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Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach, 5th edition

by John H Hubbard and Barbara Burke Hubbard

book cover, Vector Calculus John H. Hubbard and Barbara Burke Hubbard

ISBN 9780971576612

818 pages, Hardcover, smythe-sewn binding
8 x 10 inches, 2015, $98
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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)