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Functions of Several Variables - Hardcover

 
9780412233302: Functions of Several Variables

Synopsis

This book is aimed at mathematics students, typically in the second year of a university course. The first chapter, however, is suitable for first-year students. Differentiable functions are treated initially from the standpoint of approximating a curved surface locally by a fiat surface. This enables both geometric intuition, and some elementary matrix algebra, to be put to effective use. In Chapter 2, the required theorems - chain rule, inverse and implicit function theorems, etc- are stated, and proved (for n variables), concisely and rigorously. Chapter 3 deals with maxima and minima, including problems with equality and inequality constraints. The chapter includes criteria for discriminating between maxima, minima and saddlepoints for constrained problems; this material is relevant for applications, but most textbooks omit it. In Chapter 4, integration over areas, volumes, curves and surfaces is developed, and both the change-of-variable formula, and the Gauss-Green-Stokes set of theorems are obtained. The integrals are defined with approximative sums (ex­ pressed concisely by using step-functions); this preserves some geometrical (and physical) concept of what is happening. Consequent on this, the main ideas of the 'differential form' approach are presented, in a simple form which avoids much of the usual length and complexity. Many examples and exercises are included.

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  • PublisherChapman & Hall
  • Publication date1981
  • ISBN 10 0412233304
  • ISBN 13 9780412233302
  • BindingHardcover
  • LanguageEnglish

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9780412233401: Functions of several variables

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ISBN 10:  0412233401 ISBN 13:  9780412233401
Publisher: Springer, 1981
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Craven, B. D.
Published by CRC Press, 1981
ISBN 10: 0412233304 ISBN 13: 9780412233302
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ISBN 10: 0412233304 ISBN 13: 9780412233302
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Condition: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,400grams, ISBN:0412233304. Seller Inventory # 9486717

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ISBN 10: 0412233304 ISBN 13: 9780412233302
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Hardcover. First Edition. Octavo; G; light gray spine with blue text; first edition; no jacket; cloth exterior shows some soiling wear; minor edge wear; good, solid binding; textblock exterior edges have yellowish toning; previous owner's bookplate to front pastedown; slight highlights to few pages; Illustrated; pp 136. 1367953. FP New Rockville Stock. Seller Inventory # 1367953

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B. D. Craven .
Published by Chapman & Hall, New York, NY, 1981
ISBN 10: 0412233304 ISBN 13: 9780412233302
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Hardcover. First Edition (1981), so stated. EX-LIBRARY copy, showing the usual marks, stamps, and labels. Else, Very Good: shows light wear to extremities; moderate rubbing; faint soiling. The binding remains square and secure; the text is clean. Not without flaw, clearly, but remains a handsome volume: a sturdy, presentable working copy. NOT a Remainder or Book-Club. 8vo. (8.5 x 5.75 x 0.7 inches). viii, 136 pages. Language: English. Weight: 12.2 ounces. Hardback: Laminate Boards. Seller Inventory # 49358

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Graven, B. D.
Published by Chapman & Hall, 1981
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hardcover. Condition: Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority! Seller Inventory # S_409075833

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