Chaos and fractals
by Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe · first published 1992
80% recommend20% neutral
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 focused computer programs in BASIC, the authors provide 10 interactive JAVA-applets for this second edition.
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In early high school in the 90s, I got my parents to buy me an (expensive) copy of Chaos and Fractals: New Frontiers of Science by Peitgen, Jurgens, Saupe. The end of each chapter was a Basic program for calculating and displaying various fractal/chaos theory images, and that's what got me started programming.…
on “Ask HN: Math books that made you significantly better at math?” ↗Sooo many good books! I'm exhausted! Here are some good ones: MPEG Video Compression Standard: http://link.springer.com/book/10.1007/b115884 Chaos and Fractals: http://link.springer.com/book/10.1007/b97624 Proofs from THE BOOK: http://link.springer.com/book/10.1007/978-3-662-05412-3 Joel on Software: http://link.springer.com/book/10.1007/978-1-4302-0753-5…
on “Springer Textbooks More Than 10 Years Old Available for Free Legal Download” ↗"Chaos and Fractals", a huge tome of a book , from the 1990s, is an incredible book to learn about Feigenbaum's work and others. The programming language it uses is rather obsolete, but it's such a wonderful book for a motivated…
on “Mitchell Feigenbaum (1944–2019), 4.66920160910299067185320382…” ↗…system behaves chaotically for the time evolution of the system since, again, the system is deterministic. I'm also not sure if the book answers your question(s) on this apparent aymmetry aspect, but Chaos and Fractals by David Feldman is a fantastic introduction to these topics with lots of good pictures. It is not a proof-based book, but it does include mathematics at manageable level. The book gives a great introduction…
on “Symmetry in Chaos” ↗Beauty of Fractals: http://link.springer.com/book/10.1007/978-3-642-61717-1 Chaos and Fractals: http://link.springer.com/book/10.1007/b97624
on “Springer Textbooks More Than 10 Years Old Available for Free Legal Download” ↗