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1. The Fractal Geometry of Nature by Benoit B. Mandelbrot | |
Hardcover: 468
Pages
(1983)
list price: US$50.00 -- used & new: US$35.72 (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 |
2. Fractal Time: The Secret of 2012 and a New World Age by Gregg Braden | |
Paperback: 256
Pages
(2010-02-01)
list price: US$14.95 -- used & new: US$8.00 (price subject to change: see help) Asin: 1401920659 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description What makes this model so important today is that the returning cycles also carry a window of opportunity—a choice point—that allows us to choose a new outcome for the cycle. Braden suggests that if we can see time from this perspective, the patterns will show us what’s in store for the future, and perhaps how to avoid the mistakes of our past. After presenting the case histories that confirm the accuracy of fractal time calculations, the author crosses the traditional boundaries of science and spirituality to answer the question that must be asked: What does fractal time tell us about 2012, and beyond? Because the cycles repeat, the seed for 2012 has already happened and the pattern already exists! In a narrative format of easy-to-read science and true-life accounts, Fractal Time shows us what we can expect as we close the Great World Age described by the Mayan Calendar, and the secret to our moment in history. Customer Reviews (74)
gregg braden should write science fiction, he is a fraud
The Soul of a Woman's Vision
Create your own windows of opportunity
Interesting information about 2012
Fractal Time |
3. Fractals, Googols, and Other Mathematical Tales by Theoni Pappas | |
Paperback: 72
Pages
(1993-02-16)
list price: US$10.95 -- used & new: US$5.95 (price subject to change: see help) Asin: 0933174896 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (10)
Math tales
Fractals and Googols. . . and Penrose
Let's clear this up
Could I help clarify?
Revieing the reviewer |
4. The Misbehavior of Markets: A Fractal View of Financial Turbulence by Benoit Mandelbrot, Richard L. Hudson | |
Paperback: 368
Pages
(2006-03-07)
list price: US$18.95 -- used & new: US$8.95 (price subject to change: see help) Asin: 0465043577 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Mathematical superstar and inventor of fractal geometry, Benoit Mandelbrot, has spent the past forty years studying the underlying mathematics of space and natural patterns. What many of his followers don't realize is that he has also been watching patterns of market change. In The (Mis)Behavior of Markets, Mandelbrot joins with science journalist and former Wall Street Journal editor Richard L. Hudson to reveal what a fractal view of the world of finance looks like. The result is a revolutionary reevaluation of the standard tools and models of modern financial theory. Markets, we learn, are far riskier than we have wanted to believe. From the gyrations of IBM's stock price and the Dow, to cotton trading, and the dollar-Euro exchange rate--Mandelbrot shows that the world of finance can be understood in more accurate, and volatile, terms than the tired theories of yesteryear.The ability to simplify the complex has made Mandelbrot one of the century's most influential mathematicians. With The (Mis)Behavior of Markets, he puts the tools of higher mathematics into the hands of every person involved with markets, from financial analysts to economists to 401(k) holders. Markets will never be seen as "safe bets" again. Customer Reviews (70)
An opportunity for continued thinking
An unconventional view of financial markets
Excellent Book
The Awesomeness of Fractals
Standard deviation, CAPM, Modern Portfolio Theory turned on their heads |
5. Fractals, Chaos, Power Laws: Minutes from an Infinite Paradise by Manfred Schroeder | |
Paperback: 448
Pages
(2009-08-21)
list price: US$24.95 -- used & new: US$14.02 (price subject to change: see help) Asin: 0486472043 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description 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. Customer Reviews (12)
Excellent introduction to fractals and power laws
Collection of specific cases
A Chaotic Heaven
Great Math Book
For the uninitiated!.--Fun too! |
6. Fractal Geometry: Mathematical Foundations and Applications by Kenneth Falconer | |
Paperback: 366
Pages
(2003-11-14)
list price: US$70.00 -- used & new: US$50.55 (price subject to change: see help) Asin: 0470848626 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (6)
The Basic Text For Understanding Fractals
A rare find
What every student should know about fractals.
Theoretical as well as practical insight Excellent for understanding the geometrical properties of fractals.
