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16043Optimal Design of Multi-Phase Materials: With a Cost Functional That Depends Nonlinearly on The Gradient (SpringerBriefs in Mathematics)
https://www.freebookspot.pro/book/Optimal-Design-of-Multi-Phase-Materials-With-a-Cost-Functional-That-Depends-Nonlinearly-on-The-Gradient-SpringerBriefs-in-Math/2116928
3030981908 pdf
This book aims the optimal design of a material (thermic or electrical) obtained as the mixture of a finite number of original materials, not necessarily isotropic. The problem is to place these materials in such a way that the solution of the corresponding state equation minimizes a certain functional that can depend nonlinearly on the gradient of the state function. This is the main novelty in the book.
It is well known that this type of problems has no solution in general and therefore that it is needed to work with a relaxed formulation. The main results in the book refer to how to obtain such formulation, the optimality conditions, and the numerical computation of the solutions. In the case of functionals that do not depend on the gradient of the state equation, it is known that a relaxed formulation consists of replacing the original materials with more general materials obtained via homogenization. This includes materials with different properties of the originals but whose behavior can be approximated by microscopic mixtures of them. In the case of a cost functional depending nonlinearly on the gradient, it is also necessary to extend the cost functional to the set of these more general materials. In general, we do not dispose of an explicit representation, and then, to numerically solve the problem, it is necessary to design strategies that allow the functional to be replaced by upper or lower approximations.
Read more Read more... ]]>Fri, 19 Apr 2024 19:54:54 GMTLaplacian Growth on Branched Riemann Surfaces (Lecture Notes in Mathematics)
https://www.freebookspot.pro/book/Laplacian-Growth-on-Branched-Riemann-Surfaces-Lecture-Notes-in-Mathematics/2116921
3030698629 pdf
3030698629 pdf
This book studies solutions of the PolubarinovaGalin and LwnerKufarev equations, which describe the evolution of a viscous fluid (Hele-Shaw) blob, after the time when these solutions have lost their physical meaning due to loss of univalence of the mapping function involved. When the mapping function is no longer locally univalent interesting phase transitions take place, leading to structural changes in the data of the solution, for example new zeros and poles in the case of rational maps.
This topic intersects with several areas, including mathematical physics, potential theory and complex analysis. The text will be valuable to researchers and doctoral students interested in fluid dynamics, integrable systems, and conformal field theory. Read more... ]]>Fri, 19 Apr 2024 19:51:49 GMTPad Methods for Painlev Equations (SpringerBriefs in Mathematical Physics)
https://www.freebookspot.pro/book/Pad-Methods-for-Painlev-Equations-SpringerBriefs-in-Mathematical-Physics/2116908
9811629978 pdf
The isomonodromic deformation equations such as the Painlev and Garnier systems are an important class of nonlinear differential equations in mathematics and mathematical physics. For discrete analogs of these equations in particular, much progress has been made in recent decades. Various approaches to such isomonodromic equations are known: the Painlev test/Painlev property, reduction of integrable hierarchy, the Lax formulation, algebro-geometric methods, and others. Among them, the Pad method explained in this book provides a simple approach to those equations in both continuous and discrete cases.
For a given function f(x), the Pad approximation/interpolation supplies the rational functions P(x), Q(x) as approximants such as f(x)~P(x)/Q(x). The basic idea of the Pad method is to consider the linear differential (or difference) equations satisfied by
Read more Read more... ]]>Fri, 19 Apr 2024 19:14:44 GMTNovice Mathematics Teachers Professional Learning: A Multi-Case Study in Shanghai (Perspektiven der Mathematikdidaktik)
https://www.freebookspot.pro/book/Novice-Mathematics-Teachers-Professional-Learning-A-Multi-Case-Study-in-Shanghai-Perspektiven-der-Mathematikdidaktik/2116907
3658372354 pdf
This book investigates three novice high school mathematics teachers professional learning processes in the early stages of their careers at schools in Shanghai, China. Teacher professional learning is examined as a complex and dynamic system that connects both cognitive and situated perspectives on learning theory. Inspiring mathematics teachers to adopt student-focused pedagogies is challenging, particularly in China where tensions in teacher-centred, content-focused and examination-oriented practices are predominant. The three novice teachers who participated in this study brought different beliefs and knowledge derived from their different individual experiences to bear on their teaching practices. However, they were strongly influenced by the environments in which they taught and mainly adopted a professional learning approach to teacher-centred practices, despite reporting that they favoured student-centred teaching practices. The study also observed professional learning towards student-centred pedagogical aspects in a single teacher case with mentorship support, indicating that student-centred pedagogies may be promoted within the constraints of the existing dominant teaching practice.
Read more Read more... ]]>Fri, 19 Apr 2024 19:14:18 GMTLogic, Everyday Discourse, and Metaphysics (UNIPA Springer Series)
https://www.freebookspot.pro/book/Logic-Everyday-Discourse-and-Metaphysics-UNIPA-Springer-Series/2116894
303074597X pdf
This book applies the formal discipline of logic to everyday discourse. It offers a new analysis of the notion of individual, suggesting that this notion is linguistic, not ontological, and that anything denoted by a proper name in a well-functioning language game is an individual. It further posits that everyday discourse is non-compositional, i.e., its complex expressions are not just the result of putting simpler ones together but react on the latter, modifying their meaning through feedback.
The book theorizes that in everyday discourse, there is no algebra of truth values, but the latter can be both input and output of something which has no truth value at all. It suggests that an elementary proposition of everyday discourse (defined as having exactly one predicate) can, in principle, be indefinitely expanded by adding new components, belonging neither to subject nor to predicate, but remain elementary. This book is of interest to logicians and philosophers of language.
