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Numbers and Proofs Reg Allenby (School of Mathematics, University of Leeds, UK)

Numbers and Proofs By Reg Allenby (School of Mathematics, University of Leeds, UK)

Numbers and Proofs by Reg Allenby (School of Mathematics, University of Leeds, UK)


£15.10
New RRP £46.99
Condition - Good
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Summary

An introduction to the notion of proof, enabling the reader to decipher proofs as well as construct their own. Useful methods of proof are illustrated in the context of studying problems mainly concerning numbers (real, rational, complex and integers). There are exercises and worked examples.

Numbers and Proofs Summary

Numbers and Proofs by Reg Allenby (School of Mathematics, University of Leeds, UK)

'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.

Table of Contents

The need for proof * Statements and connectives * True or false? * Sets, negations, notations and functions * Proofs....for all * There exists....proofs * The principle of mathematical induction * The integers and rational numbers * The rational numbers and the real numbers * Real numbers and complex numbers * Guessing, analogy and transformation * Generalisation and specialisation * Fallacies and paradoxes * A mixed bag * Solutions appendix * Answers to exercises * References.

Additional information

GOR005076091
9780340676530
0340676531
Numbers and Proofs by Reg Allenby (School of Mathematics, University of Leeds, UK)
Used - Good
Paperback
Elsevier Science & Technology
19970926
288
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in good condition, but if you are not entirely satisfied please get in touch with us

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