Introduction to Mathematical Reasoning Numbers, Sets and Functions
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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.
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All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.
List price: $64.99
Copyright year: 1997
Publisher: Cambridge University Press
Publication date: 12/11/1997
Size: 6.00" wide x 9.00" long x 0.75" tall
|Mathematical Statements and Proofs|
|The language of mathematics|
|Proof by contradiction|
|The induction principle|
|Sets and Functions|
|The language of set theory|
|Injections, surjections and bijections|
|Numbers and Counting|
|Properties of finite sets|
|Counting functions and subsets|
|Counting infinite sets|
|The division theorem|
|The Euclidean algorithm|
|Consequences of the Euclidean algorithm|
|Linear diophantine equations|
|Congruences of integers|
|Congruence classes and the arithmetic of remainders|
|Partitions and equivalence relations|
|The sequence of prime numbers|
|Congruence modulo a prime|
|Solutions to exercises|