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Author: Nigel Lesmoir-gordon Publisher: World Scientific ISBN: 1786344769 Category : Science Languages : en Pages : 125
Book Description
'The book is well-illustrated, earlier chapters with monochrome portraits of Mandelbrot, his family and those who influenced him, and later ones with striking colour pictures not only of the Mandelbrot set and other computer generated fractals, but also of ‘real’ fractals including cloud formations and rural and mountain scenes … This celebration of Mandelbrot’s scientific life is largely based on interviews that the author had with him when making films on his work … A challenge for historians of mathematics and science in coming years will be to produce a more broadly contextual and rounded account of the advent of fractals.'London Math SocietyThe time is right, following Benoît Mandelbrot's death in 2010, to publish this landmark book about the life and work of this maverick math genius.This compact book celebrates the life and achievements of Benoît Mandelbrot with the ideas of fractals presented in a way that can be understood by the interested lay-person. Mathematics is largely avoided. Instead, Mandelbrot's ideas and insights are described using a combination of intuition and pictures. The early part of the book is largely biographical, but it portrays well how Mandelbrot's life and ideas developed and led to the fractal notions that are surveyed in the latter parts of the book.
Author: Nigel Lesmoir-gordon Publisher: World Scientific ISBN: 1786344769 Category : Science Languages : en Pages : 125
Book Description
'The book is well-illustrated, earlier chapters with monochrome portraits of Mandelbrot, his family and those who influenced him, and later ones with striking colour pictures not only of the Mandelbrot set and other computer generated fractals, but also of ‘real’ fractals including cloud formations and rural and mountain scenes … This celebration of Mandelbrot’s scientific life is largely based on interviews that the author had with him when making films on his work … A challenge for historians of mathematics and science in coming years will be to produce a more broadly contextual and rounded account of the advent of fractals.'London Math SocietyThe time is right, following Benoît Mandelbrot's death in 2010, to publish this landmark book about the life and work of this maverick math genius.This compact book celebrates the life and achievements of Benoît Mandelbrot with the ideas of fractals presented in a way that can be understood by the interested lay-person. Mathematics is largely avoided. Instead, Mandelbrot's ideas and insights are described using a combination of intuition and pictures. The early part of the book is largely biographical, but it portrays well how Mandelbrot's life and ideas developed and led to the fractal notions that are surveyed in the latter parts of the book.
Author: Benoit Mandelbrot Publisher: Echo Point Books & Media, LLC ISBN: 9781648370410 Category : Languages : en Pages : 0
Book Description
Written in a style that is accessible to a wide audience, The Fractal Geometry of Nature inspired popular interest in this emerging field. Mandelbrot's unique style, and rich illustrations will inspire readers of all backgrounds.
Author: Michael Frame Publisher: World Scientific ISBN: 9811218471 Category : Young Adult Nonfiction Languages : en Pages : 468
Book Description
This book provides a collection of 44 simple computer and physical laboratory experiments, including some for an artist's studio and some for a kitchen, that illustrate the concepts of fractal geometry. In addition to standard topics — iterated function systems (IFS), fractal dimension computation, the Mandelbrot set — we explore data analysis by driven IFS, construction of four-dimensional fractals, basic multifractals, synchronization of chaotic processes, fractal finger paints, cooking fractals, videofeedback, and fractal networks of resistors and oscillators.
Author: Benoit Mandelbrot Publisher: Vintage ISBN: 030738991X Category : Biography & Autobiography Languages : en Pages : 362
Book Description
Here is the remarkable life story of Benoit Mandelbrot, the creator of fractal geometry, and his unparalleled contributions to science mathematics, the financial world, and the arts. Mandelbrot recounts his early years in Warsaw and in Paris, where he was mentored by an eminent mathematician uncle, through his days evading the Nazis in occupied France, to his education at Caltech, Princeton, and MIT, and his illustrious career at the IBM Thomas J. Watson Research Center. An outside to mainstream scientific research, he managed to do what others had thought impossible: develop a new geometry that combines revelatory beauty with a radical way of unfolding formerly hidden scientific laws. In the process he was able to use geometry to solve fresh, real-world problems. With exuberance and an eloquent fluency, Benoit Mandelbrot recounts the high points of his fascinating life, offering us a glimpse into the evolution of his extraordinary mind. With full-color inserts and black-and-white photographs throughout.
