epdf.pub_the-nuts-and-bolts-of-proofs-third-edition-an-intr

Other Books on the Subject of Proofs and Mathematical Writing 175
An interesting and useful book for a quick review of mathematical
terms is the well-known Mathematics Dictionary by Glenn James and
Robert C. James (Chapman & Hall, 1992).
A book that goes to the roots of mathematical words is Vie Words
of Mathematics: An Etymological Dictionary of Mathematical Terms Used
in English, by Steven Schwartzman (The Mathematical Association of
America, 1994).
The following books offer suggestions on writing mathematical material:
Alley, M., The Craft of Scientific Writing, Springer-Verlag, Berlin/New York,
1996.
Countryman, J., Writing To l£arn Mathematics, Heinemann, Portsmouth,
NH, 1992.
Gerver, R., Writing Research Papers: Enrichment for Math Enthusiasts,
Key Curriculum Press, 1997.
Gillman, L., Writing Mathematics Well, Mathematical Association of
America, Washington, D.C., 1987.
Higham, N. J., Handbook of Writing for the Mathematical Sciences, Society
for Industrial and Applied Mathematics, Philadelphia, PA, 1993.
Knuth, D. E., Larrabee, T., and Roberts, P. M., Mathematical Writing,
Mathematical Association of America, Washington, D.C., 1989.
Levine, A., Discovering Higher Mathematics: Four Habits of Highly Effective
Mathematicians, Academic Press, San Diego, CA, 2000. (This is a book
that focuses on the processes of experimentation, conjecture, proof, and
generalization, by using material form number theory, discrete mathematics,
and combinatorics. The author also addresses some issues in
writing mathematics.)
A multitude of books are available on how to use the tools of logic to solve
problems. Here is a brief (and thus incomplete) hst of them:
Daepp, U. and Garkin, P., Reading, Writing and Proving: A Closer look at
Mathematics, Springer-Verlag, Beriin/New York, 2003.
Engel, A., Problem Solving Strategies, Springer-Verlag, Berlin/New York,
1998.
Larson, L.C., Problem Solving Through Problems, Springer-Verlag,
Berlin/New York, 1983.
Lozansky, E. and Rousseau, C, Winning Solutions, Problem Books in
Mathematics, Springer-Verlag, Berhn/New York, 1996.
Vakil, R., A Mathematical Mosaic: Patterns and Problem Solving,
Brendan Kelly PubUshing, 1997.