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Viac informácií o knihe Functions of several variables

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• Anotácia kniha
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Anotácia knihy

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.

Parametre knihy

Zaradenie knihy Knihy po anglicky Reference, information & interdisciplinary subjects Interdisciplinary studies

• Celý názov: Functions of several variables
• Autor: B. Craven
• Jazyk: Angličtina
• Väzba: Brožovaná
• Počet strán: 138
• EAN: 9780412233401
• ISBN: 0412233401
• ID: 02166258
• Nakladateľ: Chapman and Hall
• Hmotnosť: 202 g
• Rozmery: 210 × 148 × 9 mm
• Dátum vydania: 10. December 1981

Obľúbené z iného súdka

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