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1. Fractals: The Patterns of Chaos: Discovering a New Aesthetic of Art, Science, and Nature (A Touchstone Book) by John Briggs | |
Paperback: 192
Pages
(1992-11-01)
list price: US$23.00 -- used & new: US$59.99 (price subject to change: see help) Asin: 0671742175 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Fractals are unique patterns left behind by the unpredictable movements -- the chaos -- of the world at work. The branching patterns of trees, the veins in a hand, water twisting out of a running tap -- all of these are fractals. Learn to recognize them and you will never again see things in quite the same way. Fractals permeate our lives, appearing in places as tiny as the surface of a virus and as majestic as the Grand Canyon. From ancient tribal peoples to modern painters to the animators of Star Wars, artists have been captivated by fractals and have utilized them in their work. Computer buffs are wild about fractals as well, for they can be generated on ordinary home computers. In Fractals: The Patterns of Chaos, science writer John Briggs uses over 170 illustrations to clearly explain the significance -- and more importantly, the beauty -- of fractals. He describes how fractals were discovered, how they are formed, and the unique properties different fractals share. Fractals is a breathtaking guided tour of a brand new aesthetic of art, science, and nature. It will revolutionize the way you see the world and your place within it. * Contains a special bibliography listing fractal generating software for desktop computers Customer Reviews (13)
The best introductory guide to fractals and chaos
staggeringly beautiful
Patterns to Inspire - A Captivating Look into Fractals
Don't buy this book
Great Photos, Poor Content |
2. Fractals for the Classroom: Part 1: Introduction to Fractals and Chaos by Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe | |
Hardcover: 452
Pages
(1991-10-22)
list price: US$59.95 -- used & new: US$26.79 (price subject to change: see help) Asin: 038797041X Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Fractals for the Classroom |
3. Fractal Geometry in Architecture & Design by Carl Bovill | |
Hardcover: 212
Pages
(1996-03-28)
list price: US$109.00 -- used & new: US$69.00 (price subject to change: see help) Asin: 0817637958 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Fractal geometry is the formal study of mathematical shapes that display a progression of never-ending, self-similar, meandering detail from large to small scales. It has the descriptive power to capture, explain, and enhance one's appreciation of and control over complex diversity. Natural shapes and rhythms, such as leaves, tree branching, mountain ridges, flood levels of a river, wave patterns, and nerve impulses, display this cascading behaviour. These fractal concepts are found in many fields, from physics to musical composition. Customer Reviews (1)
Only book I've seen that understands both subjects |
4. Creating Fractals (Graphics Series) by Roger Stevens | |
Paperback: 305
Pages
(2005-08-15)
list price: US$49.95 -- used & new: US$30.87 (price subject to change: see help) Asin: 1584504234 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Fractals are the name given to certain types of iterated equations that produce very strange results and are capable of creating unusual and beautiful patterns. Creating Fractals describes the characteristics and mathematical background of fractals and shows the reader how the accompanying fractal-generating program is used to produce thousands of different kinds of fractals, to enlarge them, to color them, and to save them—without any knowledge of computers or programming. The program works with any computer using Windows. In addition to producing artistic effects, the reader can gain an understanding of how each type of fractal is created and how it might be used to treat natural phenomena, e.g., the turbulence of liquids, the behavior of the stock market, and the compression of graphic images. Mathematical terminology is explained in elementary terms. KEY FEATURES:* Includes a fractal-generating program on the CD-ROM that is capable of producing and modifying thousands of fractals* Describes the mathematics (in elementary terms) involved in creating different types of fractals* The CD-ROM has over 100 example fractal images and includes all of their source code, permitting modification of the program to add new fractals, or change the program to meet specialized requirements Customer Reviews (4)
Creating Fractals
Disappointing book creates but does not teach fractals
Dissaponted
Introducing the Mathematics of Fractals |
5. The Science of Fractal Images | |
Hardcover: 312
Pages
(1988-07-19)
list price: US$64.95 -- used & new: US$39.99 (price subject to change: see help) Asin: 0387966080 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (4)
Fractals -- Applied Mathmatics and Computer Programming
Great book on fractals and imaging
One of the best (if no the best) in the feild This book reads at any level, Great introduction to the field as well as an indespencible reference. Shows easy to implement code examples, and has lots of pictures showing what can beacheived. This has been a main reference for a theisis I am currentlyworking on. The question is, why is it out of print. If you can find itit's worth it's wheight in gold.
