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Synopsis
Modern conceptual treatment of 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, ample attention is paid to the classical applications and computational methods. Hundreds of examples, problems and figures. 1973 edition.
"synopsis" may belong to another edition of this title.
- PublisherDover Publications Inc
- Publication date2003
- ISBN 10 0486683362
- ISBN 13 9780486683362
- BindingPaperback
- LanguageEnglish
- Number of pages480
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Advanced Calculus of Several Variables
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Advanced Calculus of Several Variables (Dover Books on Advanced Mathematics)
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Advanced Calculus of Several Variables
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Advanced Calculus of Several Variables (Dover Books on Advanced Mathematics) (Dover Books on Mathematics)
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Dover Publications Inc. 1995-04-01, 1995
ISBN 10: 0486683362
ISBN 13: 9780486683362
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Advanced Calculus of Several Variables
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Advanced Calculus of Several Variables
Published by
Dover Publications Inc., 1995
ISBN 10: 0486683362
ISBN 13: 9780486683362
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Advanced Calculus of Several Variables (Paperback or Softback)
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Dover Publications 2/28/1995, 1995
ISBN 10: 0486683362
ISBN 13: 9780486683362
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Advanced Calculus of Several Variables (Dover Books on Mathematics)
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Advanced Calculus of Several Variables (Paperback)
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Dover Publications Inc., New York, 2003
ISBN 10: 0486683362
ISBN 13: 9780486683362
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Paperback. Condition: new. Paperback. 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. 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. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780486683362
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Advanced Calculus of Several Variables
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