{"product_id":"elementary-geometry-of-algebraic-curves-an-undergraduate-introduction-hardback-9780521641401","title":"Elementary Geometry of Algebraic Curves; An Undergraduate Introduction (Hardback) 9780521641401","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eElementary Geometry of Algebraic Curves\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eAn Undergraduate Introduction\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eThis is a genuine introduction to plane algebraic curves from a geometric viewpoint.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eC. G. Gibson (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521641401, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 26 November 1998\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e268 pages, 75 b\/w illus.  12 tables\u003cbr\u003e23.6 x 15.6 x 2 cm, 0.49 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\"This book amply fulfills the promise of its title...far less forbidding than the vast majority of more ambitious textbooks...the author clearly motivates the study of projective curves by showing that several affine problems are more easily studied via the projective setting...a good abstract introduction for mathematicians.\"   Theory of Computation\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis is a genuine introduction to plane algebraic curves from a geometric viewpoint, designed as a first text for undergraduates in mathematics, or for postgraduate and research workers in the engineering and physical sciences. The book contains several hundred worked examples and exercises, making it suitable for adoption as a course text. From the lines and conics of elementary geometry the reader proceeds to general curves in the real affine plane, with excursions to more general fields to illustrate applications, such as number theory. By adding points at infinity the affine plane is extended to the projective plane, yielding a natural setting for curves and providing a flood of illumination into the underlying geometry. A minimal amount of algebra leads to the famous theorem of Bezout, whilst the ideas of linear systems are used to discuss the classical group structure on the cubic.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eList of illustrations\u003cbr\u003e List of tables\u003cbr\u003e Preface\u003cbr\u003e 1. Real algebraic curves\u003cbr\u003e 2. General ground fields\u003cbr\u003e 3. Polynomial algebra\u003cbr\u003e 4. Affine equivalence\u003cbr\u003e 5. Affine conics\u003cbr\u003e 6. Singularities of affine curves\u003cbr\u003e 7. Tangents to affine curves\u003cbr\u003e 8. Rational affine curves\u003cbr\u003e 9. Projective algebraic curves\u003cbr\u003e 10. Singularities of projective curves\u003cbr\u003e 11. Projective equivalence\u003cbr\u003e 12. Projective tangents\u003cbr\u003e 13. Flexes\u003cbr\u003e 14. Intersections of projective curves\u003cbr\u003e 15. Projective cubics\u003cbr\u003e 16. Linear systems\u003cbr\u003e 17. The group structure on a cubic\u003cbr\u003e 18. Rational projective curves\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Geometry [\u003ca title=\"See our other books on Geometry\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Geometry%20%5BPBM%5D%22\"\u003ePBM\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":46129363452184,"sku":"9780521641401","price":102.38,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521641401i.jpg?v=1691666733","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/elementary-geometry-of-algebraic-curves-an-undergraduate-introduction-hardback-9780521641401","provider":"Freshly Printed Books","version":"1.0","type":"link"}