Subjects:  1. Applied    2. Fractal Geometry    3. Fractals    4. Functions, Zeta    5. Geometry - Algebraic    6. Geometry - Analytic    7. Mathematics    8. Number Theory    9. Science/Mathematics    10. Theory Of Numbers    11. Topology - Fractals    12. Algebraic geometry    13. Geometry    14. Mathematics / Geometry / Analytic    15. Mathematics / Number Theory    16. Mathematics-Applied    17. Mathematics-Topology - Fractals    18. differential geometry    19. partial differential equations   

Subjects:  1. Computer Graphics - General    2. Electronics - General    3. Engineering    4. Engineering - Chemical & Biochemical    5. Engineering mathematics    6. Fractals    7. Mathematical Analysis    8. Mathematical models    9. Science/Mathematics    10. Technology    11. Technology & Industrial Arts    12. Artificial Evolution    13. Chemical Engineering    14. Fractional Calculus    15. Harmonic Analysis    16. Image Processing    17. Interated Function System    18. Mathematics for scientists & engineers    19. Multifractals    20. Signal Processing    21. Surface Science    22. Technology / Engineering / General    23. Telecommunications    24. Wavelets   

Reviews (9)

Gets you up and running with chaos theory for time series
This book includes a very detailed description of how to apply some chaos theory techniques - primarily R/S analysis - to time series data.With this technique, one can gauge whether a time series is completely random, completely predictive, or a mixture of these. This book is a disappointment
As a market analyst for an oil company, I spend considerable effort in trying to find new ways and theories to "decode" the markets and overcome uncertainty. I had hoped Mr. Peters book would offer a model of analysis to test and hopefully use. Good for newcomers to FMA
I have found Mr. Peters book excellent. I am no mathematician and still I found it easy to read. I was interested in learning about fractal market analysis and I found what I needed in this book. ... Read more

Subjects:  1. Business / Economics / Finance    2. Business/Economics    3. Chaotic behavior in systems    4. Fractals    5. Investment Finance    6. Investments    7. Investments & Securities - General    8. Marketing - Research    9. Mathematical Economics    10. Mathematics    11. Business & Economics / Investments & Securities    12. Chaos theory    13. Investment & securities   

Reviews (3)

A good introduction to the mechanical side...
It is funny that there is so much hype about Wolfram's "A New Kind of Science" when this book neatly pointed out his big 'discoveries' back in 1995.That is, all of Wolfram's opus can be found in chapter 2 of this book. Gentle introduction to nonlinear dynamics
This is a gentle introdution to nonlinear dynamics, maths are well explained, illustrations are abundant, the overview is very good overall, even if subjects are only touched. It could also serve as an introduction to finite-difference and differential equations for non-maths students. Simply an Iluminating path to Understand Nonlinear Dynamics
It happens that in any field there is a book that iluminates. This is the one in Nonlinear Dynamics. With it�s clear and simple but mathematically and conceptually rich presentation this text opens the mind towards the mathemathics that you learn in your two first University years, as aplicated to innumerable Life Science examples, but at the same time interesting for any other field�s applications (Physics, Maths, Chemists,..). This book deals with Dynamics in a Superb Way. Contents:1-Finite Difference Equations.2-Boolean Networks and Celular Automata. 3-Self Similarity and Fractal Geometry. 4-One Dimensional Differential Equations. 5-Two Dimensional Differential Equations. 6-Time Series Analysis. Apendix-A: A Multifunctional Appendix. Appendix-B: A Note on Computer Notation. Buy it, you might learn how much you can do with you mathematics knowledge! ... Read more

Subjects:  1. Differential Equations    2. Dynamics    3. Mathematical Analysis    4. Mathematics    5. Nonlinear Operators    6. Nonlinear theories    7. Science/Mathematics    8. Chaos theory    9. Fractals    10. Mathematics / Differential Equations    11. Mathematics / Mathematical Analysis    12. Mathematics for scientists & engineers   

Reviews (7)

Irritating and pointless
After reading the first three pages of the introduction, I thought "this must get better". I skipped to chapter 1 and read two more pages of vague, disconnected repetition. So I turned to Amazon reviews to see if it was worth my while to persist. It isn't. On to the next book...

