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H. S. M. Coxeter
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Introduction to Geometry 2nd Edition

by H. S. M. Coxeter (Author)
4.4 4.4 out of 5 stars 29 ratings
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This classic work is now available in an unabridged paperback edition. The Second Edition retains all the characterisitcs that made the first edition so popular: brilliant exposition, the flexibility permitted by relatively self-contained chapters, and broad coverage ranging from topics in the Euclidean plane, to affine geometry, projective geometry, differential geometry, and topology. The Second Edition incorporates improvements in the text and in some proofs, takes note of the solution of the 4-color map problem, and provides answers to most of the exercises.
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  1. ISBN-10
    0471504580
  2. ISBN-13
    978-0471504580
  3. Edition
    2nd
  4. Publisher
    Wiley
  5. Publication date
    January 16, 1991
  6. Language
    English
  7. Dimensions
    5.81 x 0.9 x 9.06 inches
  8. Print length
    496 pages
  9. See all details
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Editorial Reviews

From the Publisher

This classic work is now available in an unabridged paperback edition. The Second Edition retains all the characterisitcs that made the first edition so popular: brilliant exposition, the flexibility permitted by relatively self-contained chapters, and broad coverage ranging from topics in the Euclidean plane, to affine geometry, projective geometry, differential geometry, and topology. The Second Edition incorporates improvements in the text and in some proofs, takes note of the solution of the 4-color map problem, and provides answers to most of the exercises.

About the Author

Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, CC was a British-born Canadian geometer. Coxeter is regarded as one of the greatest geometers of the 20th century. He was born in London, received his BA and PhD from Cambridge, but lived in Canada from age 29.

Product details

  • Publisher ‏ : ‎ Wiley; 2nd edition (January 16, 1991)
  • Language ‏ : ‎ English
  • Paperback ‏ : ‎ 496 pages
  • ISBN-10 ‏ : ‎ 0471504580
  • ISBN-13 ‏ : ‎ 978-0471504580
  • Item Weight ‏ : ‎ 1.45 pounds
  • Dimensions ‏ : ‎ 5.81 x 0.9 x 9.06 inches
  • Customer Reviews:
    4.4 4.4 out of 5 stars 29 ratings

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H. S. M. Coxeter

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4.4 out of 5 stars
4.4 out of 5
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29 global ratings

Top reviews from the United States

Bruce G. Baumgart
5.0 out of 5 stars For me Coxeter was the road to Geometry.
Reviewed in the United States on May 31, 2014
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Euclid said "there is no royal road to learning geometry". However geometry for the boomer generation has been easier to learn because of the classic H.S.M. Coxeter "Introduction to Geometry". This 1980 final edition simply perfects the 1961 first edition that helped me start my career in computer graphics. The minor typographical errors have been fixed. One such defect in the first edition for equation 18.21 had stopped my progress in tensor notation for weeks before I could confidently mark it as a printing error. Almost all the exercise answers have been improved. And the four color map proof is mentioned. Returning to Coxeter now in 2014 I see it as a practical review for the serious physics enthusiast to get from the geometry of Euclid to that of the Einstein Field Equations. An alternate more modern and more difficult book covering this mathematics would be Penrose's "Road to Reality" first published in 2004. Everyone must find their own road through geometry, this book might help you.
10 people found this helpful
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R. H. Pratt
5.0 out of 5 stars Coxeter's Geometry
Reviewed in the United States on July 9, 2009
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H.S.M. Coxeter is a legend in Geometry, primarily for his work on higher dimensional objects...polytopes, and the Physics applicable, study of Symmetry. The book covers the gamut of Geometry, touching on the peaks and covering the entire range. No book could cover the entire subject, in one volume. This is an "Introduction" for someone who has already made peace with Mathematics....its not an elementary text. The proofs are rigorous and many details are not presented as the volume was written for university students. I reccomend it for true Math Philes. Dr.Pratt.
6 people found this helpful
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malfalfa
4.0 out of 5 stars good discussion.
Reviewed in the United States on April 15, 2011
The only reason I give it a 4/5 is because the diagrams need to be labeled. It's pretty hard to keep up with the conversation when the author refers to a poorly labeled complex diagram. I think Coxeter's other book does a great job and you can download it for free or buy it for under $10. It is a great introduction to college level geometry; and introduction because it doesn't really go into too much depth, but is not shallow either. I would recommend it, but buy it used because it's just not one of those books you'll constantly look back at for help in the future...it's pretty much a one read and that's it.
5 people found this helpful
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J/R
5.0 out of 5 stars Must have
Reviewed in the United States on December 4, 2019
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A great book from a master! Highly recommended!
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Craig Matteson
5.0 out of 5 stars Lots of illustrations and exercises-with answers at the back
Reviewed in the United States on January 10, 2004
This is a wonderful book. It isn't for mathematical beginners, but it isn't opaque either. It requires a student to think, experiment and to learn by puzzling things out in one's mind rather than simple memorization and regurgitation. Nor does it follow the all too common modern method of over simplifying things to allow people to pretend they have learned math while only dabbling in a few basic topics.
This book is amply illustrated with many exercises (answers are provided at the back for all the exercises). The book also has some humor and wit with the quotes it distributes throughout the book to help liven things up.
There is also a list of helpful references and an index. When reading the book, don't be afraid of going to a dictionary or the web or some other math books for clarification of some terms or more basic concepts. It is essential to have everything clear in your mind before moving on or you will stumble. As in all math, it is like a building with the next stage being built on the present one which is built on the previous one. You can't skip steps very successfully very often.
This is a great volume to have in your library, but even better to work through.
59 people found this helpful
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Mjc
1.0 out of 5 stars Wonderful book, outrageous price
Reviewed in the United States on December 27, 2009
I have the first edition of this book and learned much of what I know of Geometry from it. As a book, I highly recommend it.

But the price is absurdly high!!! It it a reprint, in paperback, and less than 500 pages. There is no way that it should be more than $30!

Charging $97 is just pure greed on the part of the publisher.

Shame on Wiley.
22 people found this helpful
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André Gargoura
5.0 out of 5 stars Fabulous overview of concepts of geometry !
Reviewed in the United States on January 20, 2013
As usual, Coxeter shows that he is the master of the revival of geometry !

Look at the table of contents to see how "rich" this book is... while every subject is treated in a wonderfully comprehensive way.

This book is part of Coxeter's geometry SUM : Introduction to Geometry, The real Projective Plane, Projective Geometry, Geometry Revisited, Non-Euclidean Geometry... to be included in the collection of anyone interested in mathematics.
One person found this helpful
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D. Briggs
5.0 out of 5 stars Best survey of geometry.
Reviewed in the United States on June 27, 2000
This is Coxeter best book. Introduction to Geometry covers a wide range of topics and is the first book that I will look at for any geometry topic. It is now a little dated but only in the topics that it does not cover. Like all of Coxeter works each topic is clear and to the point. If you only buy one book on geometry this is it.
30 people found this helpful
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Top reviews from other countries

Jan Pedersen
5.0 out of 5 stars classic
Reviewed in the United Kingdom on January 4, 2013
Verified Purchase
The content itself is good enough, but I didn't like the color of the cover and the fact that it is paper back. Paying tribute to such a book should be by putting it in a more expensive format.
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Rod Spencer
5.0 out of 5 stars Excellent Text Book!
Reviewed in the United Kingdom on August 18, 2014
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Excellent Text!
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