Author: Kenneth Falconer Publisher: OUP Oxford ISBN: 0191663441 Category : Mathematics Languages : en Pages : 153
Book Description
Many are familiar with the beauty and ubiquity of fractal forms within nature. Unlike the study of smooth forms such as spheres, fractal geometry describes more familiar shapes and patterns, such as the complex contours of coastlines, the outlines of clouds, and the branching of trees. In this Very Short Introduction, Kenneth Falconer looks at the roots of the 'fractal revolution' that occurred in mathematics in the 20th century, presents the 'new geometry' of fractals, explains the basic concepts, and explores the wide range of applications in science, and in aspects of economics. This is essential introductory reading for students of mathematics and science, and those interested in popular science and mathematics. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Author: Benoit Mandelbrot Publisher: Springer Science & Business Media ISBN: 1475740174 Category : Mathematics Languages : en Pages : 321
Book Description
Just 23 years ago Benoit Mandelbrot published his famous picture of the Mandelbrot set, but that picture has changed our view of the mathematical and physical universe. In this text, Mandelbrot offers 25 papers from the past 25 years, many related to the famous inkblot figure. Of historical interest are some early images of this fractal object produced with a crude dot-matrix printer. The text includes some items not previously published.
Author: Anant R. Shastri Publisher: CRC Press ISBN: 1439831637 Category : Mathematics Languages : en Pages : 319
Book Description
Derived from the author's course on the subject, Elements of Differential Topology explores the vast and elegant theories in topology developed by Morse, Thom, Smale, Whitney, Milnor, and others. It begins with differential and integral calculus, leads you through the intricacies of manifold theory, and concludes with discussions on algebraic topol
Author: Heinz-Otto Peitgen Publisher: Springer Science & Business Media ISBN: 3642617174 Category : Mathematics Languages : en Pages : 214
Book Description
Now approaching its tenth year, this hugely successful book presents an unusual attempt to publicise the field of Complex Dynamics. The text was originally conceived as a supplemented catalogue to the exhibition "Frontiers of Chaos", seen in Europe and the United States, and describes the context and meaning of these fascinating images. A total of 184 illustrations - including 88 full-colour pictures of Julia sets - are suggestive of a coffee-table book. However, the invited contributions which round off the book lend the text the required formality. Benoit Mandelbrot gives a very personal account, in his idiosyncratic self-centred style, of his discovery of the fractals named after him and Adrien Douady explains the solved and unsolved problems relating to this amusingly complex set.
Author: Benoit B. Mandelbrot Publisher: Profile Books ISBN: 1847651550 Category : Business & Economics Languages : en Pages : 352
Book Description
This international bestseller, which foreshadowed a market crash, explains why it could happen again if we don't act now. Fractal geometry is the mathematics of roughness: how to reduce the outline of a jagged leaf or static in a computer connection to a few simple mathematical properties. With his fractal tools, Mandelbrot has got to the bottom of how financial markets really work. He finds they have a shifting sense of time and wild behaviour that makes them volatile, dangerous - and beautiful. In his models, the complex gyrations of the FTSE 100 and exchange rates can be reduced to straightforward formulae that yield a much more accurate description of the risks involved.
Author: Nigel Lesmoir-gordon
Author: Nigel Lesmoir-gordon
Author: Nigel Lesmoir-Gordon
Author: Benoit Mandelbrot
Author: Michael Frame
Author: Benoit Mandelbrot
Author: Kenneth Falconer
Author: Benoit Mandelbrot
Author: Anant R. Shastri
Author: Heinz-Otto Peitgen
Author: Benoit B. Mandelbrot