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21. Fractals and Chaos in Geology and Geophysics by Donald L. Turcotte | |
Paperback: 416
Pages
(1997-07-13)
list price: US$90.00 -- used & new: US$65.00 (price subject to change: see help) Asin: 0521567335 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
Un libre excelente, an excellent book!
Superb application and explanation of chaos and fractals |
22. Fractals in Music: Introductory Mathematics for Musical Analysis Second Edition (Inmusic) by Charles Madden | |
Hardcover: 288
Pages
(2007-04-23)
list price: US$50.00 -- used & new: US$50.00 (price subject to change: see help) Asin: 0967172772 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
23. Chaos, Fractals, and Dynamics: Computer Experiments in Mathematics by Robert L. Devaney | |
Paperback: 181
Pages
(1989)
Isbn: 020123288X Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Customer Reviews (2)
helpful, easy to understand, straightforward
Nice introduction to Chaos and Fractals! |
24. Fractal Music, Hypercards and More Mathematical Recreations from "Scientific American" by Martin Gardner | |
Hardcover: 328
Pages
(1991-11-30)
list price: US$19.95 Isbn: 0716721880 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
profound masterpiece
Another work from the master of explaining mathematics |
25. The Fractal Organization: Creating sustainable organizations with the Viable System Model by Patrick Hoverstadt | |
Paperback: 336
Pages
(2009-08-25)
list price: US$55.00 -- used & new: US$40.82 (price subject to change: see help) Asin: 0470060565 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description “An excellent read…Many organizations fail at the mercy of their own ignorance. The author has done an excellent job in making ‘the science of effective organization’ accessible to management, providing them with a new knowledge to deal with the uncertainties that the markets place upon them.” Stephen J. Brewis, Business Architect, British Telecom. “.. one of the most interesting, thorough and rigorous guides to management that I have ever read, … introduces new insights in every chapter… carries a credibility which acts as a counterbalance to the sometimes difficult message which he conveys which is that a lot of mainstream management practice is at best ineffective and at worst downright destructive. I would recommend this book to anyone interested in management or systems thinking.” Penny Marrington, Course Chair, Systems Group, Open University “In my opinion this book manages to present sound academic theory that is relevant and helpful to the practitioner in the business. I experienced several A-HA moments.” Pauline Marsh, Strategy Director, CS&S International, BAE SYSTEMS. "The insights of the Viable System Model have been open only to a select few for much too long. Hoverstadt has gone furthest in bringing these ideas to a wider audience…Management books have too often been serious but not practical, or practical but not serious. This book is both brilliantly serious and practical, and often entertaining too.” Prof. Peter Kawalak, Manchester Business School. “Integrates mainstream management ideas with the systems ideas underpinning the VSM, and flows and reads well. As a starting point for developing understanding of the VSM in today’s world this book improves greatly on all books that have gone before, I would certainly recommend it to colleagues, clients, and students”. Dr. Robin Asby, Course Chair, Communication and Systems, Open University |
26. Fractal Mode by Piers Anthony | |
Paperback: 352
Pages
(1992-12-01)
list price: US$7.99 -- used & new: US$3.32 (price subject to change: see help) Asin: 0441251269 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (14)
Fractal Mode
Good Book
Fractal Mode
Fractured Mode of Boredom
Amazing!How does he come up with this stuff?! |
27. Fractals: A User's Guide for the Natural Sciences (Oxford Science Publications) by Harold M. Hastings, George Sugihara | |
Paperback: 248
Pages
(1994-01-27)
list price: US$67.95 -- used & new: US$38.82 (price subject to change: see help) Asin: 0198545975 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
For mathematicians, not for beginners
not for the beginner According to the book's review is in between the formality of many papers and a picture oriented book. The first two lines of its table of contents are: chapter. 1 Our view of nature page. 7...chapter. 2 Fractals and power law scaling 15...36 The chapter 1 is whatany picture intended book on fractals has. The chapter 2, where the funbegins and basic concepts as "power law", "fractaldimension" are introduced is incomprehensible. Nevertheless it seemsto be an interesting book about applications of fractals. I'm talking about"Part III", page > 80 to 233 (the end). It's curious andinconsistent book at the beginning: it talks to beginners in a way that isincomprehensible for a beginner!. If you are a beginner in fractals as Iam, you need another book!. ... Read more |