Lots of speculation, no substance
The book is disjointed and speculative so that it is hard to take any of the arguments seriously. It is strange to find this in a book about science, but then perhaps it is not a science book! Some remarks comparing scientific research today with demonology several hundred years ago make you wonder. It is almost as bad as `The Web of Life' by Fritjof Capra (conversely if you liked that book, you will like this one too). Oddly enough, although the book claims not to be about Chaos but about `Universality', it is Chaos that appears in the title. I am fairly familiar with the research into chaos theory, but having read this book I still cannot really tell you what `Universality' is, other than that it seems to involve everything (!). In any case, the book presents even the better data on the subject poorly. Know it's place
Understanding why you're reading this book makes all the difference.I used this book as a carefree nightly read around an interesting topic, and it worked!Using this book to solve problems would be a mistake.There's not enough detail and it won't work.Read more

Subjects:  1. Chaos (Physics)    2. Chaos (Science)    3. Chaotic Behavior in Systems    4. Fractals    5. Intermittency (Nuclear physics    6. Intermittency (Nuclear physics)    7. Physics    8. Science    9. Science/Mathematics    10. Self-organizing systems    11. System Theory   

Reviews (3)

very complete
As I am teaching the statistical mechanics part of a graduate class in mathematics,I was looking for a textbook on complex systems & statistical physicswith derivations, intuitions, and some physical examples. I did not realize that I was looking too far --Sornette, with hom I correspond regularly, is well known for his contributions and his prolific output (actually some physicists make fun of the quantity of papers he writes). So his book did not come to mind. I once stumbled on a problem with the derivation of preferential attachments;he recommended his book, which I took with a grain a salt. After spending some time working the derivations on scalable laws, extreme value theory, renormalization groups in this book, I elected to use it as my textbook. There is no equivalent. I have a dozen such yellow manuals; this one is complete and ultimately clearest.
One of the best textbooks ever written for graduate students
Didier Sornette who is potentialy nobelisable realises with this book a great present for everybody interested to the recent progresses toward the physics of critical phenomena. A must for understanding complexity
Sornette's book is quite an achievement both in quantity andRead more

Subjects:  1. Earth Sciences - Geology    2. Game Theory    3. Physics    4. Science    5. Science/Mathematics    6. Science / Physics    7. States of matter    8. critical phenomena    9. long-range interactions    10. power laws    11. random walks    12. self-organized criticality   

Reviews (4)

Creating Fractals
The software included inthis book is retro 20 century, lame.
Disappointing book creates but does not teach fractals
I really expected better from Roger Stevens. In the past he has written some truly excellent books on computer graphics that included working code. This particular book is very elementary with only the bare bones of the mathematics of fractals being given. Most of the book just shows a picture of each type of fractal covered, a screenshot of the included application and what you should type into the application to get the resulting fractal, and some text without equations on each fractal. If you really want to learn the mathematics behind fractals you should read "Chaos and Fractals" by Peitgen, and the older "Science of Fractal Images" by the same author. Both books are accessible yet go into sufficient mathematic detail that you could write working code. The authors even offer up code examples of their own. The second book I mentioned on fractal imaging has some great code samples and mathematics for creating beautiful realistic natural scenes of forests and lakes that are completely computer generated. I notice Amazon does not show the table of contents so I do that here:
Dissaponted
I got this book to learn how to generate fractals and use the included programm to generate large images for printing. While the programm is very flexible in terms of what it generates, maximum resolution is something like 600x400. There are better books that bescribe what fractals are. This book will not help you to set up calculations on you own and it's fractal generation programm is useless for anything other that on screen display. ... Read more

Subjects:  1. Computer Books: General    2. Computer Graphics - Game Programming    3. Computers    4. Computers - Games    5. Curves    6. Fractals    7. General    8. Programming - General    9. Topology - Fractals    10. Analytic topology    11. Computers / Computer Graphics / General   

Reviews (1)

Excellent Book (By an Excellent Professor)
As a Computer Science major, and also hobbyist, I've worked with Q-Basic, C++, Java, HTML, but never had I worked with a language like J. I had enrolled in Professor Reiter's course with a moderate interest in the language and a strong interest in the math. I ended a course with a strong interest in the math and a stronger interest in using the language. Where else can you use a few simple characters with such efficiency and power? Read more