Exposes fractal geometry as a real mathematical discipline. It begins introducing basictopological concepts and then proceeds to develop the theory for severalpossible definitions of fractal dimension, showing the relations betweenthem. Then it explores deeply the local geometry of different kinds offractal objects, and studies some other geometrical situations, like thepojection of fractals (ever thought of a DIGITAL sundial? Here it isdescribed!). The book also includes a lot of applications to other areasof mathematics and physics, a great amount of graphics, and muchmore. The text is suitable from third year undergraduate school and on.It is a larger but lighter version of "The Geometry of FractalSets". ... Read more |
7. Introducing Fractals: A Graphic Guide by Nigel Lesmoir-Gordon | |
Paperback: 176
Pages
(2005-10-15)
list price: US$9.95 -- used & new: US$5.17 (price subject to change: see help) Asin: 1848310870 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
8. The Science of Fractal Images | |
Hardcover: 312
Pages
(1988-07-19)
list price: US$64.95 -- used & new: US$88.14 (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 |
9. 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 |
10. 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$53.09 (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 |
11. The Beauty of Fractals: Images of Complex Dynamical Systems by Heinz-Otto Peitgen | |
Hardcover: 199
Pages
(1986-08)
list price: US$89.95 -- used & new: US$24.00 (price subject to change: see help) Asin: 0387158510 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (7)
A Beautiful Introduction To Fractals
One of the first fractal books!
The Essence of Beauty I cannot understand why some people would argue the intrinsic artistic merit of something computer-generated and 'unnatural', when the results speak for themselves. Beauty, true, is perceived, and lies in the eye of the beholder. It can be very subjective. But there are certain aspects of visual appeal that go beyond that. One would think that a symmetry of form, the complementary use of colours, the balance of shape and form, light and shade, arcs and curves--all these combine to give an objective, irrefutable fact of beauty that transcends thought and emotions, if not the senses. In a couple of the chapters, it was said, and here I paraphrase: The two modes of analysis and intuition as human means of understanding the natual world--need they be considered at opposite poles? Do they not complement one another? Are the thinker and the dreamer not one? I find that very intriguing, just as I find the idea of chaos and order existing together in natural, dynamic processes being actually TYPICAL of Nature. The word 'Chaos' has such negative connotations, implying confusion and destruction, but if I were to replace it with the word 'Disorder', then things begin to fall into place. There can be no Order if there were no Disorder, for how then would we know the difference? In fact, one of the writers go so far as to say that it is the very existence of Disorder within Order that confers the essence of beauty found in Nature. In Nature, which, apart from abhorring vacuums, also has no place for a straight line (oh, how the poor, innocent straight line is maligned in the preface), beauty is inarguable, irrefutable, and only after that does it have history and context, different to and for each beholder. So both Chaos/Disorder and Order co-exist in Nature, hand in hand. Order alone, rigidly disciplined, artificially-imposed, seems to require Disorder to breathe life into it. Taking this a step further, our perception of beauty in all things is affected by Nature. In yet another chapter, someone quoted someone else and here I go Beauty in science is the same as beauty in other disciplines-art, music,literature, what have you.'A fog of events, and suddenly you see a connection. It expresses a complex of human concerns that goes deeply to you, that connects things that were always in you that were never put together before.' The thinker and the dreamer co-exist within each person, just as the analytical and intuitive modes of thought co-exist, not at opposite poles,but complementing one another. Intuition and analysis complement, rather than confound (or they should, gods-willing). The artist and the scientist complement each other, i.e. Art and Science are not the opposing polarites of disciplines as some would have us think. The thinker and the dreamer ARE one. And this book has shown that the essence of beauty lies in the marriage of Art and Science. (Disclaimer: Mere thoughts from a layman.)
Time goes by... the pictures fade
Swirly |
12. Introducing Fractal Geometry by Nigel Lesmoir-Gordon | |
Paperback: 176
Pages
(2002-01-26)
list price: US$12.95 Isbn: 1840467134 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (10)
NEVER in Stock!!!!!
Interesting book, Illogical progression
Excellent introduction to fractals
disappointing, irregular
loved it |
13. Fractals Everywhere by Michael F. Barnsley | |
Paperback: 534
Pages
(2000-04-18)
list price: US$82.95 Isbn: 0120790696 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description
Customer Reviews (12)
Way over my head!
