- Hardcover: 408 pages
- Publisher: CRC Press; 2 edition (Dec 12 2001)
- Language: English
- ISBN-10: 0824707095
- ISBN-13: 978-0824707095
- Product Dimensions: 24.1 x 16.8 x 3 cm
- Shipping Weight: 612 g
- Average Customer Review: 5.0 out of 5 stars See all reviews (5 customer reviews)
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Amazon Bestsellers Rank:
#208,716 in Books (See Top 100 in Books)
- #36 in Books > Science > Mathematics > Geometry & Topology > Topology
- See Complete Table of Contents
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Product Details |
Product Description
Product Description
Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging exercises that teach mind-expanding ideas in an intuitive and informal way. Bridging the gap from geometry to the latest work in observational cosmology, the book illustrates the connection between geometry and the behavior of the physical universe and explains how radiation remaining from the big bang may reveal the actual shape of the universe.
Inside This Book
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First Sentence
In 1884 an extraordinary individual named A Square succeeded in publishing his memoirs. Read the first page
Front Cover | Copyright | Table of Contents | Excerpt | Index
In 1884 an extraordinary individual named A Square succeeded in publishing his memoirs. Read the first page
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Concordance
Browse Sample PagesConcordance
Front Cover | Copyright | Table of Contents | Excerpt | Index
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Most helpful customer reviews
5.0 out of 5 stars
advanced mathematics explained to the armature audience,
By
This review is from: The Shape of Space (Hardcover)
This book is about the mathematics of space/universe. It explains the advanced topics of topology, at a level for high school students, for the application of cosmologya VERY fun read. This is not a text book. it is not ment to educate as much as inspire the reader. It contains NO algebra what so ever, it only explains intuitively. There is ZERO rigor. its like a bag of ruffles, bet you cant just read the first few pages ;)
5.0 out of 5 stars
A clear, friendly introduction to topology,
This review is from: The Shape of Space (Hardcover)
Is space finite or infinite? Does it have borders? What shape does it have? These are among the most pressing and interesting questions in astrophysics and cosmology today. To answer (or at least understand) these questions, one must possess an understanding of topology, a branch of mathematics dealing with properties of shapes that are not changed upon deformation.This book is an ideal introduction to topology for beginners with little or no mathematical background. It introduces topological manifolds (especially 2- and 3-manifolds) and their applications to cosmology and the shape of space. It is filled with diagrams, examples and exercises with full solutions at the end of the book. The book assumes almost no knowledge of mathematics or physics, and is thus suitable for high-school and beginning college students. It is a must read for students contemplating a career in pure mathematics or theoretical physics, and who want to get a taste of the applications of pure mathematics to the physical world. For those wishing to go a step further on the subject of the shape of space, the author published a paper (Nature 425, 593 - 595, 09 October 2003) claiming that the universe is a dodecahedral 3-manifold, based on cosmic microwave background measurements. This book may be a nice introduction for this paper and for subsequent papers that will surely ensue, trying to describe the shape of space.
5.0 out of 5 stars
Topology for everyone,
By Debajyoti Ray (Toronto, ON Canada) - See all my reviews
This review is from: The Shape of Space (Hardcover)
Jeffrey wrote this book with the high school student in mind, but even as a second year student in Mathematics I found this book quite informative. Most textbooks in Analysis or Topology do not give you an intuitive feel for the subject. I recommend this book for anyone taking a course in Topology, even Graduate students.This book is well written with many illustrations and exercises to help you get an intuitive understanding of 3 Dimensional manifolds. This helped me a lot in my second year Analysis class as I had an intuitive notion of manifolds taught in class. At the same time the book is easy enough for high school students who always wondered what a Mobius strip or a Klein bottle was but did not find any books on it. This book would make Topology interesting for everyone. I give it a five star rating.
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