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1. Calculus of Variations by I. M. Gelfand, S. V. Fomin | |
Paperback: 240
Pages
(2000-10-16)
list price: US$10.95 -- used & new: US$6.52 (price subject to change: see help) Asin: 0486414485 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (15)
Ok if you are a mathematician
Very useful
Encompassing concise and comprehensible
Quite clear, straight-forward explanations
Calculus of Variations |
2. Calculus of Variations by Robert Weinstock | |
Paperback: 326
Pages
(1974-06-01)
list price: US$15.95 -- used & new: US$9.41 (price subject to change: see help) Asin: 0486630692 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (5)
Calculus of Variations
Will never collect dust All of the beginning material on the calculus of variations is covered in the book, and its application to Lagrangian and Hamiltonian mechanics, elasticity, quantum mechanics, and electrostatics. Isoperimetric problems are treated, the vibrating string and membrane, and the Sturm-Liouville system and its origin as an eigenvalue problem in variational calculus. In the latter, the reader can see the origing of some of special function solutions, such as the Bessel functions and Laguerre polynomials. The reading of this book will amply prepare the reader for applying it to problems in quantum field theory, economics, radiology, financial engineering, logistics, optimization theory, computational geometry, control theory, and the theory of evolutionary strategies. In addition, the book will allow the reader to move on to more advanced areas of mathematics, such as the theory of minimal surfaces, Morse theory, and geometric measure theory.
A standard work on variational calculus fairly rigorous but the emphasis is not on proofs. Many books on this subject require an advanced knowledge of analysis including such things as the Lebesgue integral etcetera. This is not required here this is a book that a physicist or engineer will be entirely comfortable with. There are other books that introduce the fundamentals in a shorter space Gelfand and Fomin
The book is good DESPITE its claims for mathematical rigour I strongly recommend it for a standard course on variational calculus.
A brief , but wondeful textbook in Calculus of Variations |
3. An Introduction to the Calculus of Variations by Charles Fox | |
Paperback: 279
Pages
(2010-10-18)
list price: US$12.95 -- used & new: US$9.90 (price subject to change: see help) Asin: 0486654990 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description In this highly regarded text for advanced undergraduate and graduate students, the author develops the calculus of variations both for its intrinsic interest and for its powerful applications to modern mathematical physics. Topics include first and second variations of an integral, generalizations, isoperimetrical problems, least action, special relativity, elasticity, more. 1963 edition. Customer Reviews (2)
Geared for classical mechanics If your interest is in physics this is a FAR better book to choose than Sagan.
Excellent Book on the Calculus of Variations |
4. Introduction to the Calculus of Variations by Bernard Dacorogna | |
Paperback: 300
Pages
(2008-12-10)
list price: US$54.00 -- used & new: US$47.15 (price subject to change: see help) Asin: 1848163347 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This book serves both as a guide to the expansive existing literature and as an aid to the non-specialist -- mathematicians, physicists, engineers, students or researchers -- in discovering the subject s most important problems, results and techniques. Despite the aim of addressing non-specialists, mathematical rigor has not been sacrificed; most of the theorems are either fully proved or proved under more stringent conditions. In this new edition, the chapter on regularity has been significantly expanded and 27 new exercises have been added. The book, containing a total of 103 exercises with detailed solutions, is well designed for a course at both undergraduate and graduate levels. Contents: Preliminaries; Classical Methods; Direct Methods: Existence; Direct Methods: Regularity; Minimal Surfaces; Isoperimetric Inequality; Solutions to the Exercises. |
5. Calculus of Variations by Lev D. Elsgolc | |
Paperback: 192
Pages
(2007-01-15)
list price: US$11.95 -- used & new: US$6.24 (price subject to change: see help) Asin: 0486457990 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This concise text offers an introduction to the fundamentals and standard methods of the calculus of variations. In addition to surveys of problems with fixed and movable boundaries, its subjects include practical direct methods for solution of variational problems. Each chapter features numerous illustrative problems, with solutions. 1961 edition. Customer Reviews (1)
Calculus of Variations by Lev D. Elsgolc |
6. Introduction to the Calculus of Variations by Hans Sagan | |
Paperback: 449
Pages
(1992-12-21)
list price: US$19.95 -- used & new: US$11.77 (price subject to change: see help) Asin: 0486673669 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (4)
Good but could be better
Wonderful
Clear and well written
Very nice book on variational calculus |
7. Calculus of variations by Andrew Russell Forsyth | |
Paperback: 656
Pages
(1960)
Asin: B0007DU7JO Canada | United Kingdom | Germany | France | Japan | |
8. The Calculus of Variations (Universitext) by Bruce van Brunt | |
Paperback: 302
Pages
(2010-11-02)
list price: US$79.95 -- used & new: US$60.34 (price subject to change: see help) Asin: 1441923160 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Suitable for advanced undergraduate and graduate students of mathematics, physics, or engineering, this introduction to the calculus of variations focuses on variational problems involving one independent variable. It also discusses more advanced topics such as the inverse problem, eigenvalue problems, and Noether’s theorem. The text includes numerous examples along with problems to help students consolidate the material. Customer Reviews (5)
A good introduction
Excellent book
Excellent.
