OTHER BOOKS ON THE SUBJECT OF PROOFS AND MATHEMATICAL WRITING The books included in this section represent a very small section of those in print at this time on the subjects of mathematical proofs and discrete mathematics. The reader can use these titles to start searching for others available on the market. Thanks to the ease of electronic searches, finding yet another book can be very inter- esting, informative, and entertaining. Most of the following books have parts that concentrate on logic and construction of proofs, and parts that introduce new mathematical concepts. Some of them are considered to be classics, while others are much more recent. Some are textbooks, and others offer supplemental reading material. 1. Barnier, W. and Feldman, N. Introduction to Advanced Mathematics. Prentice Hall, 2000. Read Chapters 1 and 2. 2. Bloch, E. D. Proofs and Fundamentals: A First Course in Abstract Mathematics. Springer, 2011. Read the first two chapters. 3. Chartrand, G., Polimeni A. D., and Zhang, P. Mathematical Proofs. A Transition to Advanced Mathematics. Addison-Wesley, 2nd edition, 2007. 4. Copi, I. M. Introduction to Logic. Prentice Hall, 1998. 5. D'Angelo, J. and West D. Mathematical Thinking: Problem-Solving and Proofs. Prentice Hall, 2nd Edition, 2000. Read Part 1. 6. Eccles, P. J. An Introduction to Mathematical Reasoning: Numbers, Sets and Functions. Cambridge University Press, 1998. 7. Enderton, H. A Mathematical Introduction to Logic. Academic Press, 2nd edition, 2001. 8. Exner, G. R. An Accompaniment to Higher Mathematics. Springer-Verlag Undergraduate Texts in Mathematics, 1996. 9. Franklin, J. and Dauod, A. Proof in Mathematics: An Introduction. Kew Books, 2011. 10. Garnier, R. and Taylor, J. 100% Mathematical Proof. John Wiley & Sons, 1996. 11. Gerstein, L. J. Introduction to Mathematical Structures and Proofs. Springer-Verlag, 1996. 12. Goodfriend, J. H. Gateway to Higher Mathematics. Jones & Bartlett Learning, 2005. 13. Hodel, R. E. An Introduction to Mathematical Logic. PWS Pub. Co., 1995. 14. Hermes, H. Introduction to Mathematical Logic. Springer-Verlag, 1973. Read Part I. 15. Houston, K. How to Think Like a Mathematician. Cambridge University Press, 2009. 16. Lucas, J. F. Introduction to Abstract Mathematics. Rowman & Littlefield Publishers, Inc., 2nd edition, 1990. 17. Morash, R. P. Bridge to Abstract Mathematics: Mathematical Proofs and Structures. McGraw Hill, College Division, 1991. Read Chapters 1 to 5. 18. Penner, R. C. Discrete Mathematics: Proof Techniques and Mathematical Structures. World Scientific Pub. Co., 1999. 19. Polya, G. How to Solve It: A New Aspect of Mathematical Methods. Ishi Press, 2009. 20. Rodgers, N. Learning to Reason: an Introduction to Logic, Sets and Relations. Wiley & Sons, 2000. Read the section "Writing Our Reasoning." 21. Rosenbloom, P. C. The Elements of Mathematical Logic. Dover Publications, 2005. 22. Rotman, J. J. A Journey into Mathematics: An Introduction to Proofs. Prentice Hall, 1997. 23. Schumacher, C. Chapter Zero. Fundamental Notions of Abstract Mathematics. Addison-Wesley Publishing Co., 2000. Read Chapters 1 and 2. 24. Schwartz, D. Conjecture & Proof: An Introduction to Mathematical Thinking. Saunders College Publishing, 1997. Read Chapters 2 and 3. 25. Solow, D. How to Read and Do Proofs. John Wiley & Sons, 2001. 278