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Calculus in Vector Spaces, Second Edition, Revised Expanded, Vol. 189 Book

Calculus in Vector Spaces, Second Edition, Revised Expanded, Vol. 189
Calculus in Vector Spaces, Second Edition, Revised Expanded, Vol. 189, Calculus in Vector Spaces addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This second edition introduces, among other topics, the derivative as a linear transformation, presents li, Calculus in Vector Spaces, Second Edition, Revised Expanded, Vol. 189 has a rating of 5 stars
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Calculus in Vector Spaces, Second Edition, Revised Expanded, Vol. 189, Calculus in Vector Spaces addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This second edition introduces, among other topics, the derivative as a linear transformation, presents li, Calculus in Vector Spaces, Second Edition, Revised Expanded, Vol. 189
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  • Calculus in Vector Spaces, Second Edition, Revised Expanded, Vol. 189
  • Written by author Lawrence J. Corwin J
  • Published by Taylor & Francis, Inc., December 1994
  • Calculus in Vector Spaces addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This second edition introduces, among other topics, the derivative as a linear transformation, presents li
  • Calculus in Vector Spaces addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This second edition introduces, among other topics, the derivative as a linear transformation, presents li
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Preface to the Second Edition
Preface to the First Edition
Ch. 1Some Preliminaries1
Ch. 2Vector Spaces19
Ch. 3The Derivative55
Ch. 4The Structure of Vector Spaces95
Ch. 5Compact and Connected Sets133
Ch. 6The Chain Rule, Higher Derivatives, and Taylor's Theorem163
Ch. 7Linear Transformations and Matrices203
Ch. 8Maxima and Minima239
Ch. 9The Inverse and Implicit Function Theorems277
Ch. 10The Spectral Theorem303
Ch. 11Integration345
Ch. 12Iterated Integrals and the Fubini Theorem387
Ch. 13Line Integrals427
Ch. 14Surface Integrals461
Ch. 15Differential Forms487
Ch. 16Integration of Differential Forms509
Appendix 1. The Existence of Determinants527
Appendix 2. Jordan Canonical Form531
Solutions of Selected Exercises553
Index577


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Calculus in Vector Spaces, Second Edition, Revised Expanded, Vol. 189, Calculus in Vector Spaces addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This second edition introduces, among other topics, the derivative as a linear transformation, presents li, Calculus in Vector Spaces, Second Edition, Revised Expanded, Vol. 189

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Calculus in Vector Spaces, Second Edition, Revised Expanded, Vol. 189, Calculus in Vector Spaces addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This second edition introduces, among other topics, the derivative as a linear transformation, presents li, Calculus in Vector Spaces, Second Edition, Revised Expanded, Vol. 189

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Calculus in Vector Spaces, Second Edition, Revised Expanded, Vol. 189, Calculus in Vector Spaces addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This second edition introduces, among other topics, the derivative as a linear transformation, presents li, Calculus in Vector Spaces, Second Edition, Revised Expanded, Vol. 189

Calculus in Vector Spaces, Second Edition, Revised Expanded, Vol. 189

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