28. Fractured Fractals and Broken Dreams: Self-Similar Geometry through Metric and Measure (Oxford Lecture Series in Mathematics and Its Applications) by Guy David, Stephen Semmes | |
Hardcover: 224
Pages
(1998-02-19)
list price: US$150.00 -- used & new: US$109.50 (price subject to change: see help) Asin: 0198501668 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
29. Fractals and Scaling In Finance: Discontinuity, Concentration, Risk by Benoit B. Mandelbrot | |
Paperback: 551
Pages
(2010-11-02)
list price: US$84.95 -- used & new: US$68.03 (price subject to change: see help) Asin: 1441931198 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Mandelbrot is world famous for his creation of the new mathematics of fractal geometry. Yet few people know that his original field of applied research was in econometrics and financial models, applying ideas of scaling and self-similarity to arrays of data generated by financial analyses. This book brings together his original papers as well as many original chapters specifically written for this book. Customer Reviews (4)
Typical Mandlebrot
A clear warning to all those financial analysts using N(0,1)
scientific way of evaluating price movement
A book to make you think differently about the markets |
30. Fractals and Chaos Simplified for the Life Sciences by Larry S. Liebovitch | |
Paperback: 288
Pages
(1998-01-08)
list price: US$59.95 -- used & new: US$47.01 (price subject to change: see help) Asin: 0195120248 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Excellent! Make it a permanent part of your Library!! |
31. Creating Fractals (Graphics Series) by Roger Stevens | |
Paperback: 305
Pages
(2005-08-15)
list price: US$49.95 -- used & new: US$30.98 (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 |
32. Fractals and Chaos: The Mandelbrot Set and Beyond by Benoit B. Mandelbrot | |
Hardcover: 308
Pages
(2004-01-09)
list price: US$69.95 -- used & new: US$44.26 (price subject to change: see help) Asin: 0387201580 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description --From the foreword by Peter W Jones, Yale University This book provides a history of the Mandelbrot set of quadratic dynamics together with the authors hard-to-find early papers. It has extensive illustrations throughout and is divided into four sections: quadratic dynamics, klein groups, Minkowski measures, and Julia sets. Each section starts with introductory chapters giving historical context and background to the material. Benoit B Mandelbrot is Sterling Professor of Mathematical Sciences at Yale University and IBM Fellow Emeritus (Physics) at the IBM T J Watson Research Center. He was awarded the Wolf Prize for Physics in 1993 and the Japan Prize for Science and Technology in 2003. |
33. Nonlinear Workbook: Chaos, Fractals, Cellular Automata, Neural Networks, Genetic Algorithms, Gene Expression by Willi-Hans Steeb | |
Paperback: 628
Pages
(2008-06-17)
list price: US$73.00 -- used & new: US$29.99 (price subject to change: see help) Asin: 9812818537 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The numerical and symbolic methods are implemented in C++, SymbolicC++ and Java. Object-oriented techniques are also applied. The book contains more than 150 ready-to-run programs. The text has also been designed for a one-year course at both the junior and senior levels in nonlinear dynamics. The topics discussed in the book are part of e-learning and distance learning courses conducted by the International School for Scientific Computing, University of Johannesburg. Contents: Nonlinear and Chaotic Maps; Time Series Analysis; Autonomous Systems in the Plane; Nonlinear Hamilton Systems; Nonlinear Dissipative Systems; Nonlinear Driven Systems; Controlling of Chaos; Synchronization of Chaos; Fractals; Cellular Automata; Solving Differential Equations; Neural Networks; Genetic Algorithms; Gene Expression Programming; Optimization; Discrete Wavelets; Discrete Hidden Markov Processes; Fuzzy Sets and Fuzzy Logic. Customer Reviews (5)
Exact same content as the cheaper and sturdy paperback version
explains many key ideas
Good overview of nonlinear dynamics
