Chaos and Fractals: New Frontiers of Science by Heinz-Otto Peitgen (PDF)

Description

The fourteen chapters of this book cover the central ideas and concepts of chaos and fractals as well as many related topics including: the Mandelbrot set, Julia sets, cellular automata, L-systems, percolation and strange attractors. This new edition has been thoroughly revised throughout. The appendices of the original edition were taken out since more recent publications cover this material in more depth. Instead of the focussed computer programs in BASIC, the authors provide 10 interactive JAVA-applets for this second edition.

User’s Reviews

Editorial Reviews: Review “It is relatively discursive and easy to read, with each chapter telling a coherent story, and it highlights the key concepts and ideas, examining a few models in detail and using worked numerical examples as well as visualisations and illustrations … . makes an excellent entry to the broader mathematics of fractals and chaos, especially for students who are curious about the details as well as the core concepts but don’t want to get bogged down in formal mathematics.” (Danny Yee, Danny Yee’s Book reviews, February, 2016)”It is one of the best introductions to chaos and fractals around. … Unlike some other books on fractals, it can be read by non-specialists … . The book is beautifully produced and well illustrated so it is a pleasure to read.” (Hugh Williams, The Mathematical Gazette, Vol. 90 (5l9), 2006)”The first edition of this vast introduction to chaos and fractals appeared in 1992. This new edition is virtually identical to the original except for some material … . the book is … a wonderful tour of a fascinating area of mathematics, and now the reader can take this tour while carrying around a slimmer (but still hefty) volume. … The authors have a friendly conversational style … . This is a great book … .” (Raymond N. Greenwell, MathDL, May, 2005)”Chaos and Fractals: New Frontiers of Science is an amazing introduction to the ideas of fractal geometry and chaotic dynamics … . The authors have done a tremendous job in explaining quite difficult concepts in an elegant and simple way … . I enjoyed this book tremendously – the authors have put in a tremendous amount of work in making a vast and interesting subject accessible … . I wholeheartedly recommend this book to anyone with even a passing interest in the subject matter.” (Dr. S. Virmani, Contemporary Physics, Vol. 46 (6), 2005)”There appeared many books in the 1980’s and early 1990’s that … required only a limited mathematical background to understand. They made the fractals, chaos and the Mandelbrot and Julia sets quite popular … . The … book that is under review here is one of these popular books. … The book will remain what it has been so far: an outstanding book that contains all you ever wanted to know about fractals and chaos accessible to all levels of mathematically skilled.” (Bulletin of the Belgian Mathematical Society, Vol. 12 (3), 2005)”The book is written for everyone who wants to learn details of chaos theory and fractal geometry, also for readers who have not much knowledge of technical mathematics. In the fourteen chapters the central ideas and concepts of chaos and fractals are developed … .” (F. Haslinger, Monatshefte für Mathematik, Vol. 144 (4), 2005)”This is the second … edition of what has been a bestseller since its first publication in 1992. … All the laudatory comments heard twelve years ago about this fascinating book remain entirely valid. No one has succeeded in better presenting … . the presentation has not aged at all – the comprehensiveness of the underlying mathematics and the illustrative power of the figures has never been surpassed. Twelve years after its first edition this book remains a must buy.” (André Hautot, Physicalia, Vol. 57 (3), 2005)”Numerous books have appeared in recent years that either explore the beauty of fractal art, describe techniques for its creation, or investigate some aspect of the related field of chaotic behavior. The present work attempts to accomplish all three goals in one huge volume…the authors should be applauded for their ambitions undertaking.” Mathematical Reviews”This book … contains all one ever wanted to know about fractals, and more. Written by–next to Mandelbrot–the greatest popularizer of the concept of fractal geometry … It contains a wealth of information on nearly every angle of the topic… I enjoyed reading the book for its lucid approach, its attempt at completeness, and especially, for the large number of illustrative figures and pictures.” Zentralblatt Mathematik

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Thanks to S.J. Will for the tip: Get the FIRST edition (used), as I did and save more than half the price, even of a used copy of this newer edition. Can’t compare the two (having not seen the new one) but I can say the color images are very sharp in the older book. As far as content, I too have looked at and bought several books trying to understand fractals. (I am not math-literate, beyond high school algebra.) I found this book most helpful, but NOT easy for the general reader, beyond the first few, introductory pages. As other reviewers have noted, most of it is WAYYYY over the head of anyone who’s not a college math major, but skipping through the examples and exercises (some of which are very rewarding if you can stay with it), I found the general explanations, the excitement of the authors, the broader significance of fractals all to be well-worth the price. — And hey: at over 900 pages ( ! ) and with FORTY color plates, this book is an astounding bargain. Strongly recommended, even for novices.”The Colors of Infinity,” based on the video documentary by Arthur C. Clarke is a good introduction to fractals. An enjoyable DVD is included of the original TV program, especially if you learn better by watching and listening. The accompanying animated fractals are fascinating, but frustratingly poor resolution. For a more philosophical approach to fractals, I highly recommend “Heaven’s Fractal Net” by William Jackson.

