Lectures on surfaces : (almost) everything you wanted to know about them
Material type: TextSeries: Student mathematical library ; v. 46.Publication details: Hyderabad : Universities Press, ©2008Description: xv, 286 p. : ill. ; 22 cmISBN:- 9781470454821
- 516 KAT-L
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 |
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516 DUN-G Geometry : | 516 FEN-G Geometry | 516 ISA-G Geometry for college students | 516 KAT-L Lectures on surfaces : (almost) everything you wanted to know about them | 516 KUM-C A Course in differential geometry and lie groups | 516 LEE-A Axiomatic geometry | 516 LEE-A Axiomatic geometry |
Includes bibliographical references (p. 271-274) and index.
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
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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