Introduction to Mathematical Reasoning Numbers, Sets and Functions

Name: Introduction to Mathematical Reasoning Numbers, Sets and Functions
Availability: InStock
ISBN: 9780521597180

ISBN-10: 0521597188

ISBN-13: 9780521597180

Edition: 1997

Authors: Peter J. Eccles

List price: $48.99

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Description:

The purpose of this book is to introduce the basic ideas of mathematical proof and reasoning to students starting university mathematics.

Book details

List price: $48.99
Copyright year: 1997
Publisher: Cambridge University Press
Publication date: 12/11/1997
Binding: Paperback
Pages: 361
Size: 6.02" wide x 8.98" long x 0.83" tall
Weight: 1.298
Language: English




Mathematical Statements and Proofs



The language of mathematics



Implications



Proofs



Proof by contradiction



The induction principle



Sets and Functions



The language of set theory



Quantifiers



Functions



Injections, surjections and bijections



Numbers and Counting



Counting



Properties of finite sets



Counting functions and subsets



Number systems



Counting infinite sets



Arithmetic



The division theorem



The Euclidean algorithm



Consequences of the Euclidean algorithm



Linear diophantine equations



Modular Arithmetic



Congruences of integers



Linear congruences



Congruence classes and the arithmetic of remainders



Partitions and equivalence relations



Prime Numbers



The sequence of prime numbers



Congruence modulo a prime


Solutions to exercises