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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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Functions of several variables.
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London & new York: Chapman and Hall, 1981
ISBN 10: 0412233401
ISBN 13: 9780412233401
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First Edition
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1st. Edn. Paperback. pp. viii, 137. Front cover creased at top corner, else a very good clean and sound copy. Seller Inventory # 2189
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Functions of several variables
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Functions of Several Variables
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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 soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,300grams, ISBN:0412233401. Seller Inventory # 5839939
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Functions of several variables
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Functions of Several Variables
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Functions of Several Variables
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Functions of several variables
Published by
Chapman and Hall, 1981
ISBN 10: 0412233401
ISBN 13: 9780412233401
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Functions of Several Variables
Print on DemandSeller: Majestic Books, Hounslow, United Kingdom
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Condition: New. Print on Demand pp. 148 25:B&W 5.83 x 8.27 in or 210 x 148 mm (A5) Perfect Bound on White w/Gloss Lam. Seller Inventory # 95972944
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Functions of several variables
Published by
Springer Netherlands, Springer Netherlands, 1981
ISBN 10: 0412233401
ISBN 13: 9780412233401
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Seller: AHA-BUCH GmbH, Einbeck, Germany
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9780412233401
Quantity: 1 available
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Functions of Several Variables
Print on DemandSeller: Biblios, Frankfurt am main, HESSE, Germany
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Condition: New. PRINT ON DEMAND pp. 148. Seller Inventory # 1897505669
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