by Dover Publications .
Written in English
Jan 01, · 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 /5(6). Charles MacCluer wrote a book on the subject in for students with a minimal background (basically calculus and some differential equations), Calculus of Variations: Mechanics, Control and Other Applications.I haven't seen the whole book,but what I have seen is excellent and very readable. MacCluer says in the introduction his goal was to write a book on the subject that doesn't replace. Nov 27, · Forsyth's Calculus of Variations was published in , and is a marvelous example of solid early twentieth century mathematics. It looks at how to find a FUNCTION that will minimize a given integral. The book looks at half-a-dozen different types of problems (dealing with different numbers of independent and dependent variables). Apr 03, · Buy Introduction to the Calculus of Variations (Dover Books on Mathematics) on clic-clelia.com FREE SHIPPING on qualified ordersCited by:
calculus of variations which can serve as a textbook for undergraduate and beginning graduate students. The main body of Chapter 2 consists of well known results concerning necessary or suﬃcient criteria for local minimizers, including Lagrange mul-tiplier rules, of . encyclopedic work on the Calculus of Variations by B. Dacorogna , the book on Young measures by P. Pedregal , Giusti’s more regularity theory-focused introduction to the Calculus of Variations , as well as lecture notes on several related courses by J. Ball, J. Kristensen, A. Mielke. More recently, the calculus of variations has found applications in other fields such as economics and electrical engineering. Much of the mathematics underlying control theory, for instance, can be regarded as part of the calculus of variations. This book is an introduction to the calculus of variations for mathematicians and clic-clelia.com: Bruce Van Brunt. 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 Reviews: 1.
Dec 29, · This book is an introductory account of the calculus of variations suitable for advanced undergraduate and graduate students of mathematics, physics, or engineering. The mathematical background assumed of the reader is a course in multivariable calculus, and some familiarity with the elements of real analysis and ordinary differential equations. I think than Young measures were introduced there. The book is even worth reading only for its jokes and anecdotes! Let me also add Caratheodory's Calculus of Variations and Partial Differential Equations of First Order. $\endgroup$ – alvarezpaiva Apr 29 '13 at This book provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, etc. ( views) Calculus of Variations by Erich Miersemann - Leipzig University, This book by Robert Weinstock was written to fill the need for a basic introduction to the calculus of variations. Simply and easily written, with an emphasis on the applications of this calculus, it has long been a standard reference of physicists, engineers, and applied mathematicians.