MOMENTAN AUSVERKAUFT
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Product Identifiers
PublisherDover Publications, Incorporated
ISBN-100486414485
ISBN-139780486414485
eBay Product ID (ePID)1822771
Product Key Features
Number of Pages256 Pages
Publication NameCalculus of Variations
LanguageEnglish
SubjectDifferential Equations / General, Functional Analysis, Calculus
Publication Year2000
TypeTextbook
AuthorS. V. Fomin, I. M. Gelfand
Subject AreaMathematics
SeriesDover Books on Mathematics Ser.
FormatTrade Paperback
Dimensions
Item Height0.5 in
Item Weight11.2 Oz
Item Length8.5 in
Item Width5.2 in
Additional Product Features
Intended AudienceCollege Audience
LCCN00-057099
Dewey Edition21
IllustratedYes
Dewey Decimal515/.64
Edition DescriptionUnabridged edition
SynopsisFresh, lively text serves as a modern introduction to the subject, with applications to the mechanics of systems with a finite number of degrees of freedom. Ideal for math and physics students., 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., First six chapters include theory of fields and sufficient conditions for weak and strong extrema. Chapter seven considers application of variation methods to systems with infinite degrees of freedom, and Chapter eight deals with direct methods in the calculus of variations. Problems follow each chapter and the 2 appendices., Fresh, lively text serves as a modern introduction to the subject, with applications to the mechanics of systems with a finite number of degrees of freedom. Ideal for math and physics students.
LC Classification NumberQA315.G417
