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Curved Spaces
From Classical Geometries to Elementary Differential Geometry
Taschenbuch von P. M. H. Wilson
Sprache: Englisch

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Beschreibung
This 2007 textbook uses examples, exercises, diagrams, and unambiguous proof, to help students make the link between classical and differential geometries.
This 2007 textbook uses examples, exercises, diagrams, and unambiguous proof, to help students make the link between classical and differential geometries.
Über den 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.
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.
Über den 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.
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.
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