Read more Read more... ]]>Fri, 19 Apr 2024 19:07:53 GMTMuch Ado about Numbers
https://www.freebookspot.pro/book/Much-Ado-about-Numbers/2116890
1805460277 EPUB
1805460277 EPUB
"A spectacular journey… Highly recommended!" Dr Simon Smith, The Shakespeare Institute
"A fascinating and hugely entertaining guide to Shakespearean mathematics." Prof Sarah Hart, author of Once Upon A Prime
"A playful and engaging book … bound to excite the appetite of all Shakespeare junkies." Patrick Spottiswoode, Founder, Shakespeare's Globe Education
'Instead of cleaving maths and English in twain, Eastaway brings them together to surprise and delight the reader.' Dr Rebecca Fisher, The English Association
A fascinating new take on the world of Shakespeare.
What's the connection between Shakespeare and maths? A lot, as it turns out!
Shakespeare grew up in a time of remarkable mathematical innovation. From astronomy to probability, music to multiplication, new mathematical ideas were taking off - and much of this was reflected in his work. In this highly engaging book, award-winning author Rob Eastaway explores the surprising and entertaining ways that maths and numbers crop up in Shakespeare's plays.
Find out how Tudors multiplied, why Shakespeare never ended a line with the word orange, and why dice-playing was a serious hazard for the unwary. With historical asides about games, optics, astronomy, music and magic, you will never think about maths, history or Shakespeare the same way again. Read more... ]]>Fri, 19 Apr 2024 18:00:04 GMTAbout Vectors (Dover Books on Mathematics)
https://www.freebookspot.pro/book/About-Vectors-Dover-Books-on-Mathematics/2116836
0486604896 pdf
From his unusual beginning in "Defining a vector" to his final comments on "What then is a vector?" author Banesh Hoffmann has written a book that is provocative and unconventional. In his emphasis on the unresolved issue of defining a vector, Hoffmann mixes pure and applied mathematics without using calculus. The result is a treatment that can serve as a supplement and corrective to textbooks, as well as collateral reading in all courses that deal with vectors.
Major topics include vectors and the parallelogram law algebraic notation and basic ideas vector algebra scalars and scalar products vector products and quotients of vectors and tensors. The author writes with a fresh, challenging style, making all complex concepts readily understandable. Nearly 400 exercises appear throughout the text.
Professor of Mathematics at Queens College at the City University of New York, Banesh Hoffmann is also the author of The Strange Story of the Quantum and other important books. This volume provides much that is new for both students and their instructors, and it will certainly generate debate and discussion in the classroom. Read more... ]]>Fri, 19 Apr 2024 05:40:52 GMTAll Math Words Dictionary - Large Print Edition
https://www.freebookspot.pro/book/All-Math-Words-Dictionary--Large-Print-Edition/2116835
1632700085 pdf
One of the difficulties many students experience in learning math skills has to do with the fact that an entire language, both spoken and written, has grown up around math. Students that acquire that language are successful in math studies. Students that do not acquire that language have serious problems with mathematics. This dictionary is designed to aid in the acquisition of the language of math. All Math Words Dictionary is written for students of pre-algebra, beginning algebra, geometry and intermediate algebra. This dictionary is written using the four 'C's of math writing: * Concise: Definitions are compact, yet understandable. * Complete: All words and phrases of interest to students of the target classes are included, plus a few just beyond the scope of the target classes. Tables of symbols and notation, formulas, and units of measurement, plus lists of properties of objects give the student all the information needed to understand the concepts and decipher many word problems. * Correct: The definitions have been thoroughly reviewed for mathematical and literary correctness. * Comprehensible: The definitions are written to be understood by students in the target classes. Abundant illustrations aid in understanding. This dictionary has: * over 3000 entries * more than 140 defined notations * in excess of 790 illustrations * International Phonetic Alphabet (IPA) pronunciation guide and lt * greater than 1400 formulas, equations, definitions, examples, iden Read more... ]]>Fri, 19 Apr 2024 05:31:56 GMTStochastic Methods in Scientific Computing: From Foundations to Advanced Techniques (Chapman <![CDATA[&]]> Hall/CRC Numerical Analysis and Scientific Computing Series)
https://www.freebookspot.pro/book/Stochastic-Methods-in-Scientific-Computing-From-Foundations-to-Advanced-Techniques-Chapman-HallCRC-Numerical-Analysis-and-S/2116814
1498796338 pdf
Stochastic Methods in Scientific Computing: From Foundations to Advanced Techniques introduces the reader to advanced concepts in stochastic modelling, rooted in an intuitive yet rigorous presentation of the underlying mathematical concepts. A particular emphasis is placed on illuminating the underpinning Mathematics, and yet have the practical applications in mind. The reader will find valuable insights into topics ranging from Social Sciences and Particle Physics to modern-day Computer Science with Machine Learning and AI in focus. The book also covers recent specialised techniques for notorious issues in the field of stochastic simulations, providing a valuable reference for advanced readers with an active interest in the field.FeaturesSelf-contained, starting from the theoretical foundations and advancing to the most recent developments in the fieldSelf-contained, starting from the theoretical foundations and advancing to the most recent developments in the fieldSuitable as a reference for post-graduates and researchers or as supplementary reading for courses in numerical methods, scientific computing, and beyondSuitable as a reference for post-graduates and researchers or as supplementary reading for courses in numerical methods, scientific computing, and beyondInterdisciplinary, laying a solid ground for field-specific applications in finance, physics and biosciences on common theoretical foundationsInterdisciplinary, laying a solid ground for field-spec Read more... ]]>Fri, 19 Apr 2024 03:51:24 GMTFirst Observation of Fully Reconstructed B0 and Bs0 Decays into Final States Involving an Excited Neutral Charm Meson in LHCb (Springer Theses)
https://www.freebookspot.pro/book/First-Observation-of-Fully-Reconstructed-B0-and-Bs0-Decays-into-Final-States-Involving-an-Excited-Neutral-Charm-Meson-in-LHCb-S/2116619
3031227522 pdf
This book presents the latest results on the branching fraction and phase space distribution of B0 and Bs0 decays into final states including excited neutral charm mesons. This work represents four years of research, and the book describes in detail all the necessary steps and techniques required to perform a physics analysis of the data recorded by the LHCb experiment in the years 20162018.
