Home : Book details

Introduction to the Calculus of Variations (Dover Books on Mathematics) free ebook download

Category:
Mathematics

Views: 651
Likes: 72

Catalogue

Author(s):	Hans Sagan

Date:	2021	Format:	epub	Language:	English	ISBN/ASIN:	0486673669
Pages:	480	OCR:		Quality:		ISBN13:
Uploader:	topron	Upload Date:	6/11/2021 5:28:13 AM

To download click on link in the Links Table below

Description: Click to see full description

". . . eminently suitable as a text for an introductory course: the style is pleasant  the prerequisites are kept to a minimum . . . and the pace of the development is appropriate for most students at the senior or first year graduate level."  American Mathematical Monthly
The purpose of this text is to lay a broad foundation for an understanding of the problems of the calculus of variations and its many methods and techniques, and to prepare readers for the study of modern optimal control theory. The treatment is limited to a thorough discussion of single-integral problems in one or more unknown functions, where the integral is employed in the riemannian sense.
The first three chapters deal with variational problems without constraints. Chapter 4 is a self-contained treatment of the homogeneous problem in the two-dimensional plane. In Chapter 5, the minimum principle of Pontryagin as it applies to optimal control problems of nonpredetermined duration, where the state variables satisfy an autonomous system of first-order equations, is developed to the extent possible by classical means within the general framework of the Hamilton-Jacobi theory. Chapter 6 is devoted to a derivation of the multiplier rule for the problem of Mayer with fixed and variable endpoints and its application to the problem of Lagrange and the isoperimetric problem. In the last chapter, Legendre's necessary condition for a weak relative minimum and a sufficient condition for a weak relative minimum are derived within the framework of the theory of the second variation.
This book, which includes many strategically placed problems and over 400 exercises, is directed to advanced undergraduate and graduate students with a background in advanced calculus and intermediate differential equations, and is adaptable to either a one- or two-semester course on the subject.

Links Table

	Title	Link	Password	Size (MB)	Thank to	Inform Admin
3008258	Book	https://tezfiles.com/file/984bdcb1bc6e3/...		0.00	topron

Tags: Books Calculus Dover Introduction Mathematics Variations

Title	Link	Password	Size	Reason

Those who downloaded this book also downloaded the following books:
Comments

New comment:

Introduction to the Calculus of Variations (Dover Books on Mathematics) free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics