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Gelfand and Fomin wrote a wonderfully clear, rigorous, and concise introduction to the calculus of variations, and it requires little more than a calculus and ...

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 ...

A good book is: The Calculus of Variations by Bruce van Brunt. Cite. 2 Recommendations.

Charles MacCluer wrote a book on the subject in 2008 for students with a minimal background (basically calculus and some differential equations), Calculus of ...

7.2. CALCULUS OF VARIATIONS c 2006 Gilbert Strang 7.2 Calculus of Variations One theme of this book is the relation of equations to minimum principles. To minimize P is to solve P 0 = 0. There may be more to it, but that is the main point. For a quadratic P(u) = 1 2 uTKu uTf, there is no di culty in reaching P 0 = Ku f = 0.

calculus of variations which can serve as a textbook for undergraduate and ... in the calculus of variations imply Euler's equation.

Introduction. This clear and concise textbook provides a rigorous introduction to the calculus of variations, depending on functions of one variable and their first derivatives. It is based on a translation of a German edition of the book Variationsrechnung (Vieweg+Teubner Verlag, 2010), translated and updated by the author himself.

While predominantly designed as a textbook for lecture courses on the calculus of variations, this book can also serve as the basis for a reading seminar or as a companion for self-study. The reader is assumed to be familiar with basic vector analysis, functional analysis, Sobolev spaces, and measure theory, though most of the preliminaries are also recalled in the appendix.

Introduction to the Calculus of Variations (Dover Books on Mathematics) (Paperback). By Hans Sagan. $21.95. Email or call for price.

The best choice would be Lev.D Elsgolc book on calculus of variations. It is from the most coveted publishers(Mir publishers) and is also very affordable.

This book is intended for a first course in the calculus of variations, at the senior or beginning graduate level. The reader will learn ...

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 real functions defined on a Euclidean n-space. Chapter 3

The book by Gelfand and Fomin is quite good (and its Dover ...). Another one I like a great deal are those of Giaquinta and Hildebrandt (specially volume 1) ...