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, $94

Return to main page for this book

Files are in pdf. These pages are copyrighted. You are welcome to print one copy for your use.

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)