Matrix
Editionsserious mathematics,
written with the reader in mind
Matrix
Editions
serious mathematics,
written with the reader in mind
ISBN-13: 978-0-9715766-1-2
640 pages, published in 2006
Reprinted with corrections 2023
Hardcover, smythe-sewn binding
ISBN 9780971576612
Note: you will not be able to print the ebook. Please read this before ordering.
Click below to see the table of contents, and (in pdf only) the beginning pages of chapters 1-6, two pages from later in chapters 1-6, beginning pages of each appendix, and the last two pages of appendix D
(solutions to odd-numbered exercises).
These pages are all copyrighted. If you find it unpleasant to read them online, you are welcome to print one copy for your use. For other uses,
please email Barbara Burke Hubbard or fax (815) 642-0504 to inquire about permission.
Table
of contents (in pdf)
Table
of contents (in html)
Chapter
0 (Three important inequalities): first 3 pages
Chapter
1 (Metric and topological spaces): first 4 pages
Chapter
1: pages 88-89 (compactness)
Chapter
2 (Normed spaces and topological vector spaces): first 4 pages
Chapter
2: pages 165-166 (Banach spaces)
Chapter
3 (Operators on normed spaces):
first 4 pages
Chapter
3: pages 243-244 (Banach-Steinhaus theorem)
Chapter
4 (Inner product spaces): first 4 pages
Chapter
4: pages 329-330 (Hilbert spaces)
Chapter
5 (The Banach space C(X)): first 4 pages
Chapter
5, pages 398-399 (Stone-Weierstrass theorem)
Chapter
6 (Additional topics): first 4 pages
Chapter
6: pages 445-446 (fixed point theorem for integral equations)
Appendix
A (Set theory and functions): first 4 pages
Appendix B
(Mostly linear algebra): first 4 pages
Appendix C
(Some technical results): first page
Appendix
D (Solutions to odd exercises): first 2 pages
Appendix
D (Solutions to odd exercises): last 2 pages