Curved Spaces - From Classical Geometries to Elementary Differential Geometry

Informationen zum Autor Pelham Wilson is Professor of Algebraic Geometry in the Department of Pure Mathematics, University of Cambridge. He has been a Fellow of Trinity College since 1981 and has held visiting positions at universities and research institutes worldwide, including Kyoto University and the Max-Planck-Institute for Mathematics in Bonn. Professor Wilson has over 30 years of extensive experience of undergraduate teaching in mathematics, and his research interests include complex algebraic varieties, Calabi-Yau threefolds, mirror symmetry, and special Lagrangian submanifolds. Klappentext This 2007 textbook uses examples, exercises, diagrams, and unambiguous proof, to help students make the link between classical and differential geometries. Zusammenfassung The well-known classical geometries! Euclidean! spherical and hyperbolic! are presented here in a general context! each linked by certain geometric themes. This 2007 textbook provides for a thorough introduction to! and examples of! the more general theory of curved spaces! and more generally! abstract surfaces with Riemannian metrics. Inhaltsverzeichnis Preface; 1. Euclidean geometry; 2. Spherical geometry; 3. Triangulations and Euler numbers; 4. Riemannian metrics; 5. Hyperbolic geometry; 6. Smooth embedded surfaces; 7. Geodesics; 8. Abstract surfaces and Gauss-Bonnet.

Product details

• Authors: P. M. H. Wilson, P. M. H. (University of Cambridge) Wilson, Wilson P. M. H.
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 13.12.2007
• EAN: 9780521886291
• ISBN: 978-0-521-88629-1
• No. of pages: 198
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; MATHEMATICS / Topology, Calculus & mathematical analysis, Differential & Riemannian geometry, Calculus and mathematical analysis, Differential and Riemannian geometry