⭐I found the 1992 edition of this book at my local public library, and was (like all the other reviewers here) very impressed at the quality. The book deals with a highly technical subject, but does it in a way that you can follow even if you don’t have advanced math training. The numerous color plates were also very beautiful. And to top it all off, there were “do it yourself” exercises at the end of the chapters, showing you how to program your computer to run these figures! OK, they use the old BASIC language, but still the code is clear enough that you can follow it and see what’s really going on with these equations.So I was so pleased to see a copy of the updated edition at a bookstore. In particular, I was eager to see if they’d updated those “do it yourself” exercises for use with EXCEL. However, as I read through it I was disappointed to notice two changes from the previous edition: first, all of the programming examples had been eliminated; second, the print quality of the color plates was noticeably poorer. And I didn’t see much new material added – in fact one of the reviews above observes that the text itself is virtually unchanged. Considering the steep price of this tome, these were significant points to consider. Used copies of the old edition cost under 20 bucks, and IMHO are a better deal (I ended up buying one). So if you’re ready to buy, just do yourself (and your wallet) a favor and compare the two editions first.

⭐This book is a great entertainer for anyone who wants to spend many evenings “playing with chaos”. The code in the book is a little dated (BASIC), but you won’t have problems to use it as a good reference. The book will guide you through the understanding of the exciting realm of chaos and its hidden monsters.Chaos and fractals are subjects that sound modern, interesting and eye-catching in the most of the cases. However, the applications and implications of chaos in the real world constitute the great achievement of human knowledge that the concept represents.The lecture of this book doesn’t require an extensive knowledge of math (but it would be helpful), it requires many will and passion for rediscovering your conception of the universe instead.Before reading this book I’d recommend “Chaos: the Making of a New Science” by James Gleick and for those who are looking for a more compact but challenging material “Fractals, Chaos, Power Laws: Minutes from an Infinite Paradise” by Manfred Schroeder will be just fine.

⭐This book is a dream come true.No other publication comes close to such complete coverage of the subject.It is highly readable even for a novice like myself.It has been a great joy to me.Many thanks to the authors for doing such a great job.

⭐This book has been and is a valuable part of anyone’s chaos theory/fractal geometry library. This book alongside The Fractal Geometry of Nature are a solid foundation, accessible and well illustrated, for the understanding of the subject. A must have!

⭐Okay….1. Have an understanding of math.2. I am manic.3. Supplementary and research may be necessary.Great book with complex topics.with a firm understanding in analysis, geometry, and algebra this is very enjoyable.

⭐The content is full and easy to understand. It is perfect reference book for the beginner, as I am. I would willingly recommend it to everybody who is interested in the subject.

⭐This book is a combination of a detailed summary combined with a light mathematical text. I wouldnt say this is a mathematical text book where you can seriously study the topic as there are no problems to solve.It reads well if you are looking for the conversational side of the subject.If you are planning on really studying the topic i suggest Faulker’s text.

⭐As many reviewers said, the book is an excellent work. But beware of the fake books at high price in circulation. I ordered this book two times from amazon sellers but each time received fake books. The original book has 40 color illustrations out of 606 and is printed on acid free paper. In the fake copies all pictures are black and white and the paper is just ordinary.

⭐This book is very nice. Each and every thing is explained in simple word. This book is very nice. Each and every thing is explained in simple word.

Keywords

Free Download Chaos and Fractals: New Frontiers of Science in PDF format
Chaos and Fractals: New Frontiers of Science PDF Free Download
Download Chaos and Fractals: New Frontiers of Science 2004 PDF Free
Chaos and Fractals: New Frontiers of Science 2004 PDF Free Download
Download Chaos and Fractals: New Frontiers of Science PDF
Free Download Ebook Chaos and Fractals: New Frontiers of Science