Author : Manfred Schroeder
Publisher : Courier Corporation
Page : 450 pages
File Size : 22,40 MB
Release : 2009-08-21
Category : Science
ISBN : 0486472043
This fascinating book explores the connections between chaos theory, physics, biology, and mathematics. Its award-winning computer graphics, optical illusions, and games illustrate the concept of self-similarity, a typical property of fractals. The author -- hailed by Publishers Weekly as a modern Lewis Carroll -- conveys memorable insights in the form of puns and puzzles. 1992 edition.
Author : Manfred Schroeder
Publisher : W. H. Freeman
Page : 429 pages
File Size : 40,90 MB
Release : 1992-07-15
Category : Mathematics
ISBN : 9780716723578
“As notable as the book’s broad sweep is the author’s good-natured, humorous presentation.”—Physics Today
Author : Manfred Robert Schroeder
Publisher : W H Freeman & Company
Page : 429 pages
File Size : 22,55 MB
Release : 1991
Category : Chaotic behavior in systems
ISBN : 9780716721369
Author : Heinz-Otto Peitgen
Publisher : Springer Science & Business Media
Page : 1013 pages
File Size : 38,54 MB
Release : 2013-06-29
Category : Mathematics
ISBN : 1475747403
For almost ten years chaos and fractals have been enveloping many areas of mathematics and the natural sciences in their power, creativity and expanse. Reaching far beyond the traditional bounds of mathematics and science to the realms of popular culture, they have captured the attention and enthusiasm of a worldwide audience. The fourteen chapters of the book cover the central ideas and concepts, as well as many related topics including, the Mandelbrot Set, Julia Sets, Cellular Automata, L-Systems, Percolation and Strange Attractors, and each closes with the computer code for a central experiment. In the two appendices, Yuval Fisher discusses the details and ideas of fractal image compression, while Carl J.G. Evertsz and Benoit Mandelbrot introduce the foundations and implications of multifractals.
Author : David P. Feldman
Publisher : Oxford University Press, USA
Page : 432 pages
File Size : 18,31 MB
Release : 2012-08-09
Category : Mathematics
ISBN : 0199566445
For students with a background in elementary algebra, this book provides a vivid introduction to the key phenomena and ideas of chaos and fractals, including the butterfly effect, strange attractors, fractal dimensions, Julia Sets and the Mandelbrot Set, power laws, and cellular automata. The book includes over 200 end-of-chapter exercises.
Author : Didier Sornette
Publisher : Springer Science & Business Media
Page : 445 pages
File Size : 14,12 MB
Release : 2013-04-17
Category : Science
ISBN : 366204174X
A modern up-to-date introduction for readers outside statistical physics. It puts emphasis on a clear understanding of concepts and methods and provides the tools that can be of immediate use in applications.
Author : Garnett Williams
Publisher : CRC Press
Page : 518 pages
File Size : 39,9 MB
Release : 1997-09-09
Category : Mathematics
ISBN : 1482295415
This text aims to bridge the gap between non-mathematical popular treatments and the distinctly mathematical publications that non- mathematicians find so difficult to penetrate. The author provides understandable derivations or explanations of many key concepts, such as Kolmogrov-Sinai entropy, dimensions, Fourier analysis, and Lyapunov exponents.
Author : Alex Bellos
Publisher : Simon and Schuster
Page : 352 pages
File Size : 37,97 MB
Release : 2014-06-10
Category : Mathematics
ISBN : 1451640129
From triangles, rotations and power laws, to cones, curves and the dreaded calculus, Alex takes you on a journey of mathematical discovery with his signature wit and limitless enthusiasm. He sifts through over 30,000 survey submissions to uncover the world’s favourite number, and meets a mathematician who looks for universes in his garage. He attends the World Mathematical Congress in India, and visits the engineer who designed the first roller-coaster loop. Get hooked on math as Alex delves deep into humankind’s turbulent relationship with numbers, and reveals how they have shaped the world we live in.
Author : John Gribbin
Publisher : Penguin UK
Page : 451 pages
File Size : 12,81 MB
Release : 2009-08-27
Category : Science
ISBN : 0141042214
'Gribbin takes us through the basics with his customary talent for accessibility and clarity' Sunday Times The world around us can be a complex, confusing place. Earthquakes happen without warning, stock markets fluctuate, weather forecasters seldom seem to get it right - even other people continue to baffle us. How do we make sense of it all? In fact, John Gribbin reveals, our seemingly random universe is actually built on simple laws of cause and effect that can explain why, for example, just one vehicle braking can cause a traffic jam; why wild storms result from a slight atmospheric change; even how we evolved from the most basic materials. Like a zen painting, a fractal image or the pattern on a butterfly's wings, simple elements form the bedrock of a sophisticated whole. Synthesizing chaos and complexity theory for the perplexed, Deep Simplicity brilliantly illuminates the harmony underlying our existence.
Author : Bruce J. West
Publisher : World Scientific
Page : 345 pages
File Size : 39,44 MB
Release : 2012
Category : Mathematics
ISBN : 9814417793
This exceptional book is concerned with the application of fractals and chaos, as well as other concepts from nonlinear dynamics to biomedical phenomena. Herein we seek to communicate the excitement being experienced by scientists upon making application of these concepts within the life sciences. Mathematical concepts are introduced using biomedical data sets and the phenomena being explained take precedence over the mathematics. In this new edition what has withstood the test of time has been updated and modernized; speculations that were not borne out have been expunged and the breakthroughs that have occurred in the intervening years are emphasized. The book provides a comprehensive overview of a nascent theory of medicine, including a new chapter on the theory of complex networks as they pertain to medicine.
