Matrix
Editions
serious mathematics,
written with the reader in mind
John H. Hubbard and Barbara Burke Hubbard
818 pages, Hardcover, smythe-sewn binding
8 x 10 inches, 2015, $98
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Preface
Table of contents
Chapter
0 (Preliminaries) first 4 pages
Chapter
0: pages 22-23 (infinite sets)
Chapter
1 (Vectors, matrices, and derivatives) first 4 pages
Chapter
1: pages 145-147 (criteria for differentiability)
Review
exercises for chapter 1
Chapter
2 (Solving equations) first 4 pages
Chapter
2: pages 219-221 (eigenvectors and eigenvalues)
Chapter
2: pages 242-243
(Kantorovich's theorem)
Review
exercises for chapter 2
Chapter
3 (Manifolds, Taylor polynomials, quadratic forms, and curvature):
first 4 pages
Chapter
3: pages 349-350 (constrained critical points)
Review
exercises for chapter 3
Chapter
4 (Integration): first 4 pages
Chapter
4: pages 498-499 (Lebesgue integration)
Review
exercises for chapter 4
Chapter
5 (Volumes of manifolds): first 4 pages
Review
exercises for chapter 5
Chapter
6 (Forms and vector calculus): first 4 pages
Chapter
6: pages 645-646 (the generalized Stokes's theorem)
Review
exercises for chapter 6
Appendix: pages 704-706 (Arithmetic of real numbers)