Articoli correlati a A Gateway to Abstract Mathematics

A Gateway to Abstract Mathematics - Brossura

Maxwell, E. A.

 
9780521090285: A Gateway to Abstract Mathematics

Sinossi

Dr Maxwell has written this short book to introduce students (and teachers) to the ideas involved in abstract mathematics.

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Descrizione del libro

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.

Contenuti

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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