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Calculus in Vector Spaces, Second Edition, Revised Expanded : Pure and Applied Mathematics - Lawrence Corwin

Calculus in Vector Spaces, Second Edition, Revised Expanded

Pure and Applied Mathematics

Hardcover Published: 1st December 1994
ISBN: 9780824792794
Number Of Pages: 600

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Addressing linear algebra from the basics to the spectral theorem and examining a host of topics in multivariable calculus, including differentiation, integration, maxima and minima, the inverse and implicit function theorems, and differential forms, this thoroughly revised Second Edition of an invaluable reference/text - widely successful through five printings - continues to provide unified, integrated coverage of the two fields.
Demonstrating that mathematics is a noncompartmentalized discipline of interrelated subjects, Calculus in Vector Spaces, Second Edition introduces the derivative as a linear transformation ... presents linear algebra in a concrete context based on complementary ideas in calculus ... explains differential forms on Euclidean space permitting Green's theorem, Gauss's theorem, and Stokes's theorem to be understood in a natural setting ... gives a new clarification of compactness as defined in terms of coverings and in terms of sequences ... supplies a novel treatment of eigenvalues and eigenvectors ... and more.

Preface to the Second Edition
Preface to the First Edition
Some Preliminariesp. 1
Vector Spacesp. 19
The Derivativep. 55
The Structure of Vector Spacesp. 95
Compact and Connected Setsp. 133
The Chain Rule, Higher Derivatives, and Taylor's Theoremp. 163
Linear Transformations and Matricesp. 203
Maxima and Minimap. 239
The Inverse and Implicit Function Theoremsp. 277
The Spectral Theoremp. 303
Integrationp. 345
Iterated Integrals and the Fubini Theoremp. 387
Line Integralsp. 427
Surface Integralsp. 461
Differential Formsp. 487
Integration of Differential Formsp. 509
Appendix 1. The Existence of Determinantsp. 527
Appendix 2. Jordan Canonical Formp. 531
Solutions of Selected Exercisesp. 553
Indexp. 577
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780824792794
ISBN-10: 0824792793
Series: Pure and Applied Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 600
Published: 1st December 1994
Country of Publication: US
Dimensions (cm): 24.13 x 17.15  x 3.81
Weight (kg): 0.98
Edition Number: 2
Edition Type: New edition

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