{"product_id":"a-gateway-to-abstract-mathematics-paperback-9780521090285","title":"A Gateway to Abstract Mathematics (Paperback \/ softback) 9780521090285","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eA Gateway to Abstract Mathematics\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eDr Maxwell has written this short book to introduce students (and teachers) to the ideas involved in abstract mathematics.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eE. A. Maxwell (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521090285, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 20 November 2008\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e140 pages\u003cbr\u003e20.3 x 12.7 x 0.8 cm, 0.16 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eDr 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e Introduction\u003cbr\u003e 1. Digital arithmetic\u003cbr\u003e 2. Polynomials in digital arithmetic\u003cbr\u003e 3. The idea of a group\u003cbr\u003e 4. A group of 'product' operations in geometry\u003cbr\u003e 5. Groups within groups\u003cbr\u003e 6. Group structure on a circle\u003cbr\u003e 7. An abstract structure for angles\u003cbr\u003e 8. A very abstract algebra for angles\u003cbr\u003e 9. Some metrical analogies\u003cbr\u003e Answers\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46006374236440,"sku":"9780521090285","price":36.19,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521090285i.jpg?v=1694969505","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/a-gateway-to-abstract-mathematics-paperback-9780521090285","provider":"Freshly Printed Books","version":"1.0","type":"link"}