{"product_id":"the-mandelbrot-set-theme-and-variations-paperback-9780521774765","title":"The Mandelbrot Set, Theme and Variations (Paperback) 9780521774765","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThe Mandelbrot Set, Theme and Variations\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eSystematic exposition of current knowledge about the Mandelbrot set, discussing the latest research and results.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eTan Lei (Edited by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521774765, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 13 April 2000\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e388 pages, 61 b\/w illus.\u003cbr\u003e23 x 15.3 x 2.2 cm, 0.525 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… should be studied in depth by any potential worker in this field. This book should remain popular for many years to come.' The Mathematical Gazette\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe Mandelbrot set is a fractal shape that classifies the dynamics of quadratic polynomials. It has a remarkably rich geometric and combinatorial structure. This volume provides a systematic exposition of current knowledge about the Mandelbrot set and presents the latest research in complex dynamics. Topics discussed include the universality and the local connectivity of the Mandelbrot set, parabolic bifurcations, critical circle homeomorphisms, absolutely continuous invariant measures and matings of polynomials, along with the geometry, dimension and local connectivity of Julia sets. In addition to presenting new work, this collection documents important results hitherto unpublished or difficult to find in the literature. This book will be of interest to graduate students in mathematics, physics and mathematical biology, as well as researchers in dynamical systems and Kleinian groups.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eIntroduction L.Tan\u003cbr\u003e Preface J. Hubbard\u003cbr\u003e 1. The Mandelbrot set is universal C. McMullen\u003cbr\u003e 2. Baby Mandelbrot sets are born in cauliflowers A. Douady, X. Buff, R. Devaney and P. Sentenac\u003cbr\u003e 3. Modulation dans l'ensemble de Mandelbrot P. Haïssinsky\u003cbr\u003e 4. Local connectivity of Julia sets: expository lectures J. Milnor\u003cbr\u003e 5. Holomorphic motions and puzzles (following M. Shishikura) P. Roesch\u003cbr\u003e 6. Local properties of the Mandelbrot set at parabolic points L.Tan\u003cbr\u003e 7. Convergence of rational rays in parameter spaces C. Petersen and G. Ryd\u003cbr\u003e 8. Bounded recurrence of critical points and Jakobson's Theorem S. Luzzatto\u003cbr\u003e 9. The Herman–Swiatek theorems with applications C. Petersen\u003cbr\u003e 10. Perturbations d'une fonction linéarisable H. Jellouli\u003cbr\u003e 11. Indice holomorphe et multiplicateur H. Jellouli\u003cbr\u003e 12. An alternative proof of Mañé's theorem on non-expanding Julia sets M. Shishikura and L.Tan\u003cbr\u003e 13. Geometry and dimension of Julia sets Y. -C. Yin\u003cbr\u003e 14. On a theorem of Mary Rees for the matings of polynomials M. Shishikura\u003cbr\u003e 15. Le théorème d'intégrabilité des structures presque complexes A. Douady and X. Buff\u003cbr\u003e 16. Bifurcation of parabolic fixed points M. Shishikura.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Probability \u0026amp; statistics [\u003ca title=\"See our other books on Probability \u0026amp; statistics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Probability%20\u0026amp;%20statistics%20%5BPBT%5D%22\"\u003ePBT\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":46265070616856,"sku":"9780521774765","price":83.79,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521774765i.jpg?v=1692019202","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/the-mandelbrot-set-theme-and-variations-paperback-9780521774765","provider":"Freshly Printed Books","version":"1.0","type":"link"}