A must |
6. African Fractals: Modern Computing and Indigenous Design by Ron Eglash | |
Paperback: 272
Pages
(1999-03-01)
list price: US$32.95 -- used & new: US$25.37 (price subject to change: see help) Asin: 0813526140 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Anthropologists have observed that the patterns produced in differentcultures can be characterized by specific design themes.In Europeand America, we often see cities laid out in a grid pattern ofstraight streets and right-angle corners.In contrast, traditionalAfrican settlements tend to use fractal structure--circles of circlesof circular dwellings, rectangular walls enclosing ever-smallerrectangles, and streets in which broad avenues branch down to tinyfootpaths with striking geometric repetition.These indigenousfractals are not limited to architecture; their recursive patternsecho throughout many disparate African designs and knowledge systems. Drawing on interviews with African designers, artists, and scientists,Ron Eglash investigates fractals in African architecture, traditionalhairstyling, textiles, sculpture, painting, carving, metalwork,religion, games, practical craft, quantitative technologies, andsymbolic systems.He also examines the political and socialimplications of the existence of African fractal geometry.His bookmakes a unique contribution to the study of mathematics, Africanculture, anthropology, and computer simulations. Customer Reviews (7)
Former Student
At times the author crosses the line where mathematics is "found" inside situations when it is not there
a good introduction to African mathematics and fractal geometry
Connecting Africans ancient and modern This book should be in every school and home in this country.I take that back, this book should be in every school globally. Another scientific book that would make a great set for any school or home is, The African Unconscious.Written by Edward Bruce Bynum.You can find it here on Amazon.com.
This book helps to render obsolete long-held myths. |
7. Chaos and Fractals: New Frontiers of Science by Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe | |
Hardcover: 864
Pages
(2004-02-03)
list price: US$89.95 -- used & new: US$53.08 (price subject to change: see help) Asin: 0387202293 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The most appealing aspect about Chaos andFractals has to be its hundreds of images and graphics (withdozens in full-color) used to illustrate key concepts. Even themath-averse reader should be able to follow the basic presentation ofchaos and fractals here. Since fractals often mimic natural shapessuch as mountains, plants, and other biological forms, they lendthemselves especially well to visual representation. Early chaptershere document the mathematical oddities (or "monsters") such as theSierpinski Gasket and the Koch Curve, which laid the groundwork forlater discoveries in fractals. The book does a fine job of placingrecent discoveries about chaos into a tradition of earliermathematical research. Its description of the work of mathematicianslike Pascal, Kepler, Poincaré, Sierpinski, Koch, and Mandelbrotmakes for a fine read, a detective story that ends with the discoveryof order in chaos. (For programmers, the authors provide shortalgorithms and BASIC code, which lets you try out plotting variousfractals on your own.) This is not, however, only a book of prettypictures. For the reader who needs the mathematics behind chaostheory, the authors in no way dumb down the details. (But because thericher mathematical material is set off from the main text, thegeneral reader can still make headway without getting lost.) Therehave been advances in the field since this book's publication in 1992,but Chaos and Fractals remains an authoritative generalreference on chaos theory and fractals. A must for math students (andmath enthusiasts), Chaos and Fractals also deserves a place onthe bookshelf of any general reader or programmer who wants tounderstand how today's mathematicians and scientists make sense of ourworld using chaos theory. --Richard Dragan Topicscovered: Overview of fractals and chaos theory, feedback andmultiple reduction copy machines (MRCMs), the Cantor Set, theSierpinski Gasket and Carpet, the Pascal Triangle, the Koch Curve,Julia Sets, similarity, measuring fractal curves, fractal dimensions,transformations and contraction mapping, image compression, chaosgames, fractals and nature, L-systems, cellular automata basics,attractors and strange attractors, Henon's Attractor, Rössler andLorenz Attractors, randomness in fractals, the Brownian motion,fractal landscapes, sensitivity and periodic points, complexarithmetic basics, the Mandelbrot Set, and multifractal measures. Customer Reviews (13)
This book is a dream come true.
It's all true: Best single source on fractals-but get the 1st ed.
