Textbooks and References
Discrete Mathematics with Applications (3rd Ed.) by Susanna S. Epp
PWS Publishing, 2004, ISBN 0-534-35945-0
The 3rd edition is very new, so it still contains mistakes.
Known mistakes are listed in the
How to Study Mathematics (Effective Study Strategies for College and University
Students) by Peter Schiavone
Prentice Hall, ISBN 0-13-906108-8
These books are all accessible to the layman. They have varying degrees of
relevancy to the course, but they are all good (and inexpensive).
All are available in paperback.
An excellent introduction to logic, metamathematics and Godel's
Incompleteness Theorem, for the layman by one of the leading researchers
in artificial intelligence. Read it!
Godel, Escher, Bach: An Eternal Golden Braid, by Douglas R. Hofstadter
Random House, ISBN 0-394-74502-7
The story of a 350 year quest to solve the "Holy Grail of mathematics",
Fermat's last theorem.
This is a fascinating book that also gives a good overview of the history
of number theory (and mathematics) from the greeks to now.
This book does not require much mathematical knowledge and strangely enough
is very easy to read and very hard to put down.
Fermat's Enigma, by Simon Singh
Penguin Books, ISBN 014-02-68693
Simon Singh's second book is as fascinating as the first one and focuses
on a mathematical topic of special interest to computer scientists,
cryptography. It gives a history of the science of codes,
a never-ending battle between code makers and code breakers (the code
makers currently have the upper hand, but you never know...)
The chapters on the Enigma machine, a mechanical encryption device used
by the Germans in the second world war and broken by the British towards
the middle of the war is spellbinding.
The Code Book, by Simon Singh
How complex systems evolve from simple situations.
Complexification by John L. Casti
Harper Collins, ISBN 0-06-016888-9
Nothing to do with mathematics (well, it was written by a mathematician),
but interesting stuff.
Paradigms Lost by John L. Casti
Avon, ISBN 0-380-71165-6
Some fun mathematics, including non-Euclidean geometry, cryptography and fractals.
The Nature and Power of Mathematics by Donald M. Davis
Princeton University Press, ISBN 0-691-08783-0
A good concise history of mathematics.
Makers of Mathematics by Stuart Hollingdale
This page is maintained by Peter Danziger.
Sunday, 26-Dec-2004 15:59:34 EST