Subjects:  1. Computer Books: General    2. Computers    3. General   

Reviews (3)

Dilectant attempt
I was given this book as a Christmas present. Being a mathematician (PhD in Statistics) and a professional piano player I was interested. Unfortunately the book is very sophomoric and naive. The author has a very limited understanding both of music (e.g. Schenkerian theory) and mathematics and the results are quite dreadful. Mistakes are everywhere, the simple summary statistics and "dimensionality" parameters used by the author have very limited usefulness to "analyze" a piece of music (which is, if anything, a very complex time series and should be analyzed using time series methodologies) and are applied wrongly. To give an example: the author is so naive that he "proposes" to use the mean and standard deviation of a set of pitches derived from a piece of music to characterize it. He than wonders (sigh) how he can compare the standard deviation of pieces with different means ... . People with little mathematical background are especially warned not to buy this book because of its many mistakes and misunderstanding of fundamental musical andmathematical concepts.

A rare gem - the only book of its kind
As a fractal music hobbyist, I have been dismayed that there are so fewresources that attempt to apply knowledge of fractals to music.Many booksdevote time to the concepts of chaos - but most applications are aimed atdrawing pretty pictures.None throw more than a passing glance at musicalapplications. A disappointment
I thought the title of this book looked promising, so I bought it. I confess that I'm disappointed. The idea is nice - to use the mathematics of fractals for musical analysis. But unfortunately, throughout the book, themathematics is naive and flawed. If the level of musical analysis hadcompensated for this, I would have forgiven it, but it doesn't.Read more

Subjects:  1. Fractals    2. Instruction & Study - Theory    3. Mathematics    4. Music    5. Music Theory    6. Music/Songbooks    7. Musical analysis    8. Topology - Fractals   

Reviews (3)

Ingenious Compilation of Essential Fractals
The Geometry of Fractal Sets by Falconer is an elegant composition of many necessary fractals, measures, projections, and dimensions.Included in the monograph are the most inspiring and applicable Besicovitch fractal sets, Kakeya fractal sets, the Appolonian packing fractal, osculatory packings,horseshoe fractals, Perron trees, hypercycloids, the Nikodym set, Lebesgue measure, Hausdorff dimension, sets of integral and non-integral dimension, sets in higher-dimensions, Borel measure, binary sets, Vitali coverings, polar reciprocity, Souslin sets, sigma-fields, tangents, net measures, the semicontinuity theorems of Golab and Vishtukin, osculatory packings, diophantine approximations, Fourier series, transforms and multipliers, Brownian motion, Grassmanian manifolds.......you name it this book explains and connects it all. Introduction to geometric measure theory
This book is devoted to the hausdorf measure and Hausdorff dimension of subsets of R^n and to an extensive study of their geometry: existence of tangency, projection, etc. Onechapter deals with Besicovich sets used for constructing counter-examples, especially in Harmonic analysis. Advanced treatise on fractal geometry.
This text is a must-reading for anyone seeking advanced knowledge on fractal geometry. It is dense and deep, but clear and concise. It includes a lot of interesting material ranging from basic measure-theoretic conceptsup to the disprove of Vitushkin's conjecture. It's got an extensive list ofreferences, mostly to the original papers, making it a fundamental researchtool.Read more

Subjects:  1. Fractals    2. Geometric measure theory    3. Geometry - General    4. Mathematics    5. Probability & Statistics - General    6. Science/Mathematics    7. Set Theory    8. Topology - Fractals    9. Analytic topology    10. Calculus & mathematical analysis    11. Geometry    12. Mathematics / Differential Equations   

Reviews (1)

Expendable collection of essays
Only two chapters address fundamental mathematical-musical issues, namely decent chapters on the Pythagorean principles of consonance and scales and Helmholtz's theory of consonance. The rest of the book treats various quirky side topics, many of them trying in more or less contrived ways to force mathematical ideas (magic squares, finite projective planes, fractals, the Erlanger Programm, etc.) into a musical setting. Personally, I was amused by chapter 7 on bell-ringing: a bell-tower has a few different bells and of course "an evening spent playing unchanging rounds might be considered uneventful", so we wish to change the ringing order of our bells, but "because bells are heavy and slow" we are limited to changing the order one adjacent pair at a time, and so eighteenth century bell-ringers developed a sophisticated understanding of symmetric groups generated by transpositions, which we can now illustrate with modern concepts and Cayley diagrams and so on, only to conclude that the ringers "had been doing 'group theory' and 'ringing the cosets' all along". That's about as good as it gets. The book as a whole suffers from many shortcomings including lack of depth (e.g., chapter 2 on Kepler's musical cosmology doesn't contain a single line of mathematics), lack of breadth (e.g., Fourier analysis is not even in the index), and lack of originality (e.g., chapter 4 consists of recycled Ian Stewart material which in turn was mostly recycled Barbour material, down to consistent misspelling of the main character's name). ... Read more

