Vector Calculus, Linear Algebra, and Differential Forms:
A Unified Approach
Second edition, ISBN 0-13-041408-5, © Prentice Hall, 2002 John H. Hubbard, professor of mathematics, Cornell University and the University of Provence
Barbara Burke Hubbard, winner of the prix d'Alembert for her book, The World According to Wavelets: the story of a mathematical technique in the making
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Student Solution Manual
The Student Solution Manual contains detailed solutions to all odd-numbered exercises in Chapters 0-6 and to many in the Appendix. See sample solutions.
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What makes this book different?
This text covers most of the standard topics in multivariate calculus and a substantial part of a standard first course in linear algebra. If, in addition, one teaches the proofs in Appendix A, the book can be used as a textbook for a course in analysis.The organization and selection of material differs from the standard approach in four ways.
Instructors' Solution Manual
|A revised version of the instructor's solution manual, incorporating corrections and some new solutions, is now available from Prentice Hall .|
If your are taking your first serious math course and don't have the book, you may find several brief excerpts useful; they are from Chapter 0: Preliminaries. They are in pdf format and can be read using Acrobat Reader.
The first discusses how to read mathematics. (Many students who never read their math texts in high school discover this doesn't work in college.)
The second explains why ``all eleven-legged alligators are orange with blue stripes'' is a true statement, as is ``all eleven-legged alligators are black with white stripes.''
The third gives the vocabulary of set theory (and a nice picture of Bertrand Russell shaving his image in the mirror.)
If you find an error in the text, please write firstname.lastname@example.org with ``second edition errata'' as the subject. The errata list for the second edition was updated on June 7, 2003. Lists are available at
If you would like to be notified by e-mail when new errata are posted, please write Barbara Hubbard at hubbard@MatrixEditions.com.
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Links for John Hubbard
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Last updated August 24, 2003