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Kurzbeschreibung
"Divine proportion" or "golden ratio" in poetry, Pascal's triangle, philosophy, psychology, music, mathematical figures, etc. Excellent bridge between science and art. 58 figures.<BR>
Synopsis
Explores the aesthetic, emotional, artistic and philosophical significance of geometric figures, scientific patterns and mathematical formulas.
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Einleitungssatz
Before launching out on our main topic, beauty in mathematics, it will be worth while to convince ourselves that the effort required to learn to appreciate aesthetic values is justified by the pleasure it offers. Lesen Sie die erste Seite
Buchdeckel | Copyright | Inhaltsverzeichnis | Auszug | Stichwortverzeichnis | Rückseite
Before launching out on our main topic, beauty in mathematics, it will be worth while to convince ourselves that the effort required to learn to appreciate aesthetic values is justified by the pleasure it offers. Lesen Sie die erste Seite
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Buchdeckel | Copyright | Inhaltsverzeichnis | Auszug | Stichwortverzeichnis | Rückseite
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Format:Taschenbuch
This book is perfect if you enjoyed the movie Pi and want to learn more, or if you are researching connections between math and religion, art, quality (per R. Pirsig), or aesthetics. One downer is that Huntley tries, and fails, to explain how math can be beautiful just like poetry can be beautiful. I personally think that you either dig math or you don't. Huntley should assume that anyone reading his/her book is at least interested and therefore skip the "math can be pretty too" lesson. Beyond that, though, the book is a thorough introduction to phi and the golden ratio. Huntley more than makes up for his mentioned faults by providing numerous equations, proofs, plots, and diagrams. The math level is pre-calculus with emphasis on geometry. I recommend reading this with plenty of scratch paper handy so that you can work along with the text and prove to yourself how deep this rabbit hole goes.
Format:Taschenbuch
Can one write a whole book about a number? Well this book is basically about the golden ratio ( [1 + sqrt(5)]/2 = 1.618...]), usually represented by the greek letter "phi" (and I'll refer to this number here as phi). The book gives tons of examples where phi shows up, and it does amazingly show up in places where one might never expect it. But the book isn't just a pile of examples. As the title implies, it is also about math and aesthetics. There are some interesting historical notes and art/aesthetics commentaries from the author. Huntley proposes (and I might be oversimplifying a bit here) that phi is a universal number of beauty, since it manifests itself in many aesthetically pleasing things, from patterns in nature to famous artwork and architechture. He also points out lots of purely mathematical curiosities of phi (like the connection between it and the fibonacci sequence, continued fractions, etc.)
My only complaints is that there are a few connections that seem far-fetched. Again, the book _is_ filled with plenty of amazing examples where phi shows up, including many places where one might least expect it. But really, not every sighting of "1.6" calls for a cry of "eurika"! (And oddly enought, at some point the author criticizes the ancient Greeks for once acting like that!) The section on music had some flaws and really far-fetched claims, which is too bad, since I've always loved researching the math/music connection.
But over all, the book does leave me wondering why Pi should get all the fame.
Format:Taschenbuch
The "divine proportion" is the positive solution of x^2 = x+1. Many of its 'amazing' properties follow from this definition; substitute x=(divine proportion) into any polynomial and it'll reduce to number+number*(divine proportion). Anyway, the author is _constantly_ exclaiming how amazing and beautiful and awe-inspiring his subject is. I like an author to be enthusiastic, but when I bought this book I was tempted to staple together the groups of pages that go on and on about this, quoting sonnets, etc, so I could find the math more easily.
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