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The Shape of Space (Pure and Applied Mathematics)

The Shape of Space (Pure and Applied Mathematics)

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Author: Jeffrey R. Weeks
Publisher: CRC
Category: Book

List Price: $34.95
Buy New: $25.00
You Save: $9.95 (28%)



New (19) Used (16) from $20.02

Rating: 5.0 out of 5 stars 10 reviews
Sales Rank: 120465

Media: Hardcover
Edition: 2nd
Pages: 328
Number Of Items: 1
Shipping Weight (lbs): 1.4
Dimensions (in): 9.1 x 5.6 x 0.7

ISBN: 0824707095
Dewey Decimal Number: 514.3
EAN: 9780824707095

Publication Date: December 15, 2001
Availability: Usually ships in 1-2 business days
Condition: This book is brand new. I bought it for my class and never ended up using it. It sat on my shelf the entire semester.

Customer Reviews:
Showing reviews 6-10 of 10
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5 out of 5 stars Magic book on Topology for educated commons   August 5, 2007
Tam Chun Lin (Hong Kong, HK)
2 out of 2 found this review helpful

This is a great book for anyone who is interest in Mathematical Topology and Cosmology Topology. This book does not require a reader to have strong mathematics knowledge. It only requires a reader to have patience to think and solve some problems in the book. The most brilliant point in this book is using diagrams to illustrate the Topology concepts, such as Manifold. This help the reader to get a "feeling" of some really difficult concepts in Topology. This book should be a classic like "Flatland".

chris tam
hong kong



5 out of 5 stars Wow!   September 29, 2005
Anthony Mendoza (Tucson, AZ United States)
4 out of 4 found this review helpful

Actually this book deserves 10 stars. It gives the average person access to the mysterious worlds of topology and nonEuclidean geomotries. It is not a text book but rather a carefully considered exploration of these ideas. It would be an excellent summer read for someone who was going to take topology or nonEuclidean geometry in school in the fall.

One warning though, not all the ideas can be made easy. One still needs to work through the exercises and do a lot of pondering, but this book makes it possible.



5 out of 5 stars Easy Reading   February 19, 2006
Edward J. Koslowska (del rio, texas)
5 out of 5 found this review helpful

This is a very good book for people whom have a light background in math. It is a readable book and great introduction into manifolds and torus. As a mathematican I am amazed with the quality of material, examples, and thus provide one with the ability to understand the topics. I plan to use this book and some of its topics in future teachings. Thus I recommend this book for anyone especially for people who struggle with math.


5 out of 5 stars The joy of math   August 2, 2007
John Blackwell (Northern Virginia, USA)
1 out of 1 found this review helpful

I have a bachelors degree in Math.

As Feynman said, what we really mean by math is careful reasoning. This book brings you the joy of careful reasoning, guided by an expert.

Perhaps what turns some people off math in school is that the supreme example of careful reasoning is the mathematical PROOF. (Or perhaps it's just that most math teachers are so poor.) A proof tends to look dull and ponderous on the outside, and a student can easily miss the beauty of the underlying ideas. On the other hand, for your own amusement you can figure something out to your own satisfaction, without necessarily constructing a watertight proof. This book helps you do just that.

Many newspapers contain Sudoku problems, often with the reassuring claim that no math is required! People who hated math in school can be seen working happily on Sudoku puzzles, for the sheer joy of exercising their ability to reason carefully. The same ability would bring them far more joy while reading this book and answering the puzzles/exercises spinkled throughout.



5 out of 5 stars Excellent Introduction, No Assumptions   July 5, 2007
Shawn Gardner (Alabama)
1 out of 1 found this review helpful

This text is non-intimidating as an introduction to topology. Weeks carefully guides the reader through the building blocks of torii, Moebius strips, projective planes, and other surfaces. After working appropriate exercises, the reader gets a chance to visualize 3-manifolds and connected sums. Some aspects of these two topics can be difficult to explain, but analogies are applied to make understanding attainable. Further, figures and illustrations exist throughout the text, and these are definitely helpful for visualizing connected sums and non-orientable surfaces (both one-sided and two-sided).

(I especially like the approach to the Gauss-Bonet theorem using double lunes. It is a carefully crafted derivation with plenty of illustrations to avoid confusion.)

Some may think this text is too simple, but it is a "must read" for anyone who has not encountered topology and who wants to do individual research on the topic. Many texts claim to be introductory texts, but they are actually designed for those who already have a degree in math and who have seen similar subject matter. However, this one is definitely for "newbies." So don't worry.


 

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