Description: Topological, Differential and Conformal Geometry of Surfaces by Norbert A'Campo This book provides an introduction to the main geometric structures that are carried by compact surfaces, with an emphasis on the classical theory of Riemann surfaces. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description This book provides an introduction to the main geometric structures that are carried by compact surfaces, with an emphasis on the classical theory of Riemann surfaces. It first covers the prerequisites, including the basics of differential forms, the Poincaré Lemma, the Morse Lemma, the classification of compact connected oriented surfaces, Stokes Theorem, fixed point theorems and rigidity theorems. There is also a novel presentation of planar hyperbolic geometry. Moving on to more advanced concepts, it covers topics such as Riemannian metrics, the isometric torsion-free connection on vector fields, the Ansatz of Koszul, the Gauss–Bonnet Theorem, and integrability. These concepts are then used for the study of Riemann surfaces. One of the focal points is the Uniformization Theorem for compact surfaces, an elementary proof of which is given via a property of the energy functional. Among numerous other results, there is also a proof of Chows Theorem on compact holomorphic submanifolds in complex projective spaces.Based on lecture courses given by the author, the book will be accessible to undergraduates and graduates interested in the analytic theory of Riemann surfaces. Back Cover This book provides an introduction to the main geometric structures that are carried by compact surfaces, with an emphasis on the classical theory of Riemann surfaces. It first covers the prerequisites, including the basics of differential forms, the Poincar Author Biography Norbert ACampo earned his doctorate in 1972 from the University of Paris-Sud. He was a Professor of Mathematics in Paris (1974–1982) and in Basel (1982–2011) and was an invited speaker at the International Congress of Mathematicians in 1974. In 1988 he was elected president of the Swiss Mathematical Society and in 2012 he became a fellow of the American Mathematical Society. His research focuses on singularity theory. Table of Contents -1. Basic Differential Geometry.- 2. The Geometry of Manifolds.- 3. Hyperbolic Geometry.- 4. Some Examples and Sources of Geometry.- 5. Differential Topology of Surfaces.- 6. Riemann Surfaces.- 7. Surfaces of Genus g = 0.- 8. Surfaces with Riemannian Metric.- 9. Outline: Uniformization by Spectral Determinant.- 10. Uniformization by Energy.- 11. Families of Spaces.- 12. Functions on Riemann Surfaces.- 13. Line Bundles and Cohomology.- 14. Moduli Spaces and TeichmÜller Spaces.- 15. Dimensions of Spaces of Holomorphic Sections.- 16. The TeichmÜller Curve and its Universal Property.- 17. Riemann Surfaces and Algebraic Curves.- 18. The Jacobian of a Riemann Surface.- 19. Special Metrics on J-Surfaces.- 20. The Fundamental Group and Coverings.- A. Reminder: Topology.- References.- Index. Feature Provides an introduction to the classical theory of Riemannian surfaces Includes an elementary proof of the Uniformization Theorem for compact surfaces Features numerous interesting topological, analytical and algebraic detours Details ISBN3030890317 Author Norbert ACampo Series Universitext Language English Year 2021 ISBN-10 3030890317 ISBN-13 9783030890315 Format Paperback Publisher Springer Nature Switzerland AG Imprint Springer Nature Switzerland AG Place of Publication Cham Country of Publication Switzerland Edition 1st Pages 284 Publication Date 2021-10-28 UK Release Date 2021-10-28 Illustrations 23 Illustrations, color; 3 Illustrations, black and white; X, 284 p. 26 illus., 23 illus. in color. Edition Description 1st ed. 2021 DEWEY 516.36 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:137652808;
Price: 143.9 AUD
Location: Melbourne
End Time: 2024-11-05T04:43:47.000Z
Shipping Cost: 0 AUD
Product Images
Item Specifics
Restocking fee: No
Return shipping will be paid by: Buyer
Returns Accepted: Returns Accepted
Item must be returned within: 30 Days
ISBN-13: 9783030890315
Book Title: Topological, Differential and Conformal Geometry of Surfaces
Publisher: Springer Nature Switzerland Ag
Publication Year: 2021
Subject: Mathematics
Item Height: 235 mm
Number of Pages: 284 Pages
Language: English
Publication Name: Topological, Differential and Conformal Geometry of Surfaces
Type: Textbook
Author: Norbert A'campo
Item Width: 155 mm
Format: Paperback
