Numbers and Proofs
Copublished in North, South, and Central America by John Wiley & Sons Inc. (1997)
| Abstract | 'Numbers and Proofs' presents a gentle introduction to the notion of proof to give the reader an understanding of how to decipher others' proofs as well as construct their own. Useful methods of proof are illustrated in the context of studying problems concerning mainly numbers (real, rational, complex and integers). An indispensable guide to all students of mathematics. Each proof is preceded by a discussion which is intended to show the reader the kind of thoughts they might have before any attempt proof is made. Established proofs which the student is in a better position to follow then follow. Presented in the author's entertaining and informal style, and written to reflect the changing profile of students entering universities, this book will prove essential reading for all seeking an introduction to the notion of proof as well as giving a definitive guide to the more common forms. Stressing the importance of backing up "truths" found through experimentation, with logically sound and watertight arguments, it provides an ideal bridge to more complex undergraduate maths. | |||||||||
| Keywords | Proof theory | |||||||||
| Categories | No categories specified (fix it) | |||||||||
| Buy the book | $49.07 new (25% off) $49.07 direct from Amazon (25% off) Amazon page | |||||||||
| Call number | QA9.54.A55 1997 | |||||||||
| ISBN(s) | 0340676531 | |||||||||
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Konstantine Arkoudas & Selmer Bringsjord (2007). Computers, Justification, and Mathematical Knowledge. Minds and Machines 17 (2).
Bernhard Weiss (1997). Proof and Canonical Proof. Synthese 113 (2):265-284.
James Franklin (1996). Proof in Mathematics: An Introduction. Quakers Hill Press.
Andrew Aberdein (2006). Proofs and Rebuttals: Applying Stephen Toulmin's Layout of Arguments to Mathematical Proof. In Marta Bílková & Ondřej Tomala (eds.), The Logica Yearbook 2005. Filosofia.
Mateja Jamnik, Alan Bundy & Ian Green (1999). On Automating Diagrammatic Proofs of Arithmetic Arguments. Journal of Logic, Language and Information 8 (3):297-321.
Peter J. Eccles (1997). An Introduction to Mathematical Reasoning: Lectures on Numbers, Sets, and Functions. Cambridge University Press.
Carlo Cellucci (2008). Why Proof? What is a Proof? In Giovanna Corsi & Rossella Lupacchini (eds.), Deduction, Computation, Experiment. Exploring the Effectiveness of Proof, pp. 1-27. Springer.
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