Compare the editions
Excellent tutorial on nonlinearity
A good introduction This is a sizable book, and space prohibits a detailed review, but some of the more interesting discussions in it include: 1. The video feedback experiment, which can be done with only a video camera and a TV set. This is always a crowd pleaser, at whatever level of the audience it is presented to. 2. The comparison between doing iteration of a chaotic map on two different calculating machines: a CASIO and an HP. The difference is very dramatic, illustrating the effect of finite accuracy arithmetic. 3. The pictures illustrating the Chinese arithmetic triangle and Pascal's triangle as it appeared in Japan in 1781. 4. The space-filling curve and its relation to the problem of defining dimension from a topological standpoint. This discussion motivates the idea of covering dimension, which the authors overview with great clarity. They also give a rigorous definition of the Hausdorff dimension and discuss its differences with the box counting dimension. 5. The many excellent color plates in the book, especially the one illustrating a cast of the venous and arterial system of a child's kidney. 6. The difficulty in measuring power laws in practice. 7. Image encoding using iterated function systems, which has become very important recently in satellite image analysis. This leads into a discussion of the Hausdorff distance, which is of enormous importance not only in the study of fractals but also in general topology: the famous hyperspaces of closed sets in a metric space. 8. The relation between chaos and randomness, discussed by the authors in the context of the "chaos game." 9. L-systems, which are motivated with a model of cell division. 10. the number theory behind Pascal's triangle. 11. The simulation of Brownian motion. 12. The Lyapunov exponent for smooth transformations. 13. The property of ergodicity and mixing for transformations, the authors pointing out that true ergodic behavior cannot be obtained in a computer where only a a finite collection of numbers is representable. 13. The concept of topological conjugacy. 14. The existence of homoclinic points in a dynamical system. These are very important in physical applications of chaos. 15. The Rossler attractor and its pictorial representation. 16. How to calculate the dimensions of strange attractors. 17. How to calculate Lyapunov exponents from time series, which is of great interest in many different applications, especially finance. 18. The Julia set, which the authors relate eventually to potential theory. ... Read more |
8. Dynamical Systems and Fractals: Computer Graphics Experiments with Pascal by Karl-Heinz Becker, Michael Dörfler | |
Hardcover: 412
Pages
(1989-11-24)
list price: US$120.00 -- used & new: US$115.57 (price subject to change: see help) Asin: 0521360250 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
9. Fractal Physiology (Methods in Physiology 2 An American Physiological Society Book) (Volume 0) by James B. Bassingthwaighte, Larry S. Liebovitch, Bruce J. West | |
Hardcover: 384
Pages
(1994-10-27)
list price: US$65.00 Isbn: 0195080130 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
10. The Fractal Geometry of Nature by Benoit B. Mandelbrot | |
Hardcover: 468
Pages
(1983)
list price: US$50.00 -- used & new: US$35.63 (price subject to change: see help) Asin: 0716711869 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Clouds are not spheres, mountains are not cones, and lightening does not travel in a straight line. The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes. Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their new applications. The Fractal Geometry of Nature is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations. The Fractal Geometry ofNature is a mathematics text. But buried in the deltas and lambdasand integrals, even a layperson can pick out and appreciateMandelbrot's point: that somewhere in mathematics, there is anexplanation for nature. It is not a coincidence that fractal math isso good at generating images of cliffs and shorelines and capillarybeds. Customer Reviews (20)
A great insight into the world of fractals
A fractal is by definition
How We Mandel
A fractal is by definition
item as promised |
11. Fractals in the Fundamental and Applied Sciences by Heinz-Otto Peitgen, Jose Marques Henriques | |
Hardcover: 462
Pages
(1991-10-01)
list price: US$169.25 Isbn: 0444887571 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
12. Thinking in Patterns: Fractals and Related Phenomena in Nature | |
Hardcover: 336
Pages
(2004-05)
list price: US$176.00 -- used & new: US$157.92 (price subject to change: see help) Asin: 9812388222 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This book contains an extended article by B B Mandelbrot, reviewing his contribution to fractal geometry and outlining some unsolved problems, with illustrations especially of finance and physics. It covers a range of multidisciplinary topics — from the biology of aging, through the self-similar shape of plants, image decompression and solar magnetic fields, to sound reflection in the street. The book is a treasure trove for innovative researchers working in fields related to fractal geometry. |
13. Fractal Cosmos: The Art of Mathematical Design by Jeff Berkowitz | |
Paperback: 212
Pages
(1998-01)
list price: US$29.95 -- used & new: US$4.70 (price subject to change: see help) Asin: 1569370648 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (6)
333 color plates, graphical potential of fractals, album-like
Great intro to fractals
math and art
