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The Parsimonious Universe: Shape and Form in the Natural World, by Stefan Hildebrandt, Anthony Tromba
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Why does nature prefer some shapes and not others? The variety of sizes, shapes, and irregularities in nature is endless. Skillfully integrating striking full-color illustrations, the authors describe the efforts by scientists and mathematicians since the Renaissance to identify and describe the principles underlying the shape of natural forms. But can one set of laws account for both the symmetry and irregularity as well as the infinite variety of nature's designs? A complete answer to this question is likely never to be discovered. Yet, it is fascinating to see how the search for some simple universal laws down through the ages has increased our understanding of nature. The Parsimonious Universe looks at examples from the world around us at a non-mathematical, non-technical level to show that nature achieves efficiency by being stingy with the energy it expends.
- Sales Rank: #1545342 in Books
- Brand: Brand: Copernicus
- Published on: 1996-07-18
- Released on: 1996-07-18
- Original language: English
- Number of items: 1
- Dimensions: 9.00" h x .82" w x 7.39" l, .0 pounds
- Binding: Paperback
- 330 pages
- Used Book in Good Condition
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
About the Author
Stefan Hildebrandt is known for his work on the calculus of variations and minimal surfaces. He has held faculty positions both in the U. S. and in Europe, and he is currently Professor of Mathematics at the University of Bonn.
Anthony Tromba is Professor of Mathematics at the University of California, Santa Cruz, and is widely recognized for his work on minimal surfaces and nonlinear functional analysis.
Most helpful customer reviews
12 of 13 people found the following review helpful.
A great reference and resource guide for artists
By A Customer
If any artists are exploring reference material on shape, form and
design in nature, this book explains why nature does 'create' it's
unique self.
It does tend to explain and breakdown natural shapes into mathematical
equations and theorims. Still the photos they provide and
the line drawings help you to understand why things are the
way they are. Useful if you want to create hybrids of these
forms. A intelligent imagination is useful.
My applications for this are from a 3D fine arts point of
view. The info in the book has provided me with inspiration
in my 3D artwork.
Sincerely
Andre Ribuoli
dreko@aol.com
1 of 1 people found the following review helpful.
for artists, mathematicians and those who love to play with soap bubbles
By Steve Brosnan
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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