{"product_id":"curves-and-singularities-a-geometrical-introduction-to-singularity-theory-paperback-9780521429993","title":"Curves and Singularities; A Geometrical Introduction to Singularity Theory (Paperback) 9780521429993","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eCurves and Singularities\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eA Geometrical Introduction to Singularity Theory\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eThis second edition is an invaluable textbook for anyone who would like an introduction to the modern theories of catastrophies and singularities.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eJ. W. Bruce (Author), P. J. Giblin (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521429993, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 26 November 1992\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e340 pages\u003cbr\u003e22.9 x 15.3 x 2 cm, 0.545 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 delightfully written book overflows with beautiful mathematics, requiring only linear algebra, multi-variable calculus, and a little mathematical sophistication.\"   The American Mathematical Monthly\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe differential geometry of curves and surfaces in Euclidean space has fascinated mathematicians since the time of Newton. Here the authors cast the theory into a new light, that of singularity theory. This second edition has been thoroughly revised throughout and includes a multitude of new exercises and examples. A new final chapter has been added which covers recently developed techniques in the classification of functions of several variables, a subject central to many applications of singularity theory. Also in this second edition are new sections on the Morse lemma and the classification of plane curve singularities. The only prerequisites for students to follow this textbook are a familiarity with linear algebra and advanced calculus. Thus it will be invaluable for anyone who would like an introduction to modern singularity theory.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Introductory example: a gravitational catastrophe machine\u003cbr\u003e 2. Curves, and functions on them\u003cbr\u003e 3. More about functions\u003cbr\u003e 4. Regular values and smooth manifolds\u003cbr\u003e 5. Envelopes\u003cbr\u003e 6. Unfoldings\u003cbr\u003e 7. Unfoldings: applications\u003cbr\u003e 8. Transversality\u003cbr\u003e 9. Generic properties of curves\u003cbr\u003e 10. More on unfoldings\u003cbr\u003e 11. Singular points, several variables and generic surfaces\u003cbr\u003e Appendix: Null sets and Sard's theorem.\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":46004859404568,"sku":"9780521429993","price":50.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521429993i_e34c2e94-c12b-4a23-a119-5beac92def8c.jpg?v=1691381715","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/curves-and-singularities-a-geometrical-introduction-to-singularity-theory-paperback-9780521429993","provider":"Freshly Printed Books","version":"1.0","type":"link"}