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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: 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: 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: Nigel Lesmoir-Gordon Publisher: Springer Science & Business Media ISBN: 1849964866 Category : Mathematics Languages : en Pages : 218
Book Description
A geometry able to include mountains and clouds now exists. I put it together in 1975, but of course it incorporates numerous pieces that have been around for a very long time. Like everything in science, this new geometry has very, very deep and long roots. Benoît B. Mandelbrot Introduction This enhanced and expanded edition of THE COLOURS OF INFINITY features an additional chapter on the money markets by the fractal master himself, Professor Benoît Mandelbrot. The DVD of the film associated with this book has been re-mastered especially for this edition with exquisite new fractal animations, which will take your breath away! Driven by the curious enthusiasm that engulfs many fractalistas, in 1994, Nigel Lesmoir-Gordon overcame enormous obstacles to raise the finance for, then shoot and edit the groundbreaking TV documentary from which this book takes its name. The film has been transmitted on TV channels in over fifty countries around the world. This book is not just a celebration of the discovery of the Mandelbrot set, it also brings fractal geometry up to date with a gathering of the thoughts and enthusiasms of the foremost writers and researchers in the field. As Ian Stewart makes clear in the opening chapter, there were antecedents for fractal geometry before 1975 when Mandelbrot gave the subject its name and began to develop the underlying theory.
Author: Hubert Damisch Publisher: Stanford University Press ISBN: 9780804734400 Category : Art Languages : en Pages : 340
Book Description
This is the first in a series of books in which one of the most influential of contemporary art theorists revised from within the conceptions underlying the history of art. The authors basic idea is that the rigor of linear perspective cannot encompass all of visual experience and that it could be said to generate an oppositional factor with which it interacts dialectically: the cloud. On a literal level, this could be represented by the absence of the sky, as in Brunelleschis legendary first experiments with panels using perspective. Or it could be the vaporous swathes that Correggio uses to mediate between the viewer on earth and the heavenly prospect in his frescoed domes at Parma. Insofar as the cloud is a semiotic operator, interacting with the linear order of perspective, it also becomes a dynamic agent facilitating the creation of new types of pictorial space. (Damisch puts the signifer cloud between slashes to indicate that he deals with clouds as signs instead of realistic elements.) This way of looking at the history of painting is especially fruitful for the Renaissance and Baroque periods, but it is also valuable for looking at such junctures as the nineteenth century. For example, Damisch invokes Ruskin and Turner, who carry out both in theory and in practice a revision of the conditions of appearances of the cloud as a landscape feature. Even for the twentieth century, he has illuminating things to say about how his reading of cloud applies to the painters Leger and Batthus. In short, Damisch achieves a brilliant and systematic demonstration of a concept of semiotic interaction that touches some of the most crucial features of the Western art tradition.
Author: Myke Johnson Publisher: Lulu.com ISBN: 1365566862 Category : Nature Languages : en Pages : 181
Book Description
In this time of ecological crisis, all that is holy calls us into a more intimate partnership with the diverse and beautiful beings of this earth. In Finding Our Way Home, Myke Johnson reflects on her personal journey into such a partnership and offers a guide for others to begin this path. Lyrically expressed, it weaves together lessons from a chamomile flower, a small bird, a copper beech tree, a garden slug, and a forest fern, along with insights from Indigenous philosophy, environmental science, fractal geometry, childhood Catholic mysticism, the prophet Elijah, fairy tales, and permaculture design. This eco-spiritual journey also wrestles with the history of our society's destruction of the natural world, and its roots in the original theft of the land from Indigenous peoples. Exploring the spiritual dimensions of our brokenness, it offers tools to create healing. Finding Our Way Home is a ceremony to remember our essential unity with all of life.
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: William S. Yackinous Publisher: Academic Press ISBN: 0128020636 Category : Science Languages : en Pages : 435
Book Description
Understanding Complex Ecosystem Dynamics: A Systems and Engineering Perspective takes a fresh, interdisciplinary perspective on complex system dynamics, beginning with a discussion of relevant systems and engineering skills and practices, including an explanation of the systems approach and its major elements. From this perspective, the author formulates an ecosystem dynamics functionality-based framework to guide ecological investigations. Next, because complex system theory (across many subject matter areas) is crucial to the work of this book, relevant network theory, nonlinear dynamics theory, cellular automata theory, and roughness (fractal) theory is covered in some detail. This material serves as an important resource as the book proceeds. In the context of all of the foregoing discussion and investigation, a view of the characteristics of ecological network dynamics is constructed. This view, in turn, is the basis for the central hypothesis of the book, i.e., ecological networks are ever-changing networks with propagation dynamics that are punctuated, local-to-global, and perhaps most importantly fractal. To analyze and fully test this hypothesis, an innovative ecological network dynamics model is defined, designed, and developed. The modeling approach, which seeks to emulate features of real-world ecological networks, does not make a priori assumptions about ecological network dynamics, but rather lets the dynamics develop as the model simulation runs. Model analysis results corroborate the central hypothesis. Additional important insights and principles are suggested by the model analysis results and by the other supporting investigations of this book – and can serve as a basis for going-forward complex system dynamics research, not only for ecological systems but for complex systems in general. - Provides a fresh interdisciplinary perspective, offers a broad integrated development, and contains many new ideas - Clearly explains the elements of the systems approach and applies them throughout the book - Takes on the challenging and open issues of complex system network dynamics - Develops and utilizes a new, innovative ecosystem dynamics modeling approach - Contains over 135 graphic illustrations to help the reader visualize and understand important concepts
Author: Dietrich Stauffer Publisher: Springer Science & Business Media ISBN: 9783540565895 Category : Mathematics Languages : en Pages : 244
Book Description
"From Newton to Mandelbrot. A Primer in Theoretical Physics with Fractals for the Personal Computer" takes the student on a tour of the most important landmarks of theoretical physics: classical, quantum, and statistical mechanics, relativity, electrodynamics, and, the most modern and exciting of all, the physics of fractals. The treatment is confined to the essentials of each area, and short computer programs, numerous problems, and beautiful color illustrations round off this unusual textbook. Ideally suited for a one-year course in theoretical physics it will also prove useful in preparing and revising for exams. This edition is corrected and includes a new appendix on elementary particle physics, answers to all short questions and a MS-DOS diskette where a selection of executable programs exploring the fractal concept can be found. The Diskette The programs included on a 3 1/2" MS-DOS diskette runs on any IBM or compatible computer. System requirements: EGA or VGA graphics card, 16 colors and 1 MB RAM, MS-DOS 3.30 or higher; 386 processor or higher: - Fractal coastline - Gasket - Forest fire - Aggregation - Diffusion-limited aggregation
Author: Nigel Lesmoir-gordon
Author: Nigel Lesmoir-gordon
Author: Benoit Mandelbrot
Author: Benoit Mandelbrot
Author: Nigel Lesmoir-Gordon
Author: Hubert Damisch
Author: Myke Johnson
Author: Kenneth Falconer
Author: William S. Yackinous
Author: Dietrich Stauffer
Author: Michael Frame