Lectures on surfaces : (almost) everything you wanted to know about them

By:

Katok, Anatole

Contributor(s):

Climenhaga, Vaughn

Material type: Text

9781470454821

Subject(s):

Surfaces

DDC classification:

516 KAT-L

Contents:

Chapter 1. Various ways of representing surfaces and basic examples Chapter 2. Combinatorial structure and topological classification of surfaces Chapter 3. Differentiable structure on surfaces: Real and complex Chapter 4. Riemannian metrics and geometry of surfaces Chapter 5. Topology and smooth structure revisited

Summary: 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, Möbius strip, Klein bottle, elliptic plane, etc.--as well as various methods of describing surfaces, beginning with the t.

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
Books	IIITD General Stacks	Mathematics	516 KAT-L (Browse shelf(Opens below))	Available		012976

Total holds: 0

Includes bibliographical references (p. 271-274) and index.

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, Möbius strip, Klein bottle, elliptic plane, etc.--as well as various methods of describing surfaces, beginning with the t.

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