Numbers and Proofs

By: Allenby, R.B.J.TMaterial type: TextTextPublication details: London : Arnold ; 1997Description: x, 274 pages : illustrationsISBN: 9780340676530; 0340676531 Subject(s): Proof theoryDDC classification: 512.7
Contents:
The need for proof -- Statements and connectives -- True of false? -- Sets, negations, notations and functions -- Proofs ... for all -- There exist ... proofs -- Principle of mathematical induction -- The integers and the rational numbers -- The rational numbers and the real numbers -- The real numbers and the complex numbers -- Guessing, analogy and transformation -- Generalization and specialization -- Fallacies and paradoxes -- and mistakes -- A mixed bag -- Hints/answers to the exercises.
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.
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Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
Reference Books Reference Books Main Library
Reference 		Permanent Reference 512.7 ALL (Browse shelf(Opens below)) Available 008578
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Includes Index

The need for proof --
Statements and connectives --
True of false? --
Sets, negations, notations and functions --
Proofs ... for all --
There exist ... proofs --
Principle of mathematical induction --
The integers and the rational numbers --
The rational numbers and the real numbers --
The real numbers and the complex numbers --
Guessing, analogy and transformation --
Generalization and specialization --
Fallacies and paradoxes --
and mistakes --
A mixed bag --
Hints/answers to the exercises.

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.

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