Search results for: introduction-to-the-calculus-of-variations

Introduction to the Calculus of Variations

Author : Bernard Dacorogna
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- Serves as an excellent introduction to the calculus of variations - Useful to researchers in different fields of mathematics who want to get a concise but broad introduction to the subject - Includes more than 70 exercises with solutions

Introduction to the Calculus of Variations

Author : Hans Sagan
File Size : 85.49 MB
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Provides a thorough understanding of calculus of variations and prepares readers for the study of modern optimal control theory. Selected variational problems and over 400 exercises. Bibliography. 1969 edition.

An Introduction to the Calculus of Variations

Author : Charles Fox
File Size : 26.60 MB
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In this highly regarded text for advanced undergraduate and graduate students, the author develops the calculus of variations both for its intrinsic interest and for its powerful applications to modern mathematical physics. Topics include first and second variations of an integral, generalizations, isoperimetrical problems, least action, special relativity, elasticity, more. 1963 edition.

Introduction to the Calculus of Variations

Author : Hans Sagan
File Size : 44.89 MB
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Provides a thorough understanding of calculus of variations and prepares readers for the study of modern optimal control theory. Selected variational problems and over 400 exercises. Bibliography. 1969 edition.

Introduction to the Calculus of Variations and Control with Modern Applications

Author : John A. Burns
File Size : 55.36 MB
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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.

An Introduction to Calculus of Variations and Integral Equations

Author : Ramakanta Meher
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This textbook entitled An introduction to Calculus of variations and Integral equations is intended to study the extremals of different types of variational problems and methods of finding the explicit solutions of integral equations, where ever possible. The absence of methods of finding an exact solution is intended to study the properties of solutions of the given integral equations. This book contains a total of 07 chapters and two sections. section-I includes the calculus of variation, while section-II discusses the part of the Integral Equation. Section-I has been divided into four chapters, while section-II has been divided into 03 chapters. This book is based on the syllabi of the theory of Calculus of variations and Integral equations prescribed for postgraduate students of mathematics and applied mathematics in different institutions like N.I.T's, I.I.T's, and universities of India abroad. This book will be useful for competitive examinations as well.

Calculus of Variations II

Author : Mariano Giaquinta
File Size : 24.44 MB
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This book by two of the foremost researchers and writers in the field is the first part of a treatise that covers the subject in breadth and depth, paying special attention to the historical origins of the theory. Both individually and collectively these volumes have already become standard references.

The Calculus of Variations and Optimal Control

Author : George Leitmann
File Size : 87.76 MB
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This book is intended to present an introductory treatment of the calculus of variations in Part I and of optimal control theory in Part II. The discussion in Part I is restricted to the simplest problem of the calculus of variations. The topic is entirely classical; all of the basic theory had been developed before the turn of the century. Consequently the material comes from many sources.

An Introduction to the Calculus of Variations

Author : L. A. Pars
File Size : 41.87 MB
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Clear, rigorous introductory treatment covers applications to geometry, dynamics, and physics. It focuses upon problems with one independent variable, connecting abstract theory with its use in concrete problems. 1962 edition.

Introduction to the Calculus of Variations

Author : U. Brechteken-Mandersch
File Size : 89.20 MB
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This text provides a clear, concise introduction to the calculus of variations. The introductory chapter provides a general sense of the subject through a discussion of several classical and contemporary examples of the subject's use.