A very good introductory book to Calculus of Variations
A delightful read. |
9. A History of the Calculus of Variations in the Eighteenth Century (Ams Chelsea Publishing) by Robert Woodhouse | |
Hardcover: 154
Pages
(2004-04-13)
list price: US$30.00 -- used & new: US$27.50 (price subject to change: see help) Asin: 0821836471 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
10. Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations (Applied Mathematical Sciences) by Gilles Aubert, Pierre Kornprobst | |
Paperback: 377
Pages
(2010-11-02)
list price: US$74.95 -- used & new: US$60.14 (price subject to change: see help) Asin: 1441921826 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The updated 2nd edition of this book presents a variety of image analysis applications, reviews their precise mathematics and shows how to discretize them. For the mathematical community, the book shows the contribution of mathematics to this domain, and highlights unsolved theoretical questions. For the computer vision community, it presents a clear, self-contained and global overview of the mathematics involved in image procesing problems. The second edition offers a review of progress in image processing applications covered by the PDE framework, and updates the existing material. The book also provides programming tools for creating simulations with minimal effort. Customer Reviews (1)
It is my bible! |
11. Calculus of Variations (Cambridge Studies in Advanced Mathematics) by Jürgen Jost, Xianqing Li-Jost | |
Paperback: 340
Pages
(2008-04-07)
list price: US$65.00 -- used & new: US$58.11 (price subject to change: see help) Asin: 0521057124 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
12. A History of the Calculus of Variations from the 17th through the 19th Century (Studies in the History of Mathematics and Physical Sciences) by Herman. H. Goldstine | |
Hardcover: 410
Pages
(1980-12-16)
list price: US$98.00 Isbn: 0387905219 Canada | United Kingdom | Germany | France | Japan | |
13. Applied Calculus of Variations for Engineers by Louis Komzsik | |
Hardcover: 175
Pages
(2008-10-27)
list price: US$62.95 -- used & new: US$42.48 (price subject to change: see help) Asin: 1420086626 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The subject of calculus of variations is to find optimal solutions to engineering problems where the optimum may be a certain quantity, a shape, or a function. Applied Calculus of Variations for Engineers addresses this very important mathematical area applicable to many engineering disciplines. Its unique, application-oriented approach sets it apart from the theoretical treatises of most texts. It is aimed at enhancing the engineer’s understanding of the topic as well as aiding in the application of the concepts in a variety of engineering disciplines. The first part of the book presents the fundamental variational problem and its solution via the Euler–Lagrange equation. It also discusses variational problems subject to constraints, the inverse problem of variational calculus, and the direct solution techniques of variational problems, such as the Ritz, Galerkin, and Kantorovich methods. With an emphasis on applications, the second part details the geodesic concept of differential geometry and its extensions to higher order spaces. It covers the variational origin of natural splines and the variational formulation of B-splines under various constraints. This section also focuses on analytic and computational mechanics, explaining classical mechanical problems and Lagrange’s equations of motion. |
14. Calculus of Variations I: The Lagrangian Formalism (Grundlehren der mathematischen Wissenschaften) (Vol 1) by Mariano Giaquinta, Stefan Hildebrandt | |
Hardcover: 474
Pages
(1995-12-12)
list price: US$195.00 -- used & new: US$149.83 (price subject to change: see help) Asin: 354050625X Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
15. Real Analysis and Applications: Including Fourier Series and the Calculus of Variations by Frank Morgan | |
Hardcover: 208
Pages
(2005-12-06)
list price: US$41.00 -- used & new: US$26.96 (price subject to change: see help) Asin: 0821838415 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Great Intro to Advanced Math |
16. Calculus of Variations and Partial Differential Equations of First Order by Constantin Caratheodory, C. Carathéodory | |
Hardcover: 402
Pages
(1999-02)
list price: US$49.00 -- used & new: US$44.10 (price subject to change: see help) Asin: 0821819992 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
supreme |
17. Lectures on the Calculus of Variations by Oskar Bolza | |
Hardcover:
Pages
(1931)
Asin: B000K1GEHW Canada | United Kingdom | Germany | France | Japan | |
18. A Primer on the Calculus of Variations and Optimal Control Theory (Student Mathematical Library) by Mike Mesterton-Gibbons | |
Paperback: 252
Pages
(2009-07-17)
list price: US$45.00 -- used & new: US$44.31 (price subject to change: see help) Asin: 0821847724 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Very methodical introduction |
19. Stochastic Calculus of Variations in Mathematical Finance (Springer Finance) by Paul Malliavin, Anton Thalmaier | |
Paperback: 142
Pages
(2010-11-02)
list price: US$69.95 -- used & new: US$69.95 (price subject to change: see help) Asin: 3642077838 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Highly esteemed author Topics covered are relevant and timely |
20. Calculus of Variations (Carus Monograph) by Gilbert Ames Bliss | |
Hardcover: 202
Pages
(1978-07)
list price: US$77.00 Isbn: 088385001X Canada | United Kingdom | Germany | France | Japan | |
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