How Surfaces Intersect in Space: An Introduction to Topology (Series on Knots and Everything) - ISBN:9810210507

How Surfaces Intersect in Space: An Introduction to Topology (Series on Knots and Everything)

Date: 11 April 2011, 13:33

Free register and download UseNet downloader, then you can FREE Download from UseNet.

Download without Limit " How Surfaces Intersect in Space: An Introduction to Topology (Series on Knots and Everything) " from UseNet for FREE!

Product Description: This is a book of marvelous pictures that illustrates standard examples in low dimensional topology. The text starts at the most basic level (the intersection of coordinate planes) and gives hands on constructions of the most beautiful examples in topology: the projective plane, Poincare's example of a homology sphere, lens spaces, knotted surfaces, 2-sphere eversions, and higher dimensional manifolds. The text carefully explains the importance of the examples and the techniques without being bogged down in a morass of technicalities.
Chapter 1 opens with the classification of orientable surfaces, and the meaning of space. Chapter 2 discusses examples of non-orientable surfaces including models of the projective plane and the Klein bottle. Chapter 3 discusses how curves fit on surfaces and gives a general discussion of knotted strings in space. In Chapter 4, some examples of other 3-dimensional spaces are described. These include the 3-dimensional sphere, lens spaces, and the quaternionic projective space. In Chapter 5, the author reviews the movie techniques of studying surfaces in 4-dimensions. He shows how to move among the standard examples of Klein bottles, and he gives a "movie move" decomposition of turning the 2-sphere inside out. In the final Chapter, higher dimensional spaces are examined from the same elementary point of view.
The book is a guide book to a wide variety of topics. It will be of value to undergraduates who want to learn geometric topology and to graduate students who want examples with which they can make computations and who need an elementary description of topological spaces. Finally, the book should be interesting to other scientists and mathematicians who want to learn some examples of topological spaces.

Download Links:

Download Link (High Speed Download)

Download Link (http://www.filesonic.com/...)

DISCLAIMER:

This site does not store How Surfaces Intersect in Space: An Introduction to Topology (Series on Knots and Everything) on its server. We only index and link to How Surfaces Intersect in Space: An Introduction to Topology (Series on Knots and Everything) provided by other sites. Please contact the content providers to delete How Surfaces Intersect in Space: An Introduction to Topology (Series on Knots and Everything) if any and email us, we'll remove relevant links or contents immediately.