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Introduction to the Calculus of Variations and Control with Modern Applications

Higher_conscious_crystals
(2017)
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Item specifics

Condition
Very Good: A book that has been read and does not look new, but is in excellent condition. No ...
Personalized
Yes
Features
Inscribed, Signed
ISBN
9781466571396

About this product

Product Identifiers

Publisher
CRC Press LLC
ISBN-10
146657139X
ISBN-13
9781466571396
eBay Product ID (ePID)
27038841652

Product Key Features

Number of Pages
562 Pages
Language
English
Publication Name
Introduction to the Calculus of Variations and Control with Modern Applications
Publication Year
2013
Subject
Differential Equations / General, General, Calculus, Applied
Type
Textbook
Author
John A. Burns
Subject Area
Mathematics
Format
Hardcover

Dimensions

Item Height
1.3 in
Item Weight
42.5 Oz
Item Length
9.4 in
Item Width
6.2 in

Additional Product Features

Intended Audience
Scholarly & Professional
Dewey Edition
23
Illustrated
Yes
Dewey Decimal
515.64
Table Of Content
Calculus 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.
Synopsis
Introduction 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 Number
QA315

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Higher_conscious_crystals

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