Helpful in some sections Nonlinear and chaotic maps are considered in chapter 1, with elementary definitions given and six different examples of maps discussed. In discussing the calculation of numerical trajectories of maps, the author deals with the problem of large initial values for the maps and how to implement these in SymbolicC++ and Java. He also shows how to write/read data to a file using C, C++, and JAVA. The exception handling capability of JAVA comes out nicely, but no performance comparison between the three languages for simulating the maps is given by the author. The language REDUCE is used to discuss the stability of the fixed points of the logistic equation, but the code would be useless to the reader who did not have REDUCE since some of the function calls are hidden from the reader. Useful programs are given for calculating the Lyapunov and autocorrelation functions. In addition, C++ programs are given for evaluating the correlation integral for the Henon map. The programs he develops in this chapter can serve as a quick benchmark for one's own programs that calculate the same quantities. In chapter 2, the author discusses methods for studying time series, including the Lyapunov and Hurst exponents. These two quantities are of enormous importance in the study of dynamical systems, financial data, and network performance. The C++ program that the author gives for calculating the Hurst exponent will not work for arbitrary time intervals. This is followed in the next chapter by a consideration of autonomous systems of ordinary differential equations. The classification of fixed points is considered, and the important concept of a homoclinic orbit. The author gives a nice JAVA program that finds the homoclinic orbit of an anharmonic differential equation using the Lie series technique. The phase portrait of the Van der Pol oscillator is calculated using the Runge-Kutta technique in a C++ program, along with the Lotka-Volterra system from mathematical biology. Hamiltonian mechanics is discussed in chapter 4, with the important Henon-Heiles model from astrophysics is discussed and JAVA programs given for studying its behavior using the Poincare section technique. Newcomers to this technique will appreciate seeing it done here explicitly.Integrability of Hamiltonian systems using the Lax representation and Floquet theory are also treated, but only at a very rudimentary level. Dissipation is included in the next chapter, and the author discusses the classification of fixed points according to their stability. Lyapunov exponents are again brought into the picture, and the phenomenon of hyperchaos is discussed. Some bifurcation theory is introduced with an example of the Hopf bifurcation. Chapter 6 studies nonlinear driven systems, with the Duffing oscillator treated, and the author gives a useful program for calculating the autocorrelation function of this system. The controlling of chaos with feedback and non-feedback controls is the subject of the next chapter, mostly in the context of difference maps. Fractals finally get introduced in chapter 8, with iterated function systems defined but proofs of their properties omitted. The author gives programs for calculating various popular fractals, such as the dragon, Sierpinski gasket, Koch curve, the Mandelbrot set, and the Julia set. The main disappointment in this chapter is that the author does not give programs for calculating the Hausdorff dimension or capacity, quantities that are notoriously difficult to get a meaningful computational handle on. The author switches gears in the next chapter and discusses cellular automata, which have recently made a comeback, especially in research on quantum computation. The discussion is too brief however, and does not allow the reader to gain an appreciation of the properties of these important objects. Chapter 10 gives a brief overview of some techniques for solving differential equations, such as the Euler method and the Lie series technique. The latter is not commonly treated in beginning books so its inclusion here is helpful. Symplectic integration is also discussed briefly, but the author does not discuss how to check the integrators using backward integration, which is commonly used in conservative systems modeled by symplectic maps. Chapter 11, covering neural networks, is the most well-written in the book, and the newcomer to the field will get a fairly decent introduction to the subject. The supplied programs serve to illustrate some of the important concepts in neural networks, such as the Hopfield model, the Kohonen network, the perceptron learning algorithm, and the back-propagation algorithm. Chapter 12 is an introduction to genetic algorithms, and I find this one particularly nice also, as it does give a rudimentary introduction to what evolutionary algorithms are all about, and gives some elementary genetic programs that find the maximum of one- and two-dimensional maps. He also discusses simulated annealing, and gives a useful program that allows the reader to see clearly how this technique works. The last chapter covers fuzzy sets and fuzzy logic, which has also taken on importance in recent years, especially in data mining and financial engineering. The programs given to illustrate the concepts are particularly interesting from the standpoint of coding in C++, as the author uses friend functions and operating overloading in some of them. The reader gets a good overview of fuzzy reasoning and fuzzy rule-based systems.
