{"product_id":"hypercomplex-iterations-yumei-dang-9789810232962","title":"Hypercomplex Iterations: Distance Estimation and Higher Dimensional Fractals (with CD Rom)","description":"This book is based on the authors' research on rendering images of higher dimensional fractals by a distance estimation technique. It is self-contained, giving a careful treatment of both the known techniques and the authors' new methods. The distance estimation technique was originally applied to Julia sets and the Mandelbrot set in the complex plane. It was justified, through the work of Douady and Hubbard, by deep results in complex analysis. In this book the authors generalise the distance estimation to quaternionic and other higher dimensional fractals, including fractals derived from iteration in the Cayley numbers (octonionic fractals). The generalization is justified by new geometric arguments that circumvent the need for complex analysis. This puts on a firm footing the authors' present work and the second author's earlier work with John Hart and Dan Sandin. The results of this book will be of great interest to mathematicians and computer scientists interested in fractals and computer graphics.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Yumei Dang, Louis H. Kauffman, Daniel Sandin\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 9810232969\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9789810232962\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e World Scientific Publishing Company\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/07\/2002\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 164\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.39lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.30h x 6.36w x 0.67d","brand":"Yumei Dang","offers":[{"title":"Hardcover","offer_id":44149463482623,"sku":"9789810232962","price":61.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_a28334ad-c534-4bbe-9193-830a314e3950.jpg?v=1688456859","url":"https:\/\/www.whiterainbookhouse.com\/products\/hypercomplex-iterations-yumei-dang-9789810232962","provider":"WR Book House","version":"1.0","type":"link"}