Symmetry |  | Author: Hermann Weyl
Publisher: Princeton University Press
Category: Book
List Price: $19.95
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Seller: hallstreetbookstore
Rating:  8 reviews
Sales Rank: 217,025
Media: Paperback
Pages: 176
Number Of Items: 1
Shipping Weight (lbs): 0.5
Dimensions (in): 8.3 x 5.4 x 0.5
ISBN: 0691023743
Dewey Decimal Number: 701.17
EAN: 9780691023748
ASIN: 0691023743
Publication Date: January 1, 1983
Availability: Usually ships in 1-2 business days
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Product Description
Defines symmetry through a discussion of its many uses in a wide variety of fields both academic and natural.
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| Customer Reviews:
Showing reviews 1-5 of 8
Ornamentation and its mathematical basis July 22, 1998
henrique fleming
46 out of 46 found this review helpful
This delightful booklet motivates the study of symmetry by showing its presence in art and nature. This is a work of love, frequently bordering poetry. Yet, it is a scientific book of high class. Hermann Weyl, one of the very great mathematicians of this century, then explains the mathematics behind symmetry, mostly group theory, and obtains all forms that, by repetition, completely fill the plane and the space (the crystallographic groups). This is wonderful reading. After it, the reader should be prepared for a beautiful recent discovery by R. Penrose, that there are aperiodical forms that completely fill the space, and, still more surprising, that Nature makes use of them. They are the quasi-crystals (not treated in Weyl's book, of course).
An excellent introduction to the concept of symmetry June 6, 2006
Charles Ashbacher (Marion, Iowa United States(cashbacher@yahoo.com))
4 out of 4 found this review helpful
Symmetry is a fundamental characteristic of most living creatures, some natural features such as crystals, the basis of some mathematical models and a beautiful form of art. Most animals possess a form of bilateral symmetry, with only minor differences our right and left sides are mirror images of each other. Weyl gives examples of all of these types of symmetry, images with text explaining the details regarding the symmetry of the object.
At the end, he gives the mathematical explanations of the symmetries, how they can be combined into the construct known as a group. The symmetries can then be sequentially combined to perform multiple actions and generate other actions. This dual examination provides a great deal of insight into the idea of symmetry. Biologically, it is clear that there must be powerful evolutionary advantages to symmetry, as it is universal in the animal kingdom. Humans also have a natural affinity for symmetric objects, as symmetry is a universal theme in the art work of cultures with little or no contact between them.
Weyl has written an excellent introduction to the concept of symmetry. It is an idea that is easy to understand and the different motions of a symmetric object are a very good way to begin the study of group theory. Artists can also obtain some benefit from the additional knowledge of symmetry that they will get from this book.
a difficult but rewarding introduction to mathematical symmetry and some of it's applications January 11, 2008
Patrick Regan (Northampton, MA USA)
4 out of 4 found this review helpful
Symmetry is about the mathematical underpinnings of symmetry as it appears in nature and art. The book is divided into 4 sections, the first Bilateral Symmetry covers reflection. This lecture goes into biology and art. The next lecture is about rotational symmetry. I was able to follow the math presented in this lecture but had trouble in the 3rd lecture titled Ornamental Symmetry. Ornamental symmetry is mostly about tilings of the plane. There is a lot of math presented in this lecture. I had to fall back on my rudimentary knowledge or abstract algebra and linear algebra to understand it. My point is that without this knowledge this lecture and the next one The General Idea of Mathematical Symmetry would have been impossible for me to follow. However, I still recommend this book to people who don't have any of the above background. Symmetry covers the concepts behind symmetry well, and it's applications to nature and art can be followed by anyone.
Deep and Insightful Book October 19, 2008
Giant Panda (Washington, DC)
2 out of 2 found this review helpful
I thoroughly enjoyed reading this book. It offers very deep insights on the use and implications of symmetry, not only in art, but in physics, chemistry, and other sciences. It also provides a comprehensive mathematical treatment at an accessible level. The reason I did not give it a full 5 stars is that sometimes the mathematical steps were not fully spelled out, or the explanation was vague, so a few passages left me wondering what he really means. More examples, figures, and details would have helped. Still, it was an exciting read - for the first time I really understood the theory of relativity and what it means in terms of symmetry. The author also impresses with his breadth of knowledge, being equally comfortable with the latest mathematical methods as he is with historical development of the field, all the way back to the Egyptians and Greeks. The book is fairly slim and I read it fast, yet learned a lot.
Overall summetry March 27, 2010
Panagiwtis (athens greece)
1 out of 1 found this review helpful
Very well written introductory book to symmetry-group theory notions
concise and thought provoking lacking some modern notions and strong mathematical deductions
Can be read from high scool students
an easy pace book ideal for a first contact with the subject
Showing reviews 1-5 of 8
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