Advanced Calculus of Several Variables by C.H. Edwards (English) Paperback Book

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Modern conceptual treatment of multivariable calculus, emphasizing interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. Over 400 well-chosen problems. 1973 edition.

FORMATPaperback LANGUAGEEnglish CONDITIONBrand New Publisher Description

In this high-level treatment, the author provides a modern conceptual approach to multivariable calculus, emphasizing the interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. At the same time, the book gives equal attention to the classical applications and computational methods responsible for much of the interest and importance of this subject.Beginning with a discussion of Euclidean space and linear mappings, Professor Edwards (University of Georgia) follows with a thorough and detailed exposition of multivariable differential and integral calculus. Among the topics covered are the basics of single-variable differential calculus generalized to higher dimensions, the use of approximation methods to treat the fundamental existence theorems of multivariable calculus, iterated integrals and change of variable, improper multiple integrals and a comprehensive discussion, from the viewpoint of differential forms, of the classical material associated with line and surface integrals, Stokes' theorem, and vector analysis. The author closes with a modern treatment of some venerable problems of the calculus of variations.Intended for students who have completed a standard introductory calculus sequence, the book includes many hundreds of carefully chosen examples, problems, and figures. Indeed, the author has devoted a great deal of attention to the 430 problems, mainly concrete computational ones, that will reward students who solve them with a rich intuitive and conceptual grasp of the material.

Long Description

Modern conceptual treatment of multivariable calculus, emphasizing interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. Over 400 well-chosen problems. 1973 edition.

Details ISBN0486683362 Short Title ADVD CALCULUS OF SEVERAL VARIA Language English ISBN-10 0486683362 ISBN-13 9780486683362 Media Book Format Paperback Imprint Dover Publications Inc. Place of Publication New York Country of Publication United States Illustrations 161ill. Edition Revised edition DOI 10.1604/9780486683362 UK Release Date 2003-03-17 AU Release Date 2003-03-17 NZ Release Date 2003-03-17 Author C.H. Edwards Pages 480 Publisher Dover Publications Inc. Edition Description Revised edition Year 2003 DEWEY 515 Audience General Series Dover Books on Mathema 1.4tics Publication Date 2003-03-28 US Release Date 2003-03-28 We've got this

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