Product Description: Symmetry is one of the ideas by which man through the ages has tried to comprehend and create order, beauty, and perfection. Starting from the concept that symmetry equals harmony of proportions, this book gradually develops first the geometric concept of symmetry in its several forms as bilateral, translatory, rotational, ornamental, and crystallographic symmetry, and finally rises to the general abstract mathematical idea underlying all these special forms.
Deep and Insightful Book 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.
a difficult but rewarding introduction to mathematical symmetry and some of it's applications 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.
An excellent introduction to the concept of symmetry 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.
Symmetry Package This book came promptly, in perfect condition. Much more affordable than through the college bookstores.
Great Examination of Symmetry from a Mathematical Viewpoint Be forewarned this book is technical and mathematical. Though you can definitely read it without going through all the math and thinking it through it won't be nearly as valuable to you as it would be if you spent some time and actually thought things out and figured them out rather than just speeding through. That being said this is probably the best examination of symmetry out there that I have read. Weyl starts from very simple concepts and eventually works his way up to examining even complex ornamental symmetry. Of course much of what he says about symmetry is true of aesthetics and beauty in general and many parallels can be drawn between what he is saying and other items like music that may not appear to have clear symmetry right off the bat. Unfortunately in the version I have the citations that Weyl makes are not clearly listed, but many of the authors are fairly prominent and easy to look up. If you like this book I might also reccomend G. D. Birkhoff's Aesthetic Measures. Where, Weyl is interested more in just symmetry Birkhoff is interested in mathematical aesthetic examination in general. Overall this book is a must read for anyone interested in aesthetics.
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