Functions of Several Variables

B D Craven

Published by Chapman and Hall
ISBN 10: 0412233304 / ISBN 13: 9780412233302
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HARDCOVER Legendary independent bookstore online since 1994. Reliable customer service and no-hassle return policy. Ex-Library Science and Mathematics>Mathematics>Real Analysis. Book: USED, Poor. Bookseller Inventory # 01978041223330200. Bookseller Inventory #

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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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Title: Functions of Several Variables
Publisher: Chapman and Hall
Binding: Hardcover
Book Condition: Poor

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B. D. Graven
ISBN 10: 0412233304 ISBN 13: 9780412233302
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Book Description Book Condition: Good. [ No Hassle 30 Day Returns ][ Ships Daily ] [ Underlining/Highlighting: NONE ] [ Writing: SOME ] [ Edition: first ] Publisher: Chapman & Hall Pub Date: 9/1/1981 Binding: Hardcover Pages: 136 first edition. Bookseller Inventory # 5734358

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Book Description Chapman and Hall. Hardcover. Book Condition: Poor. HARDCOVER Legendary independent bookstore online since 1994. Reliable customer service and no-hassle return policy. Ex-Library Science and Mathematics>Mathematics>Real Analysis. Book: USED, Poor. Bookseller Inventory # 01978041223330200. Bookseller Inventory # 01978041223330200

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Book Description Chapman & Hall, 1981. Book Condition: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. With usual stamps and markings, In good all round condition. No dust jacket. , 450grams, ISBN:0412233304. Bookseller Inventory # 6498649

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Book Description Chapman & Hall, New York, NY, 1981. 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. Bookseller Inventory # 49358

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