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The Parsimonious Universe: Shape and Form in the Natural World

Free Download The Parsimonious Universe: Shape and Form in the Natural World

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Review

"The numerous carefully chosen illustrations, the witty quotations opening each chapter, but especially a perfect way of explaining things - all these make the book really attractive." EMS Newsletter

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About the Author

Stefan Hildebrandt is currently professor of mathematics at the University of Bonn.

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Product details

Hardcover: 330 pages

Publisher: Copernicus; 1996 edition (July 18, 1996)

Language: English

ISBN-10: 0387979913

ISBN-13: 978-0387979915

Product Dimensions:

8.5 x 1 x 9.8 inches

Shipping Weight: 2.2 pounds

Average Customer Review:

5.0 out of 5 stars

1 customer review

Amazon Best Sellers Rank:

#1,492,541 in Books (See Top 100 in Books)

Soap bubbles, hanging cables, tent-like structures in modern architecture, animal forms and more. All these share a common principle which involves minimizing something-usually an energy principle. This book explores the mathematics behind these.Soap bubbles are spherical, of course. But ask yourself why. And consider what other shapes are possible if the bubbles are restricted in some way -for example, if one side touches a plane. In the book, we see beautiful photograpphs of soap bubbles along with discussion of mathematical attempts (some still unsuccessful) to describe these shapes.As the first reviewer mentioned, artists can benefit from the ideas and structures in the book. Mathematically minded persons will also find the book very interesting. I have some minor criticisms: The intro chapters on history were too long and covered basic ideas that are well known to almost anyone reading this book. Also, a key principle involves the calculus of variations. More could be done to make clear what this means. Yet, overall, the authors are successful in going from experiments with soap bubbles to mathematical theory to aesthetic values and back and forth.The chapter near the end on optimal design is excellent. I highly recommend this book.

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The Parsimonious Universe: Shape and Form in the Natural World PDF

The Parsimonious Universe: Shape and Form in the Natural World PDF