The Art of Proof: Basic Training for Deeper Mathematics (Undergraduate Texts in Mathematics) free ebook download.

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The Art of Proof: Basic Training for Deeper Mathematics (Undergraduate Texts in Mathematics) free ebook download

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Mathematics

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Catalogue

Author(s):	Matthias Beck and Ross Geoghegan

Date:	2010	Format:	pdf	Language:	English	ISBN/ASIN:	1441970223
Pages:	182	OCR:		Quality:		ISBN13:
Uploader:	eternal	Upload Date:	7/7/2024 7:31:00 AM

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1441970223 pdf
Presents fundamental mathematics, integers and real numbers, in a way that asks for student participation, while teaching how mathematics is done Provides students with methods and ideas they can use in future courses Primarily for: undergraduates who have studied calculus or linear algebra  mathematics teachers and teachers-in-training  scientists and social scientists who want to strengthen their command of mathematical methods Extra topics in appendices give instructor flexibility

The Art of Proof is designed for a one-semester or two-quarter course. A typical student will have studied calculus (perhaps also linear algebra) with reasonable success. With an artful mixture of chatty style and interesting examples, the student's previous intuitive knowledge is placed on solid intellectual ground. The topics covered include: integers, induction, algorithms, real numbers, rational numbers, modular arithmetic, limits, and uncountable sets. Methods, such as axiom, theorem and proof, are taught while discussing the mathematics rather than in abstract isolation. Some of the proofs are presented in detail, while others (some with hints) may be assigned to the student or presented by the instructor. The authors recommend that the two parts of the book – Discrete and Continuous – be given equal attention. The book ends with short essays on further topics suitable for seminar-style presentation by small teams of students, either in class or in a mathematics club setting. These include: continuity, cryptography, groups, complex numbers, ordinal number, and generating functions.

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3264693	Book	https://nitroflare.com/view/FC872053F841...		2.00	eternal

Tags: Basic Deeper Mathematics Mathematics Proof Texts Training Undergraduate

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