Although the results presented in this book represent the first measurement of such decays, the text is written in a manner accessible to Ph.D. students and early career researchers. Thus, all the contents included in this book are described in a pedagogical way, including technical details that would allow the results to be reproduced in future. In addition to the methodology used to perform these measurements, the book also includes a description of the theoretical background required to interpret the results presented, as well as a technical description of the LHCb detector, which provided the data sample used in this study.
Read more Read more... ]]>Thu, 18 Apr 2024 01:01:02 GMTNonlinear Blind Source Separation and Blind Mixture Identification: Methods for Bilinear, Linear-quadratic and Polynomial Mixtures (SpringerBriefs in Electrical and Computer Engineering)
https://www.freebookspot.pro/book/Nonlinear-Blind-Source-Separation-and-Blind-Mixture-Identification-Methods-for-Bilinear-Linear-quadratic-and-Polynomial-Mixtur/2116594
B08VMR5H1K pdf
This book provides a detailed survey of the methods that were recently developed to handle advanced versions of the blind source separation problem, which involve several types of nonlinear mixtures. Another attractive feature of the book is that it is based on a coherent framework. More precisely, the authors first present a general procedure for developing blind source separation methods. Then, all reported methods are defined with respect to this procedure. This allows the reader not only to more easily follow the description of each method but also to see how these methods relate to one another. The coherence of this book also results from the fact that the same notations are used throughout the chapters for the quantities (source signals and so on) that are used in various methods. Finally, among the quite varied types of processing methods that are presented in this book, a significant part of this description is dedicated to methods based on artificial neural networks, especially recurrent ones, which are currently of high interest to the data analysis and machine learning community in general, beyond the more specific signal processing and blind source separation communities. Read more... ]]>Wed, 17 Apr 2024 19:54:39 GMTGraph-Theoretic Concepts in Computer Science: 49th International Workshop, WG 2023, Fribourg, Switzerland, June 28 30, 2023, Revised Selected Papers (Lecture Notes in Computer Science)
https://www.freebookspot.pro/book/Graph-Theoretic-Concepts-in-Computer-Science-49th-International-Workshop-WG-2023-Fribourg-Switzerland-June-28-30-2023-Rev/2116582
3031433793 pdf
This volume constitutes the thoroughly refereed proceedings of the 49th International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2023.
The 33 full papers presented in this volume were carefully reviewed and selected from a total of 116 submissions. The WG 2022 workshop aims to merge theory and practice by demonstrating how concepts from graph theory can be applied to various areas in computer science, or by extracting new graph theoretic problems from applications. Read more... ]]>Wed, 17 Apr 2024 13:54:40 GMTApplied Multivariate Analysis: Using Bayesian and Frequentist Methods of Inference (Dover Books on Mathematics) Ed 2
https://www.freebookspot.pro/book/Applied-Multivariate-Analysis-Using-Bayesian-and-Frequentist-Methods-of-Inference-Dover-Books-on-Mathematics-Ed-2/2116566
0486442365 epub
Includes practical elements of matrix theory, continuous multivariate distributions and basic multivariate statistics in the normal distribution regression and the analysis of variance factor analysis and latent structure analysis canonical correlations stable portfolio analysis classifications and discrimination models control in the multivariate linear model and structuring multivariate populations. 1982 edition. Read more... ]]>Wed, 17 Apr 2024 13:47:56 GMTFluids Under Control (Advances in Mathematical Fluid Mechanics)
https://www.freebookspot.pro/book/Fluids-Under-Control-Advances-in-Mathematical-Fluid-Mechanics/2116465
303147354X pdf
This volume explores state-of-the-art developments in theoretical and applied fluid mechanics with a focus on stabilization and control. Chapters are based on lectures given at the summer school Fluids under Control, held in Prague from August 23-27, 2021. With its accessible and flexible presentation, readers will be motivated to deepen their understanding of how mathematics and physics are connected. Specific topics covered include:
Stabilization of the 3D Navier-Stokes system
Flutter stabilization of flow-state systems
Turbulence control
Design through analysis
Fluids Under Control will appeal to graduate students and researchers in both mathematics and physics. Because of the applications presented, it will also be of interest to engineers working on environmental and industrial issues.
Read more Read more... ]]>Tue, 16 Apr 2024 09:37:59 GMTConcepts of Biology,1 edition
https://www.freebookspot.pro/book/Concepts-of-Biology1-edition/2116442
0077229975 pdf
Instructors consistently ask for a textbook that helps students understand the relationships between the main concepts of biology, so they are not learning facts about biology in isolation. Mader’s Concepts of Biology was developed to fill this void. Organized around the main themes of biology, Concepts of Biology guides students to think conceptually about biology and the world around them. Just as the levels of biological organization flow from one level to the next, themes and topics in Concepts of Biology are tied to one another throughout the chapter, and between the chapters and parts. Combined with Dr. Mader’s hallmark writing style, exceptional art program, and pedagogical framework, difficult concepts become easier to understand and visualize, allowing students to focus on understanding how the concepts are related. Read more... ]]>Tue, 16 Apr 2024 06:20:33 GMTMensa New Number Puzzles
https://www.freebookspot.pro/book/Mensa-New-Number-Puzzles/2116441
1858682509 pdf
A collection of number puzzles including logic problems, mathematical puzzles, matrix problems and series puzzles, with full answers provided. Read more... ]]>Tue, 16 Apr 2024 06:17:19 GMTDual Sets of Envelopes and Characteristic Regions of Quasi-polynomials
https://www.freebookspot.pro/book/Dual-Sets-of-Envelopes-and-Characteristic-Regions-of-Quasi-polynomials/2116430
9814277274 pdf
Existence and nonexistence of roots of functions involving one or more parameters has been the subject of numerous investigations. For a wide class of functions called quasi-polynomials, the above problems can be transformed into the existence and nonexistence of tangents of the envelope curves associated with the functions under investigation. In this book, we present a formal theory of the Cheng-Lin envelope method, which is completely new, yet simple and precise. This method is both simple since only basic Calculus concepts are needed for understanding -- and precise, since necessary and sufficient conditions can be obtained for functions such as polynomials containing more than four parameters. Since the underlying principles are relatively simple, this book is useful to college students who want to see immediate applications of what they learn in Calculus to graduate students who want to do research in functional equations and to researchers who want references on roots of quasi-polynomials encountered in the theory of difference and differential equations. Read more... ]]>Tue, 16 Apr 2024 05:49:13 GMTCalculus : An Active Approach with Projects
https://www.freebookspot.pro/book/Calculus-An-Active-Approach-with-Projects/2116428
0000000000 pdf
Calculus : An Active Approach with Projects Read more... ]]>Tue, 16 Apr 2024 05:43:37 GMTActive Calculus
https://www.freebookspot.pro/book/Active-Calculus/2116425
0989897532 pdf
Active Calculus is different from most existing texts in at least the following ways: The style of the text requires students to be active learners there are very few worked examples in the text, with there instead being 3 or 4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus ideas. Each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class. The exercises are few in number and challenging in nature. The book is open source and can be used as a primary or supplemental text.
