Introduction to the Calculus of Variations by Hans Sagan
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About this book :-
This is an excellent text provides for thorough understanding of the problems, methods and techniques of the calculus of variations and prepares readers for advanced studies in optimal control theory. It focuses on single integral variational problems in one or more unknown functions, employing the Riemannian sense of integration. It deals with optimizing functionals and has applications in physics, engineering, and economics. It covers important topics like Euler’s equation and optimization problems, making these complex ideas accessible to students. Iterative methods, on the other hand, are techniques used to find approximate solutions to math problems, but they aren’t the main focus of Sagan’s book.
Before starting this book, the student should be able to use the implicit function theorem in a variety of situations, he should be familiar with the Heine-Borel theorem, and he should know the standard existence and uniqueness theorems from the theory of ordinary differential equations.
Book Detail :-
This book has following details information.
Title:
Introduction to the Calculus of Variations by Hans Sagan by NA
Publisher:
McGraw'IIiIl
Series:
Selected by Scholars
Year:
1969
Pages:
460
Type:
PDF
Language:
English
ISBN-10 #:
0486673669
ISBN-13 #:
978-0486673660
Country:
Pakistan
License:
N\A
Get this book from Amazon
About Author :-
The author NA
NA
Book Contents :-
conver the following topics.
1. EXTREME VALUES OF FUNCTIONALS
2. THE THEORY OF THE FIRST VARIATION
3. THEORY OF FIELDS AND SUFFICIENT CONDITIONS FOR A strong relative EXTREMUM
4. THE HOMOGENEOUS PROBLEM
5. THE HAIVHLTON-JACOBt THEORY AND THE MINIMUM PRINCIPLE OF PONTRYAGIN
6. THE PROBLEM OF LAGRANGE AND THE ISOPERIMETRIC PROBLEM
7. THE THEORY OF THE SECOND VARIATION
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