The Nuts and Bolts of Proofs

The Nuts and Bolts of Proofs

Volumn , Issue , 2005, Pages

  Cupillari, Antonella ^a  

^a BEHREND COLLEGE   (United States)

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[No Author keywords available]

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EID: 85014210551     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-0-12-088509-1.X5000-4     Document Type: Book

References (44)

1. Barnier W., Feldman N. Introduction to Advanced Mathemtics 2000, Read Chapters 1 and 2, Prentice Hall.
2. Bloch E.D. Proofs and Fundamentals: A First Course in Abstract Mathematics 2000, Read the first three chapters, Birkhäuser, New York.
3. Chartrand G., Polimeni A.D., Zhang P. Mathematical Proofs: A Transition to Advanced Mathematics 2002, Addison-Wesley, Basel.
4. Copi I.M. Introduction to Logic 1998, Prentice Hall, Reading, MA.
5. D'Angelo J., West D. Mathematical Thinking: Problem-Solving and Proofs 2000, Read Part 1: Elementary Concepts, Prentice Hall, New York. 2nd ed.
6. Eccles P.J. An Introduction to Mathematical Reasoning: Numbers, Sets and Functions 1998, Cambridge University Press, New York.
7. Enderton H. A Mathematical Introduction to Logic 2000, Academic Press, Cambridge, U.K. 2nd ed.
8. Exner G.R. An Accompaniment to Higher Mathematics 1996, Undergraduate Texts in Mathematics, Springer-Verlag, San Diego, CA.
9. Franklin J., Dauod A. Proof in Mathematics: An Introduction 2001, Quakers Hill Press, Berlin/New York.
10. Garnier R., Taylor J. 100 % Mathematical Proof 1996, John Wiley & Sons, Sydney.
11. Hodel R.E. An Introduction to Mathematical Logic 1995, PWS-Kent, New York.
12. Hermes H. Introduction to Mathematical Logic 1972, Read Part I: Introduction, Springer-Verlag, Boston, MA.
13. Lucas J.F. Introduction to Abstract Mathematics 1990, Read Chapters 1 and 2, Ardsley House Publications, Berlin/New York.
14. Morash R.P. Bridge to Abstract Mathematics 1991, Read Chapters 1 to 5, McGraw Hill.
15. Penner R.C. Discrete Mathematics: Proof Techniques and Mathematical Structures 1999, World Scientific, New YOrk.
16. Polya G. How to Solve It 1988, Princeton University Press, Singapore.
17. Polya G. Mathematical Discovery 1962, John Wiley & Sons, Princeton, NJ.
18. Rodgers N. Learning To Reason: An Introduction to Logic, Sets and Relations 2000, Read the section "Writing Our Reasoning", John Wiley & Sons, New York.
19. Rotman J.J. A Journey into Mathematics: An Introduction to Proofs 1997, Prentice Hall, New York.
20. Schumacher C. Chapter Zero. Fundamental Notions of Abstract Mathematics 1996, Read Chapters 1 and 2, Addison-Wesley, New York.
21. Schwartz D. Conjecture and Proof: An Introduction to Mathematical Thinking 1997, Read Chapters 2 and 3, Saunders College Publishing, Reading, MA.
22. Solow D. How To Read and Do Proofs 1990, John Wiley & Sons, Philadelphia, PA.
23. Solow D. Reading, Writing and Doing Mathematical Proofs: Proof Techniques for Advanced Mathematics 1984, Dale Seymour Publications, New York.
24. Stolyar A.A. Introduction to Mathematical Logic 1984, Read the first two sections, Dover.
25. Suppes P. Introduction to Logic 1999, Chapter 7 is quite interesting, Dover, New York.
26. Velleman D.J. How To Prove It: A Structured Approach 1994, Cambridge University Press, New York.
27. Whitehead A.N. Introduction to Mathematics 1948, Oxford University Press, Cambridge, U.K.
28. Wickelgren W.A. How To Solve Problems 1995, Dover, London.
29. Wolfe R.S. Proof, Logic, Conjecture: The Mathematical Toolbox 1998, W. H. Freeman, New YOrk, Read Chapters 1 to 4.
30. Alley M. The Craft of Scientific Writing 1996, Springer-Verlag, New York.
31. Countryman J. Writing To Learn Mathematics 1992, Heinemann, Berlin/New York.
32. Gerver R. Writing Research Papers: Enrichment for Math Enthusiasts 1997, Key Curriculum Press, Portsmouth, NH.
33. Gillman L. Writing Mathematics Well 1987, Mathematical Association of America.
34. Higham N.J. Handbook of Writing for the Mathematical Sciences 1993, Society for Industrial and Applied Mathematics, Washington, D.C.
35. Knuth D.E., Larrabee T., Roberts P.M. Mathematical Writing 1989, Mathematical Association of America, Philadelphia, PA.
36. Levine A. Discovering Higher Mathematics: Four Habits of Highly Effective Mathematicians 2000, Academic Press, Washington, D.C.
37. Daepp U., Garkin P. Reading, Writing and Proving: A Closer Look at Mathematics 2003, Springer-Verlag, San Diego, CA.
38. Engel A. Problem Solving Strategies 1998, Springer-Verlag, Berlin/New York.
39. Larson L.C. Problem Solving Through Problems 1983, Springer-Verlag, Berlin/New York.
40. Lozansky E., Rousseau C. Winning Solutions. Problem Books in Mathematics 1996, Springer-Verlag, Berlin/New York.
41. Vakil R. A Mathematical Mosaic: Patterns and Problem Solving 1997, Brendan Kelly Publishing, Berlin/New York.
42. Williams K.S., Hardy K. The Red Book of Mathematical Problems 1996, Dover.
43. Williams K.S., Hardy K. The Green Book of Mathematical Problems 1997, Dover, New York.
44. Zeitz P. The Art and Craft of Problem Solving 1999, John Wiley & Sons, New York.