# Calculus of Variations

Courier Corporation, 1 de gen. 2000 - 232 pàgines

Based on a series of lectures given by I. M. Gelfand at Moscow State University, this book actually goes considerably beyond the material presented in the lectures. The aim is to give a treatment of the elements of the calculus of variations in a form both easily understandable and sufficiently modern. Considerable attention is devoted to physical applications of variational methods, e.g., canonical equations, variational principles of mechanics, and conservation laws.
The reader who merely wishes to become familiar with the most basic concepts and methods of the calculus of variations need only study the first chapter. Students wishing a more extensive treatment, however, will find the first six chapters comprise a complete university-level course in the subject, including the theory of fields and sufficient conditions for weak and strong extrema. Chapter 7 considers the application of variational methods to the study of systems with infinite degrees of freedom, and Chapter 8 deals with direct methods in the calculus of variations. The problems following each chapter were made specially for this English-language edition, and many of them comment further on corresponding parts of the text. Two appendices and suggestions for supplementary reading round out the text.
Substantially revised and corrected by the translator, this inexpensive new edition will be welcomed by advanced undergraduate and graduate students of mathematics and physics.

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#### LibraryThing Review

Revisió d'Usuari  - giant_bug - LibraryThing

Amazing that this is still in print. I used this in my C of V class 20 years ago. Llegeix la ressenya completa

### Continguts

 ELEMENTS OF THE THEORY 1 FURTHER GENERALIZAT1ONS 34 THE GENERAL VARIATION OF A FUNCTIONAL 54 THE CANONICAL FORM OF THE EULER EQUATIONS AND RELATED TOPICS 67 THE SECOND VARIATION SUFFICIENT CONDITIONS FOR A WEAK EXTREMUM 97
 FIELDS SUFFICIENT CONDITIONS FOR A STRONG EXTREMUM 131 VARIATIONAL PROBLEMS INVOLVING MULTIPLE INTEGRALS 152 DIRECT METHODS IN THE CALCULUS OF VARIATIONS 192 Copyright

### Referències a aquest llibre

 Density-Functional Theory of Atoms and MoleculesPrevisualització limitada - 1994
 Nonlinear Programming: Sequential Unconstrained Minimization TechniquesPrevisualització no disponible - 1990
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