文档介绍：Instructors’ Solution Manual
Vector Calculus, Linear Algebra, and Di
erential Forms:
A Uni
ed Approach
Second Edition
John H. Hubbard and Barbara Burke
Revised Version, July 2003
c John H. Hubbard and Barbara Burke Hubbard
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Note to Instructors
This version of the Instructors’ Solution Manual replaces one available during the 2001–2002
academic year; some corrections have been made and several solutions added. Please write us at
******@ ments or corrections.
If you would like to be noti
ed by e-mail when errata are discovered in the textbook and the
solution manual, please write Barbara Hubbard at hubbard@ with “errata lists”
as the subject. Please indicate how you wish to be addressed (Professor, Dr., Mr., Ms., Miss, ... ).
A student version of the solution manual contains solutions to all odd-numbered problems in Chap-
ters 0–6 and many from Appendix A. It is published by Matrix Editions ().
To avoid confusion with numbers in the text, in the rare cases where we state new propositions
or lemmas in the solutions, we number them consecutively throughout the chapter.
In a number of solutions we mention mistakes in the text, referring to “the
rst printing.”(For
example, see Solution .) As of July, 2003, there is no second printing; we use that terminology
so that this manual can be used for subsequent printings as well.
Thanks
We would like to thank the many people who contributed to this manual, by contributing solutions
or pointing out errors: Adam Barth, Nils Barth, Ryan Budney, Walter Chang, Robert Ghrist, Dion
Kane Harmon, Chris Hruska, Alexander Hubbard, Chase Million, Alex Nemiroski, Richard Palas,
Robert Piche, David Schoonover, Scott Seliko
, Ted Shifrin, and James Versyp. Our apologies to
anyone whose name was inadvertently omitted.
We would be delighted to accept contributions of solutions for unsolved exercises.
John H. Hubbard and Barbara Burke Hubbard
Ithaca, ., July, 2003
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