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Series on Stability, Vibration and Control of Systems, Series A - Vol. 12

THE CALCULUS OF VARIATIONS AND FUNCTIONAL ANALYSIS
With Optimal Control and Applications in Mechanics

by Leonid P Lebedev (National University of Colombia, Colombia & Rostov State University, Russia) & Michael J Cloud (Lawrence Technological University, USA)

Preface (43k)
Table of Contents (74k)
Chapter1: Basic Calculus of Variations
Chapter 1.1: Introduction (180k)

This is a book for those who want to understand the main ideas in the theory of optimal problems. It provides a good introduction to classical topics (under the heading of "the calculus of variations") and more modern topics (under the heading of "optimal control"). It employs the language and terminology of functional analysis to discuss and justify the setup of problems that are of great importance in applications. The book is concise and self-contained, and should be suitable for readers with a standard undergraduate background in engineering mathematics.


Contents:

  • Basic Calculus of Variations
  • Elements of Optimal Control Theory
  • Functional Analysis
  • Some Applications in Mechanics


Readership: Graduate students, academics and practitioners in engineering, applied physics and applied mathematics.


"I recommend this book to all engineers who are interested in modern mathematics. Moreover, mathematicians can learn a lot about direct applications of mathematical theory in mechanics."

Arnd Rösch
Technical University of Berlin





"The present book is lucid, well-connected, and concise. The material has been carefully chosen. Throughout the book, the authors lay stress on central ideas as they present one powerful mathematical tool after another. The reader is thus prepared not only to apply the material to his or her own work, but also to delve further into the literature if desired."

Technische Mechanik





“This book is a significant contribution to the process of successful preparation of engineering students. It is also a good methodical foundation for engineers and lecturers in their work.”

Zentralblatt MATH





“This book is a welcome addition to the literature on applications of optimal control to various fields in engineering such as mechanics. It is well-written with exercises at the end of each chapter including the hints for the exercises.”

International Journal of Robust and Nonlinear Control




436pp Pub. date: Dec 2003
ISBN 981-238-581-9 US$94 / £69


Copyright © 2008 World Scientific Publishing Co. All rights reserved.
Updated on 23 July 2008