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Symmetry (Princeton Science Library, 47) Reprint Edition

by Hermann Weyl (Author)
4.2 4.2 out of 5 stars 52 ratings
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Symmetry is a classic study of symmetry in mathematics, the sciences, nature, and art from one of the twentieth century's greatest mathematicians. Hermann Weyl explores the concept of symmetry beginning with the idea that it represents a harmony of proportions, and gradually departs to examine its more abstract varieties and manifestations―as bilateral, translatory, rotational, ornamental, and crystallographic. Weyl investigates the general abstract mathematical idea underlying all these special forms, using a wealth of illustrations as support. Symmetry is a work of seminal relevance that explores the great variety of applications and importance of symmetry.

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  1. ISBN-10
    0691173257
  2. ISBN-13
    978-0691173252
  3. Edition
    Reprint
  4. Publisher
    Princeton University Press
  5. Publication date
    October 4, 2016
  6. Language
    English
  7. Dimensions
    5.5 x 0.5 x 8.25 inches
  8. Print length
    176 pages
  9. See all details
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Editorial Reviews

Review

"This short book on a vast subject is the work of a master. With a few sure and authoritative words [Weyl] gives us the heart of the matter. There is no book . . . quite like this one on the subject of symmetry and I doubt if any book will be written in the future that will not in some way lean upon this one. . . . [I]t contains so much besides mathematics that it can still be read with profit and enjoyed by someone who has not advanced beyond long division."---John Tyler Bonner, Science

"Dr. Weyl presents a masterful and fascinating survey of the applications of the principle of symmetry in sculpture, painting, architecture, ornament, and design; its manifestations in organic and inorganic nature; and its philosophical and mathematical significance." ― Scientific American

"Weyl offers deep insight into [the concept of symmetry], its foundations in group theory, its applications in physics, chemistry, and biology, and its role in art."---Manfred Eigen and Ruthild Winkler in, Laws of the Game

"Vivid and picturesque. . . . [Weyl is] an outstanding thinker."---Wolfgang Yourgrau, Philosophy and Phenomenological Research

About the Author

Hermann Weyl (1885–1955) was one of the twentieth century's most important mathematicians, and a key figure in the development of quantum physics and general relativity. He was a member of the Institute for Advanced Study in Princeton and the author of many books.

Product details

  • Publisher ‏ : ‎ Princeton University Press; Reprint edition (October 4, 2016)
  • Language ‏ : ‎ English
  • Paperback ‏ : ‎ 176 pages
  • ISBN-10 ‏ : ‎ 0691173257
  • ISBN-13 ‏ : ‎ 978-0691173252
  • Item Weight ‏ : ‎ 2.31 pounds
  • Dimensions ‏ : ‎ 5.5 x 0.5 x 8.25 inches
  • Customer Reviews:
    4.2 4.2 out of 5 stars 52 ratings

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Hermann Weyl

Hermann Weyl

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Customer reviews

4.2 out of 5 stars
4.2 out of 5
52 global ratings

Top reviews from the United States

Cahao Vien
5.0 out of 5 stars Great book on symmetry in most of life's aspects.
Reviewed in the United States on February 24, 2018
Verified Purchase
Mathematical treatise on symmetry. A tour of the notion of symmetry throughout the math, sciences and life in general. Include in depth mathematical ideas of symmetry while catering to the lay audience. Self sufficient but for the curious more math is helpful.
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Alan M Vanneman
4.0 out of 5 stars Classic work, Kindle version is flawed
Reviewed in the United States on February 23, 2021
Verified Purchase
The only feasible way to read the Kindle version is on a computer. The file won't load on a regular e-book. It will load on an iPhone, but, because the text doesn't flow, this doesn't help geezers. I suppose a tablet work best. Otherwise, you have to sit at a desk, or else with a laptop on your lap. The work itself is timeless.
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Panagiwtis
5.0 out of 5 stars Overall summetry
Reviewed in the United States on March 27, 2010
Verified Purchase
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
6 people found this helpful
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david v
3.0 out of 5 stars Three Stars
Reviewed in the United States on October 17, 2017
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The book is very boring.
2 people found this helpful
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sunflower
5.0 out of 5 stars Five Stars
Reviewed in the United States on April 17, 2018
Verified Purchase
The classical book written by Weyl!
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William Zeitler
5.0 out of 5 stars Five Stars
Reviewed in the United States on January 12, 2018
Verified Purchase
Arrived promptly, was as described.
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SoutheWind
1.0 out of 5 stars Delivery incomplete
Reviewed in the United States on September 27, 2022
Verified Purchase
Ordered a new printing of the book to give as a gift. Received old edition, used. - in poor shape.
Complained. Got refund. Still looking for new edition.
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Michael Brooker
4.0 out of 5 stars Worth the Read
Reviewed in the United States on January 17, 2011
Verified Purchase
This is a tough read for an amateur, but still worth the effort. Fractal Geometry is cutting edge stuff that exposes the connections between nature and math. Well written.
2 people found this helpful
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Top reviews from other countries

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Roosevelt B. Silva
5.0 out of 5 stars Simetria como transformação
Reviewed in Brazil on June 16, 2020
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Uso numa pesquisa sobre transformações geométricas
One person found this helpful
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LOOKING FOR QUALITY
5.0 out of 5 stars A Must-Read Book on Symmetry
Reviewed in Germany on May 5, 2021
Verified Purchase
The profound landmark book on symmetry takes the reader on an exciting and fascinating journey through the world of symmetry to convey how essential this simple, beautiful principle is in all areas of reality. EXCELLENT, GREAT READ!
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Peter Van Eetvelt
5.0 out of 5 stars Five Stars
Reviewed in the United Kingdom on April 19, 2015
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Excellent
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Frank Bierbrauer
3.0 out of 5 stars a decent read and introdiction to symmetry in the sciences
Reviewed in the United Kingdom on June 16, 2010
Verified Purchase
I bought this little booklet, all 168 pages of it, to see what one of the most well known physicists of the 20th Century had to say about symmetry. There are two reasons I did this: 1) to get an idea of the kind of non-academic writing of famous scientists and 2) to see if Weyl had an idea about symmetry which did something new, something surprising.

It's a very compact little book, very dense in trying to talk about the, now very large, field of symmetry within the sciences (mostly physics). He starts basic enough from ideas of bilateral symmetry and shows some wonderful images of such reflection and rotational symmetries as typified by Arabic, Chinese and architectural designs. He introduces translational symmetries and glide reflections. He also gives examples from nature such as the nautilus, honeycombs and radiolarians. Some mathematics is introduced through the concept of symmetry groups. This mathematics is introduced quickly and no time is really given over to truly understand what is happening here although it is introduced in a relatively simple way. Not enough is done to make people understand what is happening here with simple diagrams which would have helped make this much easier. In some cases the diagrams used do not help. He also discusses crystal symmetries and a little about Galois theory which is introduced in a helpful way, much more easily understood than the way I was taught.

Now, how does this book fare when it comes to the above two reasons? Firstly, there is not much that is new or really interesting except a couple of snippets that appear and are full of meaning but not expanded upon: (a) the interaction between space and time symmetries and (b) the concept of similarity as defined by Leibniz. It is a decent read however and I enjoyed the wealth of examples. Weyl does a good job if introducing these ideas for the layman.
4 people found this helpful
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Dante
1.0 out of 5 stars does not work on kindle
Reviewed in Canada on February 9, 2023
Verified Purchase
Sorry never had a chance to open the book.
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