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Introduction to the Calculus of Variations and Control with Modern Applications by John A. Burns (2013, Hardcover)
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The result is simple, clean and just challenging enough. Annotation ©2013 Book News, Inc., Portland, OR ().
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About this product
Product Identifiers
PublisherCRC Press LLC
ISBN-10146657139X
ISBN-139781466571396
eBay Product ID (ePID)27038841652
Product Key Features
Number of Pages562 Pages
LanguageEnglish
Publication NameIntroduction to the Calculus of Variations and Control with Modern Applications
Publication Year2013
SubjectDifferential Equations / General, General, Calculus, Applied
TypeTextbook
AuthorJohn A. Burns
Subject AreaMathematics
FormatHardcover
Dimensions
Item Height1.3 in
Item Weight42.5 Oz
Item Length9.4 in
Item Width6.2 in
Additional Product Features
Intended AudienceScholarly & Professional
Dewey Edition23
IllustratedYes
Dewey Decimal515.64
Table Of ContentCalculus of Variations: Historical Notes on the Calculus of Variations. Introduction and Preliminaries. The Simplest Problem in the Calculus of Variations. Necessary Conditions for Local Minima. Sufficient Conditions for the Simplest Problem. Summary for the Simplest Problem. Extensions and Generalizations. Applications. Optimal Control: Optimal Control Problems. Simplest Problem in Optimal Control. Extensions of the Fundamental Maximum Principle. Linear Control Systems.
SynopsisIntroduction to the Calculus of Variations and Control with Modern Applications provides the fundamental background required to develop rigorous necessary conditions that are the starting points for theoretical and numerical approaches to modern variational calculus and control problems. The book also presents some classical sufficient conditions and discusses the importance of distinguishing between the necessary and sufficient conditions. In the first part of the text, the author develops the calculus of variations and provides complete proofs of the main results. He explains how the ideas behind the proofs are essential to the development of modern optimization and control theory. Focusing on optimal control problems, the second part shows how optimal control is a natural extension of the classical calculus of variations to more complex problems. By emphasizing the basic ideas and their mathematical development, this book gives you the foundation to use these mathematical tools to then tackle new problems. The text moves from simple to more complex problems, allowing you to see how the fundamental theory can be modified to address more difficult and advanced challenges. This approach helps you understand how to deal with future problems and applications in a realistic work environment., This book provides the fundamental background required to develop rigorous necessary conditions that are the starting points for theoretical and numerical approaches to modern variational calculus and control problems. It also presents some classical sufficient conditions and discusses the importance of distinguishing between the necessary and sufficient conditions. By emphasizing the basic ideas and their mathematical development, the book gives you the foundation to use these mathematical tools to then tackle new problems.
LC Classification NumberQA315
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