Read more... ]]>Tue, 16 Apr 2024 05:35:04 GMTCalculus for the Utterly Confused
https://www.freebookspot.pro/book/Calculus-for-the-Utterly-Confused/2116422
0070482616 pdf
I graduated from college about 13 years ago. After working in the industry for around 9 years, my math is completely gone. When I decide to go back for a higher education, I found this good easy to read and it helps me refresh my memory in particular the basic concepts. It gives just enough amount of information for me to get my feet back on the ground. It lists useful laws, formula and when combining with examples, everything starts to make sense! Read more... ]]>Tue, 16 Apr 2024 05:30:27 GMTRoutines for Reasoning: Fostering the Mathematical Practices in All Students
https://www.freebookspot.pro/book/Routines-for-Reasoning-Fostering-the-Mathematical-Practices-in-All-Students/2116316
0325078157 epub
0325078157 epub
"Routines for Reasoning will help teachers think a lot harder about what the mathematical practices meanThis book should be on every mathematics teachers bookshelf."
Elham Kazemi, Geda and Phil Condit Professor in Mathematics Education, University of Washington coauthor of Intentional Talk
"This book is a must read for every K12 teacher serious about shifting the nature of learning mathematics in the next decade."
Timothy D. Kanold, Former Director of Mathematics and Science, and School Superintendent, Adlai E. Stevenson HSD 125
Routines can keep your classroom running smoothly. Now imagine having a set of routines focused not on classroom management, but on helping students develop their mathematical thinking skills.
Read more Read more... ]]>Sun, 14 Apr 2024 12:32:31 GMTMathematical Understanding of Nature: Essays on Amazing Physical Phenomena and Their Understanding
https://www.freebookspot.pro/book/Mathematical-Understanding-of-Nature-Essays-on-Amazing-Physical-Phenomena-and-Their-Understanding/2115991
1470417014 pdf
This collection of 39 short stories gives the reader a unique opportunity to take a look at the scientific philosophy of Vladimir Arnold, one of the most original contemporary researchers. Topics of the stories included range from astronomy, to mirages, to motion of glaciers, to geometry of mirrors and beyond. In each case Arnold's explanation is both deep and simple, which makes the book interesting and accessible to an extremely broad readership. Original illustrations hand drawn by the author help the reader to further understand and appreciate Arnold's view on the relationship between mathematics and science.
Read more... ]]>Sat, 13 Apr 2024 02:26:38 GMTIntroduction to Contextual Maths in Chemistry (ISSN)
https://www.freebookspot.pro/book/Introduction-to-Contextual-Maths-in-Chemistry-ISSN/2115921
B08TCGSZ5T pdf
CHEMISTRY STUDENT GUIDES. GUIDED BY STUDENTSFor any student who has ever struggled with a mathematical understanding of chemistry, this book is for you.Mathematics is the essential tool for physical scientists. We know that confidence in using mathematics early on in a chemistry degree builds a solid foundation for further study. However, applying the abstract mathematics taught in schools to chemical phenomena is one of the biggest challenges that chemistry students face. In this book, we take a ‘chemistry-first' approach. We link the mathematics to recognisable chemical concepts, building on high school chemistry, to facilitate deeper understanding. We cover the practical mathematical skills, including representation of data as tables and graphs, and give an overview of error handling in the physical sciences. More advanced mathematical concepts are introduced, using calculus to determine kinetic rate laws, intermolecular forces and in quantifying energetic change in thermodynamics. We also introduce the concept of the complex number and its role in considering quantum wave functions, widely used in computational chemistry.There are worked examples and problem sets to provide plenty of practise material to build proficiency. We also include insights from real students, which identify common problem areas and provide the prompts that helped them to overcome these.Chemistry Student Guides are written with current students involved at every stage, guiding the b Read more... ]]>Fri, 12 Apr 2024 08:43:33 GMTHigher-Order Growth Curves and Mixture Modeling with Mplus: A Practical Guide (Multivariate Applications Series)
https://www.freebookspot.pro/book/Higher-Order-Growth-Curves-and-Mixture-Modeling-with-Mplus-A-Practical-Guide-Multivariate-Applications-Series/2115247
1138925152 epub
This practical introduction to second-order and growth mixture models using Mplus introduces simple and complex techniques through incremental steps. The authors extend latent growth curves to second-order growth curve and mixture models and then combine the two. To maximize understanding, each model is presented with basic structural equations, figures with associated syntax that highlight what the statistics mean, Mplus applications, and an interpretation of results. Examples from a variety of disciplines demonstrate the use of the models and exercises allow readers to test their understanding of the techniques. A comprehensive introduction to confirmatory factor analysis, latent growth curve modeling, and growth mixture modeling is provided so the book can be used by readers of various skill levels. The books datasets are available on the web.
