9789810220822
How Surfaces Intersect In Space - J. Scott. Carter
World Scientific (1995)
In Collection
#1637

Read It:
Yes
Topology

This text presents pictures that illustrates standard examples in low dimensional topology. It begins at the most basic level (the intersection of coordinate planes) and gives hands on constructions of 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 explains the importance of the examples and the techniques without being bogged down in technicalities. The book is a guide to a wide variety of topics. It should be of use 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. It should also be interesting to other scientists and mathematicians who want to learn some examples of topological spaces.

Product Details
LoC Classification QA611.C33 1995
Dewey 514/.22
Format Hardcover
Cover Price 35,00 €
No. of Pages 318
Height x Width 230 x 165 mm
Personal Details
Links Library of Congress

Notes
In this excellent book the author teaches us to see a bit more than it meets our eyes. Without hurry he introduces us to the world of topological images. Step by step the reader learns the beauty of topological vision. Surfaces and their intersections, curves and knots, three-dimensional manifolds, surfaces in dimension 4 etc., all these material are presented in an informal easy way, making the exposition available to undergraduate students. As to the pictures, they are really delightful. I especially enjoyed the movies of surfaces and movie moves. On the whole the book is a successful attempt of an introduction to topology focusing on its spirit and skipping its technical side.