Useful information, poor presentation The text is poorly written.The code is simple and easy to understand, but not very objectoriented.There is not enough explanation of the code.The code is notelectronically available. The treatment was very mathematical but lackingin explanation & application examples.There were plenty ofdeffinitions, but not enough examples. ... Read more |
34. Fractal Analysis (Quantitative Applications in the Social Sciences) | |
Paperback: 112
Pages
(2010-04-14)
list price: US$17.95 -- used & new: US$15.50 (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. |
35. Fractal Geometry in Digital Imaging by Martin J. Turner, Jonathan M. Blackledge, Patrick R. Andrews | |
Paperback: 328
Pages
(1998-07-07)
list price: US$103.00 -- used & new: US$44.38 (price subject to change: see help) Asin: 0127039708 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
36. Fractal Horizons: The Future Use of Fractals | |
Hardcover: 355
Pages
(1996-07)
list price: US$35.00 -- used & new: US$84.82 (price subject to change: see help) Asin: 0312125992 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
37. 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$115.79 (price subject to change: see help) Asin: 0521360250 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
38. 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 |
39. Measure, Topology, and Fractal Geometry (Undergraduate Texts in Mathematics) by Gerald Edgar | |
Hardcover: 272
Pages
(2007-11-26)
list price: US$54.95 -- used & new: US$35.00 (price subject to change: see help) Asin: 0387747486 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description From reviews of the first edition: "In the world of mathematics, the 1980's might well be described as the "decade of the fractal". Starting with Benoit Mandelbrot's remarkable text The Fractal Geometry of Nature, there has been a deluge of books, articles and television programmes about the beautiful mathematical objects, drawn by computers using recursive or iterative algorithms, which Mandelbrot christened fractals. Gerald Edgar's book is a significant addition to this deluge. Based on a course given to talented high- school students at Ohio University in 1988, it is, in fact, an advanced undergraduate textbook about the mathematics of fractal geometry, treating such topics as metric spaces, measure theory, dimension theory, and even some algebraic topology...the book also contains many good illustrations of fractals (including 16 color plates)." Mathematics Teaching "The book can be recommended to students who seriously want to know about the mathematical foundation of fractals, and to lecturers who want to illustrate a standard course in metric topology by interesting examples." Christoph Bandt, Mathematical Reviews "...not only intended to fit mathematics students who wish to learn fractal geometry from its beginning but also students in computer science who are interested in the subject. Especially, for the last students the author gives the required topics from metric topology and measure theory on an elementary level. The book is written in a very clear style and contains a lot of exercises which should be worked out." H.Haase, Zentralblatt About the second edition: Changes throughout the text, taking into account developments in the subject matter since 1990; Major changes in chapter 6. Since 1990 it has become clear that there are two notions of dimension that play complementary roles, so the emphasis on Hausdorff dimension will be replaced by the two: Hausdorff dimension and packing dimension. 6.1 will remain, but a new section on packing dimension will follow it, then the old sections 6.2--6.4 will be re-written to show both types of dimension; Substantial change in chapter 7: new examples along with recent developments; Sections rewritten to be made clearer and more focused. Customer Reviews (4)
some new material->same approach
A nice book
Good starting point to study fractal geometry. Suitable for 3rd-year undergrads.Interesting examples and exercises. Extensive bibliography. Please checkmy other reviews in my member page (just click on my name above).
A difficult but worthy book! |
40. Integral, Probability, and Fractal Measures by Gerald A. Edgar | |
Paperback: 286
Pages
(2010-11-02)
list price: US$99.00 -- used & new: US$99.00 (price subject to change: see help) Asin: 1441931120 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Seems to be an unread classic |
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