Subjects:  1. General    2. History & Philosophy    3. Instruction & Study - Theory    4. Mathematics    5. Science/Mathematics    6. History of science    7. Mathematics / General    8. Mathematics | Pure Mathematics    9. Music   

Subjects:  1. Chaotic Behavior in Systems    2. Dynamics    3. Fractals    4. Mathematical Physics    5. Mechanics - Dynamics - General    6. Science    7. Science/Mathematics    8. Chaos theory    9. Dynamics & vibration    10. Science / Mathematical Physics   

Subjects:  1. Computational complexity    2. Fractals    3. Geometry - Analytic    4. Geometry - General    5. Logic    6. Mathematics    7. Moduli theory    8. Riemannian manifolds    9. Science/Mathematics    10. Topology - General    11. Geometry    12. Mathematics / Geometry / General   

Reviews (3)

Great book on fractals and imaging
This old book is a timeless gem. It goes into the details of the mathematics of fractals and also shows well-commented C code for producing fractal imagery along with good color illustrations.
One of the best (if no the best) in the feild
You cant go past this book, A must
In my opinion, the best work ever written in the category not-for-beginner-but-available-to-non-specialist (such as Beauty of Fractals, by the same authors). An easy answer to question "How can Igenerate a fractal image with my PC?", from brownian motion to Juliasets. A must for reader interested in fractals (a bit out-of-fashion butstill very interesting field). ... Read more

Subjects:  1. Computer Graphics    2. Computers - Languages / Programming    3. Fractals    4. General    5. Geometry - General    6. Mathematics    7. Programming Languages - General    8. Science/Mathematics    9. Topology    10. Mathematics / General    11. Mathematics and Science   

Reviews (3)

A clear warning to all those financial analysts using N(0,1)
This book deserves to receive 6 stars.Mandelbrot serves up overwhelmingempirical,statistical,and historical evidence that financial decision makers are dead wrong in assuming,contrary to the available evidence, that a normal probability distribution describes the outcomes accurately in financial markets .In fact,the Cauchy distribution is substantially more relevant than the normal distribution.Mandelbrot's work simply means that the standard theoretical models taught in all colleges and universities,the CAPITAL ASSET PRICING MODEL(CAPM) and the BLACK-SCHOLES equation,give correct answers if and only if the relevant probability distributions about the movement of prices in financial markets over time are all normal.However, the evidence shows that they are NOT normal.Mandelbrot confirms ,by massive data analysis, Keynes's original 1921 objections to the misuse in application of (by merely assuming the applicability of such a distribution without examining the actual data)the normal probability distribution made in chapters 29 and 30 of the A Treatise on Probability(1921).Unfortunately,it appears that little,if any ,of Mandelbrot's scientific approach and analysis is being integrated into economics and finance.

scientific way of evaluating price movement
in this book, Mandelbrot is trying to prove that first, the price movement's distribution is scaling invariant, meaning a security's log price-change's distribution is same as with its 5-min's or with its daily's(or even monthly); second, price movement is not purely random/normaldistribution/brownian/random walk on street(they are all same description), meaning if u use normal distribution as one of ur bases for ur model, u will not only be theoretically wrong, but also be punished in real-life trading, such as the case of long-term capital. third, price movement does have cycle, but it length can not be determined in trading time, meaning u will not be able to decide when those cycles are going to start or end; fourth, changes of price movements do concentrate, meaning big moves will happen continouesly, or very closely to each other. the major implication to me is that many current financial theories are wrong, specially, those using normal distribution(such as option model) as basic assumption for security price movement. it also may prove that some of current price-based models(such as some trend following system) have some merit. but manay systems based on channel(such as bollinger bands)will not work in long-run. with those in mind and many available mathematical tools, one should be able to build a good financial model.

