Industrial-Sized Deals Best Books of the Month Shop Women's Handbags Learn more nav_sap_plcc_6M_fly_beacon Beach House Fire TV Stick Subscribe & Save Find the Best Purina Pro Plan for Your Pet Shop Popular Services tmnt tmnt tmnt  Amazon Echo Starting at $99 Kindle Voyage Metal Gear Solid 5 Big Savings in the Amazon Fall Sportsman Event Deal of the Day
Qty:1
  • List Price: $46.00
  • Save: $5.64 (12%)
Only 18 left in stock (more on the way).
Ships from and sold by Amazon.com.
Gift-wrap available.
Geometry and the Imaginat... has been added to your Cart
+ $3.99 shipping
Used: Good | Details
Condition: Used: Good
Comment: Ships same or next working day from UK. Delivered in 1 - 3 weeks (or select two-day/expedited shipping). Your purchase helps support the African Children's Educational Trust (A-CET). Ex-library, so some stamps and wear, but in good overall condition. 100% money back guarantee. We are a world class secondhand bookstore based in Hertfordshire, United Kingdom and specialize in high quality textbooks across an enormous variety of subjects. We aim to provide a vast range of textbooks, rare and collectible books at a great price. Through our work with A-CET we have helped give hundreds of young people in Africa the vital chance to get an education. We provide a 100% money back guarantee and are dedicated to providing our customers with the highest standards of service in the bookselling industry.
Sell yours for a Gift Card
We'll buy it for $15.46
Learn More
Trade in now
Have one to sell? Sell on Amazon
Flip to back Flip to front
Listen Playing... Paused   You're listening to a sample of the Audible audio edition.
Learn more
See all 3 images

Geometry and the Imagination (AMS Chelsea Publishing) Hardcover – October 1, 1999

12 customer reviews

See all 8 formats and editions Hide other formats and editions
Amazon Price New from Used from
Hardcover
"Please retry"
$40.36
$31.59 $31.58
Paperback
"Please retry"

Save up to 40% on professional, scholarly and scientific resources.
Wiley's Summer Savings Event
Save up to 40% on professional, scholarly and scientific resources. Learn more.
$40.36 FREE Shipping. Only 18 left in stock (more on the way). Ships from and sold by Amazon.com. Gift-wrap available.

Frequently Bought Together

Geometry and the Imagination (AMS Chelsea Publishing) + Principles of Mathematical Logic + Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis (Dover Books on Mathematics)
Price for all three: $77.06

Buy the selected items together

Editorial Reviews

Review

This book is a masterpiece -- a delightful classic that should never go out of print. --Mathematical Association of America

[This] superb introduction to modern geometry was co-authored by David Hilbert, one of the greatest mathematicians of the 20th century. --Steven Strogatz, Cornell University

A fascinating tour of the 20th century mathematical zoo ... Anyone who would like to see proof of the fact that a sphere with a hole can always be bent (no matter how small the hole), learn the theorems about Klein's bottle--a bottle with no edges, no inside, and no outside--and meet other strange creatures of modern geometry, will be delighted with Hilbert and Cohn-Vossen's book. --Scientific American

Language Notes

Text: English (translation)
Original Language: German

NO_CONTENT_IN_FEATURE

Best Books of the Month
Best Books of the Month
Want to know our Editors' picks for the best books of the month? Browse Best Books of the Month, featuring our favorite new books in more than a dozen categories.

Product Details

  • Series: AMS Chelsea Publishing
  • Hardcover: 357 pages
  • Publisher: American Mathematical Society (October 1, 1999)
  • Language: English
  • ISBN-10: 0821819984
  • ISBN-13: 978-0821819982
  • Product Dimensions: 0.8 x 6 x 9 inches
  • Shipping Weight: 1.2 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (12 customer reviews)
  • Amazon Best Sellers Rank: #363,293 in Books (See Top 100 in Books)

More About the Author

Discover books, learn about writers, read author blogs, and more.

