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

174 The Nuts and Bolts of Proof, Third Edition
Franklin, J. and Dauod, A., Proof in Mathematics: An Introduction. Quakers
Hill Press, Sydney, 2001.
Gamier, R. and Taylor, J., 100% Mathematical Proof, John Wiley & Sons,
New York, 1996.
Hodel, R. E., An Introduction to Mathematical Lygic, PWS-Kent, Boston,
MA, 1995.
Hermes, H., Introduction to Mathematical logic, Springer-Verlag,
Berlin/New York, 1973. (Read Part I: Introduction.)
Lucas, J. F., Introduction to Abstract Mathematics, Ardsley House
Publications, 1990. (Read Chapters 1 and 2.)
Morash, R. P., Bridge to Abstract Mathematics, McGraw Hill, New York,
1991. (Read Chapters 1 to 5.)
Penner, R. C, Discrete Mathematics: Proof Techniques and Mathematical
Structures, World Scientific, Singapore, 1999.
Polya, G., How To Solve It, Princeton University Press, Princeton, NJ,
1988.
Polya, G., Mathematical Discovery, John Wiley & Sons, New York, 1962.
Rodgers, N., learning To Reason: An Introduction to logic. Sets and
Relations, John Wiley & Sons, New York, 2000. (Read the section
"Writing Our Reasoning.")
Rotman, J. J., A Journey into Mathematics: An Introduction to Proofs,
Prentice Hall, New York, 1997.
Schumacher, C, Chapter Zero. Fundamental Notions of Abstract
Mathematics, Addison-Wesley, Reading, MA, 1996. (Read Chapters 1
and 2.)
Schwartz, D., Conjecture and Proof: An Introduction to Mathematical
Thinking, Saunders College Pubhshing, Philadelphia, PA, 1997. (Read
Chapters 2 and 3.)
Solow, D., How To Read and Do Proofs, John Wiley & Sons, New York,
1990.
Solow, D., Reading, Writing and Doing Mathematical Proofs: Proof
Techniques for Advanced Mathematics, Dale Seymour Publications, 1984.
Stolyar, A. A., Introduction to Mathematical logic, Dover, New York, 1984.
(Read the first two sections.)
Suppes, P., Introduction to logic. Dover, New York, 1999. (Chapter 7 is quite
interesting.)
Yelleman, D. J., How To Prove It: A Structured Approach, Cambridge
University Press, Cambridge, U.K., 1994.
Whitehead, A. N., Introduction to Mathematics, Oxford University
Press, London, 1948.
Wickelgren, W. A., How To Solve Problems, Dover, New York, 1995.
Wolfe, R. S., Proof, logic, Conjecture: The Mathematical Toolbox,
W. H. Freeman, New York, 1998. (Read Chapters 1 to 4.)