Read more Read more... ]]>Wed, 10 Apr 2024 19:35:43 GMTAdventures in Mathematics
https://www.freebookspot.pro/book/Adventures-in-Mathematics/2115234
9812386831 pdf
Though elementary in nature, this book deals with fundamental issues in mathematics вЂ” number, algebra, geometry (both Euclidean and non-Euclidean) and topology. These subjects, on an advanced level, are the same ones with which much of current mathematical research is concerned and were themselves research topics of earlier periods. The material is very suitable both for advanced high school students and for college students interested in elementary mathematics from a higher standpoint. It will also be very useful to high school teachers seeking an overview of their subject matter. Read more... ]]>Wed, 10 Apr 2024 09:16:35 GMTNumerical Machine Learning
https://www.freebookspot.pro/book/Numerical-Machine-Learning/2114963
9815136992 pdf
Numerical Machine Learning is a simple textbook on machine learning that bridges the gap between mathematics theory and practice. The book uses numerical examples with small datasets and simple Python codes to provide a complete walkthrough of the underlying mathematical steps of seven commonly used machine learning algorithms and techniques, including linear regression, regularization, logistic regression, decision trees, gradient boosting, Support Vector Machine, and K-means Clustering.
Through a step-by-step exploration of concrete numerical examples, the students (primarily undergraduate and graduate students studying machine learning) can develop a well-rounded understanding of these algorithms, gain an in-depth knowledge of how the mathematics relates to the implementation and performance of the algorithms, and be better equipped to apply them to practical problems.
Key features
-Provides a concise introduction to numerical concepts in machine learning in simple terms
-Explains the 7 basic mathematical techniques used in machine learning problems, with over 60 illustrations and tables
-Focuses on numerical examples while using small datasets for easy learning
-Includes simple Python codes
-Includes bibliographic references for advanced reading
The text is essential for college and university-level students who are required to understand the fundamentals of machine learning in their courses. Read more... ]]>Mon, 08 Apr 2024 07:11:48 GMTInsights into Game Theory: An Alternative Mathematical Experience
https://www.freebookspot.pro/book/Insights-into-Game-Theory-An-Alternative-Mathematical-Experience/2114962
052187422X pdf
Few branches of mathematics have been more influential in the social sciences than game theory. In recent years, it has become an essential tool for all social scientists studying the strategic behaviour of competing individuals, firms and countries. However, the mathematical complexity of game theory is often very intimidating for students who have only a basic understanding of mathematics. Insights into Game Theory addresses this problem by providing students with an understanding of the key concepts and ideas of game theory without using formal mathematical notation. The authors use four very different topics (college admission, social justice and majority voting, coalitions and co-operative games, and a bankruptcy problem from the Talmud) to investigate four areas of game theory. The result is a fascinating introduction to the world of game theory and its increasingly important role in the social sciences.
Read more... ]]>Mon, 08 Apr 2024 07:05:06 GMTBayesian Theory, First Edition
https://www.freebookspot.pro/book/Bayesian-Theory-First-Edition/2114960
0471924164 pdf
This highly acclaimed text, now available in paperback, provides a thorough account of key concepts and theoretical results, with particular emphasis on viewing statistical inference as a special case of decision theory. Information-theoretic concepts play a central role in the development of the theory, which provides, in particular, a detailed discussion of the problem of specification of so-called prior ignorance . The work is written from the authors s committed Bayesian perspective, but an overview of non-Bayesian theories is also provided, and each chapter contains a wide-ranging critical re-examination of controversial issues. The level of mathematics used is such that most material is accessible to readers with knowledge of advanced calculus. In particular, no knowledge of abstract measure theory is assumed, and the emphasis throughout is on statistical concepts rather than rigorous mathematics. The book will be an ideal source for all students and researchers in statistics, mathematics, decision analysis, economic and business studies, and all branches of science and engineering, who wish to further their understanding of Bayesian statistics Read more... ]]>Mon, 08 Apr 2024 06:29:01 GMTBayesian Theory, 1st Edition
https://www.freebookspot.pro/book/Bayesian-Theory-1st-Edition/2114959
047149464X pdf
Bayesian Theory Jose M. Bernardo Universidad de Valencia, Valencia, Spain Adrian F. M. Smith Imperial College of Science, Technology and Medicine, London, UK Bayesian Theory is the first volume of a related series of three and will be followed by Bayesian Computation, and Bayesian Methods. The series aims to provide an up–to–date overview of the why?, how? and what? of Bayesian statistics. This volume provides a thorough account of key basic concepts and theoretical results, with particular emphasis on viewing statistical inference as a special case of decision theory. Information–theoretic concepts play a central role in the development, which provides, in particular, a detailed treatment of the problem of specification of so–called "prior ignorance". The work is written from the authors’ committed Bayesian perspective, but an overview of non–Bayesian theories is provided, and each chapter contains a wide–ranging critical re–examination of controversial issues. The level of mathematics used is such that most material should be accessible to readers with a knowledge of advanced calculus. In particular, no knowledge of abstract measure theory is assumed, and the emphasis throughout is on statistical concepts rather than rigorous mathematics. The book will be an ideal source for all students and researchers in statistics, mathematics, decision analysis, economic and business studies, and all branches of science and engineering, who wish to further their understa Read more... ]]>Mon, 08 Apr 2024 06:22:19 GMTThe Math Problems Notebook
https://www.freebookspot.pro/book/The-Math-Problems-Notebook/2114956
0817645462 pdf
The Math Problems Notebook is a collection of nontrivial, unconventional problems requiring deep insight and imagination reminiscent of those discussed at Sunday Math Circles. These circles have become a place for disseminating beautiful mathematics at an elementary level for college students who have a common passion for mathematics.
