Description

Book Synopsis
Dr Maxwell has written this short book to introduce students (and teachers) to the ideas involved in abstract mathematics. He first discusses digital arithmetic, then introduces the idea of a group and illustrates some properties of groups by examples from algebra and geometry.

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.

A Gateway to Abstract Mathematics

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    A Paperback by E. A. Maxwell

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      View other formats and editions of A Gateway to Abstract Mathematics by E. A. Maxwell

      Publisher: Cambridge University Press
      Publication Date: 11/20/2008 12:00:00 AM
      ISBN13: 9780521090285, 978-0521090285
      ISBN10: 0521090288

      Description

      Book Synopsis
      Dr Maxwell has written this short book to introduce students (and teachers) to the ideas involved in abstract mathematics. He first discusses digital arithmetic, then introduces the idea of a group and illustrates some properties of groups by examples from algebra and geometry.

      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.

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