Symmetry (Princeton Science Library) by Hermann Weyl (PDF)

Description

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐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.

⭐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.

⭐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.

⭐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.

⭐The book is very boring.

⭐Very well written introductory book to symmetry-group theory notionsconcise and thought provoking lacking some modern notions and strong mathematical deductionsCan be read from high scool studentsan easy pace book ideal for a first contact with the subject

⭐The classical book written by Weyl!

⭐Arrived promptly, was as described.

⭐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.

⭐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!

⭐Uso numa pesquisa sobre transformações geométricas

⭐

⭐Excellent

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