Lectures on Surfaces (Student Mathematical Library)
By Anatole Katok and Vaughn Climenhaga.
Description
Surfaces are among the most common and easily visualized mathematical objects, and their study brings into focus fundamental ideas, concepts, and methods from geometry, topology, complex analysis, Morse theory, and group theory. At the same time, many of those notions appear in a technically simpler and more graphic form than in their general ``natural'' settings. The first, primarily expository, chapter introduces many of the principal actors--the round sphere, flat torus, Mobius strip, Klein bottle, elliptic plane, etc.--as well as various methods of describing surfaces, beginni...
ISBN(s)
0821846795, 9780821846797