The problems cover many topics, including number theory, algebra, combinatorics, geometry and analysis, of varying levels of difficulty. The presentation of each topic begins with simple exercises and follows with more difficult problems, challenging enough even for the experienced problem solver. The easier problems focus on basic methods and tools, while the more advanced problems develop problem-solving techniques, intuition and promote further research.
Undergraduates and teachers of advanced mathematics, as well as the casual mathematician will mutually enjoy The Math Problems Notebook. Read more... ]]>Mon, 08 Apr 2024 06:04:15 GMTLinear and Non-Linear System Theory
https://www.freebookspot.pro/book/Linear-and-Non-Linear-System-Theory/2114955
0367340143 pdf
Linear and Non-Linear System Theory focuses on the basics of linear and non-linear systems, optimal control and optimal estimation with an objective to understand the basics of state space approach linear and non-linear systems and its analysis thereof. Divided into eight chapters, materials cover an introduction to the advanced topics in the field of linear and non-linear systems, optimal control and estimation supported by mathematical tools, detailed case studies and numerical and exercise problems. This book is aimed at senior undergraduate and graduate students in electrical, instrumentation, electronics, chemical, control engineering and other allied branches of engineering. Read more... ]]>Mon, 08 Apr 2024 04:09:38 GMTLinear and Geometric Algebra
https://www.freebookspot.pro/book/Linear-and-Geometric-Algebra/2114954
1453854932 pdf
This textbook for the first undergraduate linear algebra course presents a unified treatment of linear algebra and geometric algebra, while covering most of the usual linear algebra topics.
Geometric algebra is an extension of linear algebra. It enhances the treatment of many linear algebra topics. And geometric algebra does much more.
Geometric algebra and its extension to geometric calculus unify, simplify, and generalize vast areas of mathematics that involve geometric ideas. They provide a unified mathematical language for many areas of physics, computer science, and other fields.
The book can be used for self study by those comfortable with the theorem/proof style of a mathematics text. This is the April 2020 printing, corrected and slightly revised.
Visit the book’s web site for more information: http://faculty.luther.edu/~macdonal/laga
I commend Alan Macdonald for his excellent book! His exposition is clean and spare. He has done a fine job of engineering a gradual transition from standard views of linear algebra to the perspective of geometric algebra. The book is sufficiently conventional to be adopted as a textbook by an adventurous teacher without getting flack from colleagues. Yet it leads to gems of geometric algebra that are likely to delight thoughtful students and surprise even the most experienced instructors.
and nbsp and nbsp and nbsp and nbsp– David Hestenes, Distinguished Research Professor, Arizona State University
Read more... ]]>Mon, 08 Apr 2024 04:01:12 GMTVector and Geometric Calculus
https://www.freebookspot.pro/book/Vector-and-Geometric-Calculus/2114953
1480132454 pdf
This textbook for the undergraduate vector calculus course presents a unified treatment of vector and geometric calculus.
This is the printing of May 2020, corrected and slightly revised.
The book is a sequel to the text Linear and Geometric Algebra by the same author. That text is a prerequisite for this one. Its web page is at and nbsp and nbspfaculty.luther.edu/~macdonal/laga.
Linear algebra and vector calculus have provided the basic vocabulary of mathematics in dimensions greater than one for the past one hundred years. Just as geometric algebra generalizes linear algebra in powerful ways, geometric calculus generalizes vector calculus in powerful ways.
Traditional vector calculus topics are covered, as they must be, since readers will encounter them in other texts and out in the world.
Differential geometry is used today in many disciplines. A final chapter is devoted to it.
Download the book's table of contents, preface, and index at the book's web site: and nbsp and nbsp faculty.luther.edu/~macdonal/vagc.
From a review of Linear and Geometric Algebra:
and nbsp and nbsp and nbsp and nbspAlan Macdonald's text is an excellent resource if you are just beginning the study of geometric algebra and would like to learn or review traditional linear algebra in the process. The clarity and evenness of the writing, as well as the originality of presentation that is evident throughout this text, suggest that the author has been successful as a mathematics teacher in the undergradua Read more... ]]>Mon, 08 Apr 2024 03:58:01 GMTPrecalculus: Real Mathematics, Real People, 7th Edition
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Ideal for courses that require the use of a graphing calculator, PRECALCULUS: REAL MATHEMATICS, REAL PEOPLE, 7th Edition, features quality exercises, interesting applications, and innovative resources to help you succeed. True to the book's focus on student support, selected examples include notations directing you to previous sections where you can review concepts and skills needed to master the material at hand. The book's careful writing and detailed solutions that begin and end on the same page, make it accessible and easy-to-read. Side-by-side solutions show algebraic, graphical, and numerical representations of the mathematics and support a variety of learning styles, and examples throughout feature real-life scenarios show you the relevance of mathematics in your life and future career. Read more... ]]>Mon, 08 Apr 2024 02:33:43 GMTSAT Math Prep: Over 400 Practice Questions + Online, 8th Edition
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Prepare for the SAT with confidence! With more than 75 years of experience and more than 95% of our students getting into their top-choice schools, Kaplan knows how to increase your score and get you into your top-choice college!
Prep Smarter. Not Harder. Kaplan’s SAT Math Prep provides everything you need to master the challenging Math on the SAT! It reviews every concept from basic Algebra to Advanced Trig and will help you focus your studies on the most important math topics to increase your score! This focused guide includes in-depth coverage of every math concept tested on the SAT as well as effective score-raising methods and strategies for building speed and accuracy from Kaplan’s top math experts.
Kaplan’s SAT Math Prep contains many essential and unique features to help improve test scores, including:
* 16 comprehensive Math Practice Sets with detailed explanations
* More than 250 practice questions with expert explanations
* Methods and Strategies to improve your Math score
* Techniques for Multiple Choice, Grid-In, and Extended Thinking questions
* Review of important Math Concepts
Kaplan provides you with everything you need to improve your Math score—guaranteed. Kaplan’s Math Workbook for the SAT is the must-have preparation tool for every student looking to score higher and get into their top-choice college! Read more... ]]>Mon, 08 Apr 2024 02:28:25 GMTMathematical Concepts of Quantum Mechanics, Third Edition
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The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline.
Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content.
It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include: many-body systems, modern perturbation theory, path integrals, the theory of resonances, adiabatic theory, geometrical phases, Aharonov-Bohm effect, density functional theory, open systems, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group.
With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. Some of the sections could be used for introductions to geometrical methods in Quantum Mechanics, to quantum information theory and to quantum electrodynamics and quantum field theory. Read more... ]]>Sun, 07 Apr 2024 06:05:07 GMTMathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review
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A reliable source of definitions, theorems, and formulas, this authoritative handbook provides convenient access to information from every area of mathematics. Coverage includes Fourier transforms, Z transforms, linear and nonlinear programming, calculus of variations, random-process theory, special functions, combinatorial analysis, numerical methods, game theory, and much more. Read more... ]]>Sun, 07 Apr 2024 05:00:12 GMTLow-Dimensional Topology (London Mathematical Society Lecture Note Series, Series Number 48)
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This volume consists of the proceedings of a conference held at the University College of North Wales (Bangor) in July of 1979. It assembles research papers which reflect diverse currents in low-dimensional topology. The topology of 3-manifolds, hyperbolic geometry and knot theory emerge as major themes. The inclusion of surveys of work in these areas should make the book very useful to students as well as researchers. Read more... ]]>Sun, 07 Apr 2024 00:58:24 GMTGeneral Quantum Numerical Analysis (ISSN)
https://www.freebookspot.pro/book/General-Quantum-Numerical-Analysis-ISSN/2114828
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This book is focused on the qualitative theory of general quantum calculus, the modern name for the investigation of calculus without limits. It centers on designing, analysing and applying computational techniques for general quantum differential equations. The quantum calculus or q-calculus began with F.H. Jackson in the early twentieth century, but this kind of calculus had already been worked out by Euler and Jacobi. Recently, it has aroused interest due to high demand of mathematics that models quantum computing and the connection between mathematics and physics.Quantum calculus has many applications in different mathematical areas such as number theory, combinatorics, orthogonal polynomials, basic hyper-geometric functions and other sciences such as quantum theory, mechanics and the theory of relativity.The authors summarize the most recent contributions in this area. General Quantum Numerical Analysis is intended for senior undergraduate students and beginning graduate students of engineering and science courses. The twelve chapters in this book are pedagogically organized, each concluding with a section of practical problems. Read more... ]]>Sun, 07 Apr 2024 00:04:41 GMTMultivariable Calculus, Metric Edition,9th edition
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MULTIVARIABLE CALCULUS, Metric, 9th Edition, provides you with the strongest foundation for a STEM future. James Stewart’s Calculus, Metric series is the top-seller in the world because of its problem-solving focus, mathematical precision and accuracy, and outstanding examples and problem sets. Selected and mentored by Stewart, Daniel Clegg and Saleem Watson continue his legacy and their careful refinements retain Stewart’s clarity of exposition and make the 9th edition an even more usable learning tool. The accompanying WebAssign includes helpful learning support and new resources like Explore It interactive learning modules. Showing that Calculus is both practical and beautiful, the Stewart approach and WebAssign resources enhance understanding and build confidence for millions of students worldwide. Read more... ]]>Sat, 06 Apr 2024 05:57:12 GMTProbability, Choice, and Reason ,1st Edition
https://www.freebookspot.pro/book/Probability-Choice-and-Reason-1st-Edition/2114786
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Much of our thinking is flawed because it is based on faulty intuition. By using the framework and tools of probability and statistics, we can overcome this to provide solutions to many real-world problems and paradoxes. We show how to do this, and find answers that are frequently very contrary to what we might expect. Along the way, we venture into diverse realms and thought experiments which challenge the way that we see the world. Read more... ]]>Sat, 06 Apr 2024 05:52:58 GMTIntroduction to Probability Models, 13th Edition
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Introduction to Probability Models: Thirteenth Edition is available in two manageable volumes: an Elementary edition appropriate for undergraduate use and an Advanced edition for graduate use. Together, and through their hallmark exercises and real examples, both versions offer a comprehensive foundation of this key subject with applications across engineering, computer science, management science, the physical and social sciences and operations research. Users will find comprehensive information that introduces them to the foundations of probability modeling and stochastic processes from Random Variables, to Markov Chains and Renewal Theory.
Awarded the 2020 Textbook Excellence Award (Texty) from the Textbook and Academic Authors Association (prior edition)
Retains the useful organization that students and professors have relied on since 1972
Includes new coverage on Martingales
Offers a single source appropriate for a range of courses from undergraduate to graduate level Read more... ]]>Sat, 06 Apr 2024 05:10:16 GMTProbability, Random Variables, and Random Processes: Theory and Signal Processing Applications
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Probability, Random Variables, and Random Processes is a comprehensive textbook on probability theory for engineers that provides a more rigorous mathematical framework than is usually encountered in undergraduate courses.
It is intended for first-year graduate students who have some familiarity with probability and random variables, though not necessarily of random processes and systems that operate on random signals. It is also appropriate for advanced undergraduate students who have a strong mathematical background.
The book has the following features:
• Several appendices include related material on integration, important inequalities and identities, frequency-domain transforms, and linear algebra. These topics have been included so that the book is relatively self-contained. One appendix contains an extensive summary of 33 random variables and their properties such as moments, characteristic functions, and entropy.
• Unlike most books on probability, numerous figures have been included to clarify and expand upon important points. Over 600 illustrations and MATLAB plots have been designed to reinforce the material and illustrate the various characterizations and properties of random quantities.