A book to make you think differently about the markets
To read this book you need truly to understand math and the markets. There is no questions that Mandelbrot is one of the greatest figures of our time. What he claimed based on his studies on cotton trading in the early 60s might not be close to the reality of today, but the way he approached it makes you think twice about the markets. Cotton trading is so different from stock market trading because it is either spoting trading or futures trading, and it is based on margins. The market usually has poor liquidity and with few players in it. The conclusions the book made could poorly extend to the general markets. The hard-to-follow math notations kept distracting me from following the main subjects. Anyway, this book will teach you something new, but you have to understand math and the markets, deeply. ... Read more

Subjects:  1. Accounting - General    2. Business & Economics    3. Business / Economics / Finance    4. Business/Economics    5. Economic Statistics    6. Finance    7. Financial Economics (General)    8. Fractals    9. Scaling (Social sciences)    10. Statistical methods    11. Business & Economics / Finance    12. Business & Economics-Accounting - General    13. Econometrics    14. Probability & statistics   

Subjects:  1. Inhomogeneous materials    2. Nonlinear Optics    3. Optical properties    4. Optics    5. Physics    6. Science    7. Science/Mathematics    8. Composites    9. Dielektrika    10. Nichtlineare Optik    11. Optics (light)    12. Science / Physics   

Subjects:  1. Data processing    2. Engineering - General    3. Fractals    4. Language    5. Language Arts & Disciplines    6. Speech    7. Speech processing systems    8. Technology & Industrial Arts    9. Audio processing: speech recognition & synthesis    10. Engineering: general    11. Language & Linguistics    12. Signal processing    13. Space science & technology    14. Technology / Engineering / General   

Subjects:  1. Calculus    2. Mathematics    3. Science/Mathematics    4. Calculus & mathematical analysis    5. Chaos theory & fractals   

Reviews (4)

Connecting Africans ancient and modern
This is an amazing book! It clearly shows how many of the common things that people of African descent do have may scientific connections.Hair styles that are worn today by people of African descent, have been worn as far back to the ancient indigenous Africans known as the ancient Egyptians.So it really no surprise that there is mathematical and scientific knowledge being found today by scientist and scholars. This book helps to render obsolete long-held myths.
Ron Eglash's brilliant work on Afrikan fractals helps to shatter long-held myths and misconceptions about Afrikans, the most pervasive and pernicious of which is the notion of Afrikans (both on the Motherland and in the Diaspora) as inactive agents in history. This work motivated me to complete mine on chaos theory and Afrikan fractals. My longer reviews of Eglash's book appear in the Nexus Network Journal (vol. 2, 2000:165-168) and the Journal of Third World Studies (vol. xviii, no. 1, 2001:237-239), each reflecting the publication's genre and disciplinary focus. Dr. Abdul Karim Bangura is a researcher-in-residence at the Center for Global Peace and a professor of International Relations in the School of International Service at American University, and the director of The African Institution in Washington, DC. He is the author of 21 books and more than 200 scholarly articles.

An ingenious first, recognition of 'African' Maths.
This is a brilliant book. As an Architect, I was truly enlightened by the idea of the 'other' culture(s), having a valid scientific basis in fact. I was always told in Architectural school that the 'Africans',(includingthose in the diaspora) were a peoples without and writing systems,technological background and no culture. I'm glad to see evidence that thisis not the truth. I thank the author for his contribution. ... Read more

Subjects:  1. Africa    2. Anthropology - Cultural    3. Ethnomathematics    4. Fractals    5. General    6. Mathematics    7. Science/Mathematics    8. Social aspects    9. Topology - Fractals    10. Cultural studies    11. Geometry   

Reviews (1)

This is book is on target
This book is on target for those who would like to learn the application of wavelet theory in image processing, which is an exciting field waiting for more people to explore. The applications of wavelet theory is numerous,but this is a hard-to-find book that concentrates on image processing, itworths a trial. ... Read more

Subjects:  1. Digital techniques    2. Fractals    3. General    4. Image compression    5. Image processing    6. Imaging Systems    7. Mathematics    8. Science/Mathematics    9. Technology    10. Technology & Industrial Arts