A Gateway to Abstract Mathematics
A Gateway to Abstract Mathematics
E. A. Maxwell
November 2008
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Paperback
9780521090285
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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.
Product details
November 2008Paperback
9780521090285
140 pages
203 × 127 × 8 mm
0.16kg
Available
Table of Contents
- Preface
- Introduction
- 1. Digital arithmetic
- 2. Polynomials in digital arithmetic
- 3. The idea of a group
- 4. A group of 'product' operations in geometry
- 5. Groups within groups
- 6. Group structure on a circle
- 7. An abstract structure for angles
- 8. A very abstract algebra for angles
- 9. Some metrical analogies
- Answers
- Index.