Customer Reviews

5 star
100%
4 star
0%
3 star
0%
2 star
0%
1 star
0%
See all 12 customer reviews
Share your thoughts with other customers

Most Helpful Customer Reviews

61 of 61 people found the following review helpful By Colin McLarty on November 8, 2001
Format: Hardcover
The leading mathematician of the 20th century, David Hilbert liked to quote "an old French mathematician" saying "A mathematical theory should not be considered complete until you have made it so clear that you can explain it to the first man you meet on the street". By that standard, this book by Hilbert was the first to complete several branches of geometry: for example, plane projective geometry and projective duality, regular polyhedra in 4 dimensions, elliptic and hyperbolic non-Euclidean geometries, topology of surfaces, curves in space, Gaussian curvature of surfaces (esp. that fact that you cannot bend a sphere without stretching some part of it, but you can if there is just one hole however small), and how lattices in the plane relate to number theory.
It is beautiful geometry, beautifully described. Besides the relatively recent topics he handles classics like conic sections, ruled surfaces, crystal groups, and 3 dimensional polyhedra. In line with Hilbert's thinking, the results and the descriptions are beautiful because they are so clear.
More than that, this book is an accessible look at how Hilbert saw mathematics. In the preface he denounces "the superstition that mathematics is but a continuation ... of juggling with numbers". Ironically, some people today will tell you Hilbert thought math was precisely juggling with formal symbols. That is a misunderstanding of Hilbert's logical strategy of "formalism" which he created to avoid various criticisms of set theory. This book is the only written work where Hilbert actually applied that strategy by dividing proofs up into intuitive and infinitary/set-theoretic parts.
Read more ›
Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again
35 of 39 people found the following review helpful By henrique fleming on August 5, 1998
Format: Hardcover
This is one of the best books on Mathematics ever written. The author is arguably the best mathematician of the century. Here he treats geometry, including topology, in an elementary, though profound, way, with no formalism. A work of art. Books like this shouldn't ever become "out-of-print".
Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again
25 of 27 people found the following review helpful By Peter Renz on July 21, 2003
Format: Hardcover
I have some 47 books in the geometry section of my shelves. If I had to discard 40 of these, Geometry and the Imagination would be among the 7 remaining.
Geometry is the study of relationships between shapes, and this book helps you see how shapes fit together. Ultimately, you must make the connections in your mind using your mind's eye. The illustrations and text help you make these connections. This is a book that requires effort and delivers rewards.
Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again
18 of 23 people found the following review helpful By Marvin J. Greenberg on December 23, 2006
Format: Hardcover Verified Purchase
I agree that this book, co-authored by the co-greatest mathematician of the first quarter of the twentieth century, is a masterpiece to be treasured and kept in print, as other reviewers have stated.

However: The Preface states: "This book was written to bring about a greater enjoyment of mathematics, by making it easier for the reader to penetrate to the essence of mathematics without having to weight himself down under a laborious course of studies."

All I can say is that if you read this and find it "easy," then you have terrific mathematical talent! Yes, the drawings and the intuitive descriptions are helpful, but much of the book is so obscure that I have been told that one of the world's leading geometers is working on an annotated edition explaining what the authors were talking about. On topics which I had already studied elsewhere, I found the presentation illuminating.

I still recommend this book.
2 Comments Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again
4 of 4 people found the following review helpful By Carles V on July 14, 2012
Format: Hardcover Verified Purchase
The purpose of this book is very well described by the author in the preface.

There Hilbert says "...In this book, it is our purpose to give a presentation of geometry, as it stands today, in its visual, intuitive aspects. With the aid of visual imagination we can illuminate the manifold facts and problems of geometry, and beyond this, it is possible in many cases to depict the geometric outline ot the methods of investigation and proof, without necessarily entering into the details connected with the strict definitions of concepts and with the actual calculations."

A little further, he says "...This book was written to bring about a greater enjoyment of mathematics, by making it easier for the reader to penetrate to the essence of mathematics without having to weight himself down under a laborious course of studies."

As a reader of this book, I can say that the key words are "visual imagination" and "enjoyment of mathematics".
The purpose described by Hilbert is completely (and excellently) achieved.

The book is a masterpiece, written by one of the masters of Mathematics.

In an elegant and clear style, Hilbert explains the most beautiful geometrical concepts.
When reading it, you feel as if Hilbert was sit down besides you, just talking about geometry to you, (maybe with the aid of a sheet of paper and a pencil), and you can grasp the genius of the Göttingen Professor.
He does not use practically any formula or mathematical expression, however his prose is full of mathematical insights, geometrical facts, stimulating images and delicious "expository" proofs.
Read more ›
Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again

Most Recent Customer Reviews

Set up an Amazon Giveaway

Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers. Learn more
Geometry and the Imagination (AMS Chelsea Publishing)
This item: Geometry and the Imagination (AMS Chelsea Publishing)
Price: $40.36
Ships from and sold by Amazon.com

What Other Items Do Customers Buy After Viewing This Item?