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Fractals, Chaos, Power Laws: Minutes from an Infinite Paradise (Dover Books on Physics) Paperback – 1 Jan 2009

4.0 out of 5 stars 2 customer reviews

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Product details

  • Paperback: 448 pages
  • Publisher: Dover Publications Inc. (1 Jan. 2009)
  • Language: English
  • ISBN-10: 0486472043
  • ISBN-13: 978-0486472041
  • Product Dimensions: 15.5 x 2.5 x 23.1 cm
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Bestsellers Rank: 470,192 in Books (See Top 100 in Books)
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Product description

About the Author

A pioneer in the artistic potential of computer graphics, Manfred Schroeder is a world-renowned expert in acoustics. He served as a distinguished member of the research staff of AT & T Bell Laboratories for 33 years and is Professor Emeritus at the University of Goettigen, Germany.
Manfred Schroeder: Making Order Out of Chaos
Manfred Schroeder (1926–2009) was a German physicist who divided his professional time between Bell Labs and The University of Gottingen. He was a world-renowned authority on acoustics and held numerous patents in many fields. Fractals, Chaos, Power Laws: Minutes from an Infinite Paradise, reprinted by Dover in 2009, is a feast for the reader with a grasp of algebra and some calculus. He or she will find much to enjoy and think about between the covers of this unique book.
Critical Acclaim for Fractals, Chaos, Power Laws:
"Readers of James Gleick's 1989 bestseller, Chaos, The Making of a New Science, will find the revolution predicted there in full swing in this advanced look at 'self-similarity,' one of chaos theory's most appealing applications. Self-similarity in computer graphics yields the awesome fractal mountain patterns that have made chaos a visible theory for many nonmathematicians. Readers with good command of calculus and some physics will appreciate how far chaos theory has penetrated theoretical physics, biology and the practice of research as described in puns, illustrations and puzzles by this 20th-century Lewis Carroll. Without those skills, however, readers may stand like Alice before a small door that opens on strange new wonders of the physical world, the extended horizons of number theory and advanced math recreation." — Publisher’s Weekly
"As notable as the book's broad sweep is the author's good-natured, humorous presentation. The willing reader can sit back and enjoy an all-encompassing, irrepressibly enthusiastic tour, ranging from psycho-physics to quasicrystals, from gambling strategies to Bach concertos, from the construction of Cantor Sets to the design of concert halls" — Physics Today
"Such a richness of topics and amazing splendor of illustrations." — Mathematics Magazine

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Top Customer Reviews

Format: Paperback
The best introductory book on fractals and chaos. It has a breath-taking wealth of topics, complete with the intuition behind them, the formulas, the drawings and pictures. A 'must read' for anyone who wants a serious introduction to these fascinating topics.
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Format: Paperback
A math teacher recommended me this book long ago and I agree this is a good recommendation! Good book for those who want to take an insight in fractal and chaos concepts.
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Most Helpful Customer Reviews on Amazon.com (beta) (May include reviews from Early Reviewer Rewards Program)

Amazon.com: 4.4 out of 5 stars 63 reviews
5.0 out of 5 stars Hold On! Even you flapping your arms can change the Universe. 4 Jun. 2017
By Allen Conti - Published on Amazon.com
Format: Paperback Verified Purchase
The Change of State from order to disorder is here-in presented. Excellent read to introduce, then induce you to pursue this emerging understanding of the Reality in which we live. But remember this while reading, CHAOS does not mean indeterminate, or without order: It is more about simultaneous states and the demonstration of their occurrence.
5 of 6 people found the following review helpful
5.0 out of 5 stars A Chaotic Heaven 10 Feb. 2008
By Mathew Titus - Published on Amazon.com
Format: Paperback Verified Purchase
What a head-trip! While the Pearly Gates of Paradise may be more than a few minutes away, you are almost certain to enjoy the journey with this book in hand. I purchased this book from Amazon back in 2002 and apart from the curling cellophane-coated front cover, I have nothing but praise for it. It simply gets better, every single time I read it - not unlike sipping some fine vintage even as it ages.

It must be difficult to write a book on a subject so intrinsically mathematical while retaining a healthy, comprehensible tone with a twist of the ridiculous. Schroeder has an enviable sense of comic timing in addition to his peculiarly personalized insight into the world of Number Theory. It is pretty amazing, considering the broad and variable scope of his exposition that the entire opus did not descend into an inexorable chaotic mess of formulae. He skillfully manages to avoid the quagmire of complexity by properly abbreviating lengthy explanations with diagrams, pretty color prints and even the occasional cartoon aside. This leaves him enough time for the most engaging (not to mention informative) anecdotes which allows him to bring the reader into certain obscure fields of research - bilingual poetry, cheating at roulette and on how to kill Germans with Gift(s) - so to speak.

Do not be fooled by the casual tone of the book because this is anything but a cursory tour. In fact, if this is your first encounter with Chaos and Fractals, it may be better to have more than one supplementary text at hand. (I suggest Peitgen, Jurgens and Saupe's Chaos and Fractals: New Frontiers of Science.) Schroeder's book is written for serious students, who want to see some practical (and sometimes not-so-practical) applications of what were once mere mathematical monstrosities. Neither Weierstrass nor Cantor could have predicted that their little monsters would turn out to dominate the physical world. This book gives you an insightful look at how far non-differentiable functions have come since those early pioneering days.

Go ahead and buy this book. It is what every scientific book should aspire to be - brilliant and funny (exactly in that order!)
40 of 42 people found the following review helpful
5.0 out of 5 stars A comprehensive introduction to chaos in two levels 16 Mar. 2002
By josech - Published on Amazon.com
Format: Paperback Verified Purchase
This book can be read in two different ways:
The first one is intended for the uninitiated who wants to get an introduction to chaos and fractals; the way Schroeder guides you into the chaotic phenomenae that occur everywhere around us is clear, elegant and funny. He plays with chaos and makes the reader part of this game.
The second way to read this book includes a warning for scholars: This is not a textbook! The mathematical background used to explain this game is strong. Shcroeder lets the committed reader to work with the maths by himself, so you must have paper, pencil, and computer near to you in order to enjoy the book's whole potential, in this case Shcroeder has all the experience and knowledge on the matter to guide you through "this infinte paradise" in a very firm way.
The only thing I'd wish from this book was a new hardcover edition, I've read it so many times that my copy is getting very spoiled.
If you are still interested after reading this book, but you want a little help with your maths then I'd recommend "Chaos Theory Tamed" by Garnett P. Williams. It will do the trick. However if you just want to fall in love with chaos without complications, then you should read "Chaos: The Making of a New Science" by James Gleick.
5.0 out of 5 stars Five Stars 20 April 2017
By L. Pitts - Published on Amazon.com
Format: Paperback Verified Purchase
Excellent book!
1.0 out of 5 stars It is not good enough to be a stand alone book to use ... 31 Aug. 2016
By Elizabeth A Norris - Published on Amazon.com
Format: Paperback Verified Purchase
This is more of a reference/supplemental book then a textbook. It has quite of bit information. It is not good enough to be a stand alone book to use as a textbook for a class.
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