• Sufficient statistics are covered in detail, as is their connection to parameter estimation techniques. These include classical Bayesian estimation and several optimality criteria: mean-square error, mean-absolute error, maximum likelihood, method of mome Read more... ]]>Sat, 06 Apr 2024 05:03:08 GMTA First Course in Probability for Computer and Data Science
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In this undergraduate text, the author has distilled the core of probabilistic ideas and methods for computer and data science. The book emphasizes probabilistic and computational thinking rather than theorems and proofs. It provides insights and motivates the students by telling them why probability works and how to apply it. The unique features of the book are as follows: Bayesian probability with real-life cases in law and medicine Logistic regression and naive Bayes Real-world applications of probability Interweaving Monte Carlo simulation and probability Gentle introduction to Markov chains and Markov chain Monte Carlo simulation. This book contains many worked examples. Numerous instructive problems scattered throughout the text are given along with problem-solving strategies. Several of the problems extend previously covered material. Answers to all problems and worked-out solutions to selected problems are also provided. Henk Tijms is the author of several textbooks in the area of applied probability and stochastic optimization. In 2008, he received the prestigious INFORMS Expository Writing Award for his work. He also contributed engaging probability puzzles to The New York Times' former Numberplay column. Read more... ]]>Sat, 06 Apr 2024 04:57:45 GMTA First Course in Probability, 8th Edition
https://www.freebookspot.pro/book/A-First-Course-in-Probability-8th-Edition/2114778
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A First Course in Probability, Eighth Edition, features clear and intuitive explanations of the mathematics of probability theory, outstanding problem sets, and a variety of diverse examples and applications. This book is ideal for an upper-level undergraduate or graduate level introduction to probability for math, science, engineering and business students. It assumes a background in elementary calculus.
Read more... ]]>Sat, 06 Apr 2024 04:53:30 GMTProbability Theory: A First Course in Probability Theory and Statistics
https://www.freebookspot.pro/book/Probability-Theory-A-First-Course-in-Probability-Theory-and-Statistics/2114777
3110466171 pdf
This book provides a clear, precise, and structured introduction to stochastics and probability theory. It includes many descriptive examples, such as games of chance, which help promote understanding. Thus, the textbook is not only an ideal accompaniment to courses as an introduction to probability theory, but also a useful help for maths teachers looking to design a curriculum. Read more... ]]>Sat, 06 Apr 2024 04:49:07 GMTA First Course in Probability (9th edition)
https://www.freebookspot.pro/book/A-First-Course-in-Probability-9th-edition/2114776
032179477X pdf
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A First Course in Probability, Ninth Edition, features clear and intuitive explanations of the mathematics of probability theory, outstanding problem sets, and a variety of diverse examples and applications. This book is ideal for an upper-level undergraduate or graduate level introduction to probability for math, science, engineering and business students. It assumes a background in elementary calculus.
Read more... ]]>Sat, 06 Apr 2024 04:43:57 GMTA First Course in Probability, 10th Edition
https://www.freebookspot.pro/book/A-First-Course-in-Probability-10th-Edition/2114775
0134753119 pdf
For upper-level to graduate courses in Probability or Probability and Statistics, for majors in mathematics, statistics, engineering, and the sciences.
Explores both the mathematics and the many potential applications of probability theory
A First Course in Probability is an elementary introduction to the theory of probability for students in mathematics, statistics, engineering, and the sciences. Through clear and intuitive explanations, it presents not only the mathematics of probability theory, but also the many diverse possible applications of this subject through numerous examples. The 10th Edition includes many new and updated problems, exercises, and text material chosen both for interest level and for use in building student intuition about probability.
Read more... ]]>Sat, 06 Apr 2024 04:36:14 GMTA First Course in Probability, Global Edition, 10th Edition
https://www.freebookspot.pro/book/A-First-Course-in-Probability-Global-Edition-10th-Edition/2114774
1292269200 pdf
For upper-level to graduate courses in Probability or Probability and Statistics, for majors in mathematics, statistics, engineering, and the sciences.
Explores both the mathematics and the many potential applications of probability theory
A First Course in Probability is an elementary introduction to the theory of probability for students in mathematics, statistics, engineering, and the sciences. Through clear and intuitive explanations, it presents not only the mathematics of probability theory, but also the many diverse possible applications of this subject through numerous examples. The 10th Edition includes many new and updated problems, exercises, and text material chosen both for interest level and for use in building student intuition about probability. Read more... ]]>Sat, 06 Apr 2024 04:28:27 GMTA second course in probability
https://www.freebookspot.pro/book/A-second-course-in-probability/2114773
0979570409 pdf
1. Measure Theory and Laws of Large Numbers Introduction A Non-Measurable Event Countable and Uncountable Sets Probability Spaces Random Variables Expected Value Almost Sure Convergence and the Dominated Convergence Theorem Convergence in Probablitiy and in Distribution Law of Large Numbers and Ergodic Theorem Exercises 2. Stein's Method and Central Limit Theorems Introduction Coupling Poisson Approximation and Le Cam's Theorem The Stein-Chen Method Stein's Method for the Geometric Distribution Stein's Method for the Normal Distribution Exercises 3. Conditional Expectation and Martingales Introduction Conditional Expectation Martingales The Martingale Stopping Theorem The Hoeffding-Azuma Inequality Submartingales, Supermartingales, and a Convergence Theorem Exercises 4. Bounding Probabilities and Expectations Introduction Jensen's Inequality Probability Bounds via the Importance Sampling Identity Chernoff Bounds Second Moment and Conditional Expectation Inequalities The Min-Max Identity and Bounds on the Maximum Stochastic Orderings Exercises 5. Markov Chains Introduction The Transition Matrix The Strong Markov Property Classification of States Stationary and Limiting Distributions Time Reversibility A Mean Passage Time Bound Exercises 6. Renewal Theory Introduction Some Limit Theorems of Renewal Theory Renewal Reward Processes 6.3.1 Queueing Theory Applications o Read more... ]]>Sat, 06 Apr 2024 04:07:57 GMT