Gateway to Abstract Mathematics

Name: Gateway to Abstract Mathematics
Price: 51.32 USD
Availability: InStock
ISBN: 9780521090285

ISBN-10: 0521090288

ISBN-13: 9780521090285

Edition: 2008

Authors: E. A. Maxwell

List price: $51.99

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Description:

Dr Maxwell has written this short book to introduce students (and teachers) to the ideas involved in abstract mathematics. In his preface he states, 'I have often felt that the present plunge into abstraction is too sudden and that there is a need for more elementary work to make the immersion less exhausting.' Dr Maxwell does this by taking various topics from elementary mathematics, and showing what happens when the rules are altered in quite simple ways. He first discusses digital arithmetic, then introduces the idea of a group and illustrates some properties of groups by examples from algebra and geometry.

Book details

List price: $51.99
Copyright year: 2008
Publisher: Cambridge University Press
Publication date: 11/20/2008
Binding: Paperback
Pages: 140
Size: 5.00" wide x 7.99" long x 0.31" tall
Weight: 0.352
Language: English



Preface


Introduction



Digital arithmetic



Polynomials in digital arithmetic



The idea of a group



A group of 'product' operations in geometry



Groups within groups



Group structure on a circle



An abstract structure for angles



A very abstract algebra for angles



Some metrical analogies


Answers


Index