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.
"synopsis" may belong to another edition of this title.
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.Language Notes:
Text: English (translation)
Original Language: Russian
"About this title" may belong to another edition of this title.
Book Description Book Condition: New. New. SoftCover International edition. Different ISBN and Cover image but contents are same as US edition.Perfect condition. Ship by express service to USA, Canada, Australia, France, Italy, UK, Germany and Netherland. Customer satisfaction our priority. Bookseller Inventory # ABE-190516-36400
Book Description Book Condition: Brand New. New. SoftCover International edition. Different ISBN and Cover image but contents are same as US edition. Customer Satisfaction guaranteed!!. Bookseller Inventory # SHAK36400
Book Description Dover. Book Condition: Brand New. This is Brand New International Edition, Paperback, Different ISBN, Same contents, Excellent Quality with Shrink Wrap, English language, Perfect condition. Please contact us for any questions regarding this book.!!. Bookseller Inventory # TBZ-5415
Book Description Prentice Hall. Hardcover. Book Condition: New. 0131122924 New Condition. Bookseller Inventory # NEW6.0046201
Book Description Prentice Hall, 1963. Hardcover. Book Condition: New. Bookseller Inventory # P110131122924
Book Description Prentice Hall, 1963. Hardcover. Book Condition: New. Bookseller Inventory # DADAX0131122924