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Preface to the Second Edition | ||
Preface to the First Edition | ||
Ch. 1 | Some Preliminaries | 1 |
Ch. 2 | Vector Spaces | 19 |
Ch. 3 | The Derivative | 55 |
Ch. 4 | The Structure of Vector Spaces | 95 |
Ch. 5 | Compact and Connected Sets | 133 |
Ch. 6 | The Chain Rule, Higher Derivatives, and Taylor's Theorem | 163 |
Ch. 7 | Linear Transformations and Matrices | 203 |
Ch. 8 | Maxima and Minima | 239 |
Ch. 9 | The Inverse and Implicit Function Theorems | 277 |
Ch. 10 | The Spectral Theorem | 303 |
Ch. 11 | Integration | 345 |
Ch. 12 | Iterated Integrals and the Fubini Theorem | 387 |
Ch. 13 | Line Integrals | 427 |
Ch. 14 | Surface Integrals | 461 |
Ch. 15 | Differential Forms | 487 |
Ch. 16 | Integration of Differential Forms | 509 |
Appendix 1. The Existence of Determinants | 527 | |
Appendix 2. Jordan Canonical Form | 531 | |
Solutions of Selected Exercises | 553 | |
Index | 577 |
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Add 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 to the inventory that you are selling on WonderClubX
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Add 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 to your collection on WonderClub |