The most intelligent and usefull book on fractals
A below average text book
Sometimes annoying but instructive For instance, there is little or no instruction on how to implement the IFS attractors presented as a panacea for data compression. This seems to be proprietary to his company. It also seems that hands-on manipulation is crucial to the images' production, contrary to the author's claims. If you can understand the mathematics you may find the book useful, as I did when writing my book Fractals in MUsic.
A bad book for 7 th graders like me |
14. Lectures on Fractal Geometry and Dynamical Systems (Student Mathematical Library) by Yakov Pesin and Vaughn Climenhaga | |
Paperback: 314
Pages
(2009-10-21)
list price: US$51.00 -- used & new: US$50.99 (price subject to change: see help) Asin: 0821848895 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Not aparticularly great book |
15. The Geometry of Fractal Sets (Cambridge Tracts in Mathematics) by K. J. Falconer | |
Paperback: 180
Pages
(1986-07-25)
list price: US$43.00 -- used & new: US$32.95 (price subject to change: see help) Asin: 0521337054 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
Ingenious Compilation of Essential Fractals The text is written in full proper-fonting and contains many illustrations.Qualitatively the book should be of high value to researchers, graduates, and Phd's with the finest tastes.
Introduction to geometric measure theory The book finish with a magnificent list of examples of haussdorff dimension computation: self-similar sets, Apollonian packings, number theory, Feigenbaum logistic map and Brownian motion.
Advanced treatise on fractal geometry. As it can be inferred from the preceeding paragraph, the book isnot for begineers; it was designed for graduate level courses. Undergradsand laymen should start with Edgar's "Measure, Topology, and FractalGeometry" and Falconer's "Fractal Geometry: MathematicalFoundations and Applications". Please check my other reviews (justclick on my name above). ... Read more |
16. 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. |
17. Gaussian Self-Affinity and Fractals by Benoit Mandelbrot | |
Hardcover: 664
Pages
(2001-12-14)
list price: US$97.00 -- used & new: US$4.87 (price subject to change: see help) Asin: 0387989935 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
18. Fractal Market Analysis: Applying Chaos Theory to Investment and Economics by Edgar E. Peters | |
Hardcover: 336
Pages
(1994-01-12)
list price: US$95.00 -- used & new: US$58.99 (price subject to change: see help) Asin: 0471585246 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (9)
Gets you up and running with chaos theory for time series This book glosses over some conceptual topics such as Efficient Market Theory and the Fractal Market Hypothesis in favor of details to perform a rigorous statistical analysis.These conceptual topics are better covered in Peters' earlier work "Chaos and Order in the Capital Markets". For the analytically oriented reader, there can be much frustration as equations are often initially presented in sloppy and unusable forms with undefined parameters (hence 4 of 5 stars).However, these are subsequently broken down and presented in a step-by-step manner that will allow most readers to implement his techniques. Overall, this is an excellent introductory book for the practitioner or economist, not so great for the non-technical reader.
This book is a disappointment Unfortunately, the deeper you get into the "meet and potatoes" of this text, the more disappointing it gets. This book offers nothing. Readers less skilled in the subject matter might attribute this to their shortcomings or lesser math skills. Readers well-versed in this subject matter will easily determine that this text is a waste of time...
Good for newcomers to FMA
Almost useless On the editing side, I think Wileycould have done better. The math in the book is typeset in a programminglanguage style and you have to give extra effort in order to readthem. The three stars is for being one of the very few works available inthis field.
simple as possible intro to fractals and markets |
19. Fractal Concepts in Surface Growth by Albert-Laszlo Barabasi, Harry Eugene Stanley | |
Paperback: 388
Pages
(1995-04-28)
list price: US$50.00 -- used & new: US$45.00 (price subject to change: see help) Asin: 0521483182 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
Good on self affine scaling
Fractal Concepts in Surface Growth
gives science growth that generates a increase in human life |
20. The Fractal Murders (Pepper Keane Mysteries) by Mark Cohen | |
Mass Market Paperback: 368
Pages
(2005-07-01)
list price: US$20.50 -- used & new: US$17.97 (price subject to change: see help) Asin: 0446614912 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (39)
mystery
Great story, unique subject
A pretty good mystery
Smart
Great math mystery that's not too technical |
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