A fractal survey with beauty, intrigue and educational value Chapter one is the obligatory brief history of fractal image generation, including Mandelbrot, population growth, and citing quite a few popular books on the subject. The heart of the book is the eye candy, presented in bright colors on high quality paper, with a bare minimum of mathematical labeling to maximize the "art appreciation" aspect of the viewing. This is divided into 5 chapters of somewhat like families of fractals, with brief but informative introductions. If you want a lot of beautiful fractal images that vary widely - you'll certainly get that here. Chapter 2 gives many images of the Mandelbrot set. Chapter 3 explores various polynomials, powers, roots, and rational expressions. This clearly answered my early layman's question "What about other types of simple equations?" Chapter 4 then goes into exponentials, logarithms, trigonometrics, and various combinations. Chapter 5 then shows 3-d compositions, with many fractal skies, mountains, trees, and landscapes, plus the fractal spheres looking so much like moons or planets. Finally, chapter 6 does some interesting "studies" where you get treated to a page at a time of (6) images with very similar equations, where he alters some variable. Examples: the amount of zooming (up to 169 quintillion - with little loss in image detail), or iterating c by small amounts (like .005 to .01). At this point I thought - very nice book, but I felt a little let down by so little INFORMATION passed along about WHAT these pictures were. The appendices changed all that! Appendix A gives a nice explanation, complete with examples and graphs, of how to generate Julia Set fractal images. Appendix B is a 2 page selected bibliography, including both books and papers. Appendix C lists and briefly explains 20 "Important Formulae for Complex Numbers". Having this would have saved me buying a book about complex numbers when I first discovered fractals, since it implies what the "rules" are. Appendix D is REALLY KEY - for chapters 1-4, it lists nice mathematical data, and in almost all cases this includes: the image type, the equation, the complex constant, the screen parms, the blowup parms, and the maximum number of iterations. Here then, is HOW these beauties were created. For chapter 5, he doesn't list this, and for chapter 6, since they're studies, the detail varies, but is pretty good overall. To me, this takes the book from "very nice" to "awesome" because the layman can now get a better grasp on things and pursue what interests him/her. Finally, unlabeled, but apparently Appendix E in my mind, he provides and index to the images BY EQUATION. A very nice cross reference to those thinking of exploring further in the literature or on their PC's. So the "heavy math" type likely won't find much new here. For the rest of us, who just want some art, some (layman's)meaning/education, or both, aside from parts of "The Beauty of Fractals" this was without peer.
An excellent picture of fractals the CHAOS universe |
14. Analysis on Fractals (Cambridge Tracts in Mathematics) by Jun Kigami | |
Paperback: 236
Pages
(2008-03-01)
list price: US$50.00 -- used & new: US$41.23 (price subject to change: see help) Asin: 0521057116 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Metrics, fractals, analysis... |
15. Fractal Surfaces by John C. Russ | |
Hardcover: 309
Pages
(1994-02-28)
list price: US$179.00 -- used & new: US$127.13 (price subject to change: see help) Asin: 0306447029 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Happy with vendor and product |
16. Curves and Fractal Dimension by Claude Tricot | |
Hardcover: 323
Pages
(1994-11-18)
list price: US$99.00 -- used & new: US$78.63 (price subject to change: see help) Asin: 0387940952 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
17. Fractals: Non-Integral Dimensions and Applications by G. Cherbit | |
Hardcover: 266
Pages
(1991-01-17)
list price: US$220.00 -- used & new: US$136.32 (price subject to change: see help) Asin: 0471927988 Canada | United Kingdom | Germany | France | Japan | |
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18. An Eye For Fractals: A Graphic And Photographic Essay (Studies in Nonlinearity) by Michael Mcguire, Benoit B. Mandelbrot | |
Hardcover: 176
Pages
(1991-07-21)
list price: US$40.00 -- used & new: US$17.75 (price subject to change: see help) Asin: 0201554402 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Fractional geometry posits that a natural visual complexity can arise from iteration of simple rules and simple shapes. An Eye for Fractals is a fascinating study of the converse premise: that nature’s complexity implies an underlying simplicity that can be traced back to fractal geometry.The book effectively integrates art with science, illustrating the natural occurrence of mathematics and geometry in lava flows, kelp beds, cloud formations and aspen groves. The book is enhanced with more than 150 photographs and drawings, including some color illustrations. An Eye for Fractals is a beautiful introduction to fractal geometry, a graphic, visual approach that should appeal to all who feel the fascination of this artful mathematics. Customer Reviews (4)
Science and art, together again
A good primer on fractals and an excellent introduction to their appearance in nature
beautiful BW photographs
A beautiful journey through math and nature Fractal geometry is revolutionizing the way thatscientists perceive the universe and its underlying order.Anyone canbenefit greatly from this understanding by reading this book. ... Read more |
19. Fractal Analysis (Quantitative Applications in the Social Sciences) | |
Paperback: 112
Pages
(2010-04-14)
list price: US$17.95 -- used & new: US$15.49 (price subject to change: see help) Asin: 1412971659 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description A specialized presentation of fractal analysis oriented to the social sciences This primer uses straightforward language to give the reader step-by-step instructions for identifying and analyzing fractal patterns and the social process that create them. By making fractals accessible to the social science students, this book has a significant impact on the understanding of human behavior. Key Features
This is the only book designed to introduce fractal analysis to a general social science audience. |
20. Fractals in Physical Science (Nonlinear Science : Theory and Application Series) by H. Takayasu | |
Paperback: 180
Pages
(1992-03)
list price: US$121.80 Isbn: 0471935190 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
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