# Curved Spaces: From Classical Geometries to Elementary Differential Geometry

## P. M. H. Wilson

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This self-contained 2007 textbook presents an exposition of the well-known classical two-dimensional geometries, such as Euclidean, spherical, hyperbolic, and the locally Euclidean torus, and introduces the basic concepts of Euler numbers for topological triangulations, and Riemannian metrics. The careful discussion of these classical examples provides students with an introduction to the more general theory of curved spaces developed later in the book, as represented by embedded surfaces in Euclidean 3-space, and their generalization to abstract surfaces equipped with Riemannian metrics. Themes running throughout include those of geodesic curves, polygonal approximations to triangulations, Gaussian curvature, and the link to topology provided by the Gauss-Bonnet theorem. Numerous diagrams help bring the key points to life and helpful examples and exercises are included to aid understanding. Throughout the emphasis is placed on explicit proofs, making this text ideal for any student with a basic background in analysis and algebra.

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Book Description:

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.

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.

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## 1.Curved Spaces from Classical Geometries To elementary Differential Geometry PB

ISBN 10: 0521713900 ISBN 13: 9780521713900
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Descrizione libro Condizione libro: Brand New. PAPERBACK,Book Condition New, International Edition. We Do not Ship APO FPO AND PO BOX. Cover Image & ISBN may be different from US edition but contents as US Edition. Printing in English language.NO CD AND ACCESS CODE. Quick delivery by USPS/UPS/DHL/FEDEX/ARAMEX ,Customer satisfaction guaranteed. We may ship the books from Asian regions for inventory purpose. Codice libro della libreria ABECMBRD*7604

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## 2.Curved Spaces: From Classical Geometries to Elementary Differential Geometry

ISBN 10: 0521713900 ISBN 13: 9780521713900
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Descrizione libro Paperback. Condizione libro: New. Softcover Book, New Condition, Fast Shipping. Ready in Stock. 1st Edition. [Please Read Carefully Before Buying], This Is An International Edition. Printed In Black and White. 196 pages, Book Cover And ISBN No May Be Different From US Edition. Restricted Sales Disclaimer Wordings Not For Sales In USA And Canada May Be Printed On The Cover Of The Book. Standard Shipping 7-14 Business Days. Expedited Shiping 4-8 Business Days. ***WE DO NOT ENTERTAIN BULK ORDERS.*** The Books May Be Ship From Overseas For Inventory Purpose. Codice libro della libreria 287276

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## 3.Curved Spaces: From Classical Geometries to Elementary Differential Geometry

ISBN 10: 0521713900 ISBN 13: 9780521713900
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Descrizione libro Paperback. Condizione libro: New. New, Softcover International Edition, Printed in Black and White, Different ISBN, Same Content As US edition, Book Cover may be Different, in English Language. Codice libro della libreria 1670

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## 4.Curved Spaces: From Classical Geometries to Elementary Differential Geometry (Paperback)

Editore: CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2008)
ISBN 10: 0521713900 ISBN 13: 9780521713900
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Descrizione libro CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2008. Paperback. Condizione libro: New. Language: English . Brand New Book. This self-contained 2007 textbook presents an exposition of the well-known classical two-dimensional geometries, such as Euclidean, spherical, hyperbolic, and the locally Euclidean torus, and introduces the basic concepts of Euler numbers for topological triangulations, and Riemannian metrics. The careful discussion of these classical examples provides students with an introduction to the more general theory of curved spaces developed later in the book, as represented by embedded surfaces in Euclidean 3-space, and their generalization to abstract surfaces equipped with Riemannian metrics. Themes running throughout include those of geodesic curves, polygonal approximations to triangulations, Gaussian curvature, and the link to topology provided by the Gauss-Bonnet theorem. Numerous diagrams help bring the key points to life and helpful examples and exercises are included to aid understanding. Throughout the emphasis is placed on explicit proofs, making this text ideal for any student with a basic background in analysis and algebra. Codice libro della libreria AAU9780521713900

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## 5.Curved Spaces: From Classical Geometries to Elementary Differential Geometry (Paperback)

Editore: CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2008)
ISBN 10: 0521713900 ISBN 13: 9780521713900
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Descrizione libro CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2008. Paperback. Condizione libro: New. Language: English . Brand New Book. This self-contained 2007 textbook presents an exposition of the well-known classical two-dimensional geometries, such as Euclidean, spherical, hyperbolic, and the locally Euclidean torus, and introduces the basic concepts of Euler numbers for topological triangulations, and Riemannian metrics. The careful discussion of these classical examples provides students with an introduction to the more general theory of curved spaces developed later in the book, as represented by embedded surfaces in Euclidean 3-space, and their generalization to abstract surfaces equipped with Riemannian metrics. Themes running throughout include those of geodesic curves, polygonal approximations to triangulations, Gaussian curvature, and the link to topology provided by the Gauss-Bonnet theorem. Numerous diagrams help bring the key points to life and helpful examples and exercises are included to aid understanding. Throughout the emphasis is placed on explicit proofs, making this text ideal for any student with a basic background in analysis and algebra. Codice libro della libreria AAU9780521713900

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## 6.Curved Spaces

Editore: Cambridge University Press 2007-12-13, Cambridge (2007)
ISBN 10: 0521713900 ISBN 13: 9780521713900
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Descrizione libro Cambridge University Press 2007-12-13, Cambridge, 2007. paperback. Condizione libro: New. Codice libro della libreria 9780521713900

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## 7.Curved Spaces: From Classical Geometries to Elementary Differential Geometry

Editore: Cambridge University Press (2008)
ISBN 10: 0521713900 ISBN 13: 9780521713900
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Descrizione libro Cambridge University Press, 2008. Condizione libro: New. This 2007 textbook uses examples, exercises, diagrams, and unambiguous proof, to help students make the link between classical and differential geometries. Num Pages: 198 pages, 79 b/w illus. 105 exercises. BIC Classification: PBK; PBMP. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 244 x 175 x 12. Weight in Grams: 33. From Classical Geometries to Elementary Differential Geometry. 198 pages, 79 b/w illus. 105 exercises. This 2007 textbook uses examples, exercises, diagrams, and unambiguous proof, to help students make the link between classical and differential geometries. Cateogry: (P) Professional & Vocational; (U) Tertiary Education (US: College). BIC Classification: PBK; PBMP. Dimension: 244 x 175 x 12. Weight: 332. . 2008. 1st Edition. Paperback. . . . . . Codice libro della libreria V9780521713900

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## 8.Curved Spaces: From Classical Geometries to Elementary Differential Geometry

Editore: Cambridge University Press
ISBN 10: 0521713900 ISBN 13: 9780521713900
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Descrizione libro Cambridge University Press. Paperback. Condizione libro: New. New copy - Usually dispatched within 2 working days. Codice libro della libreria B9780521713900

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## 9.Curved Spaces: From Classical Geometries to Elementary Differential Geometry

Editore: Cambridge University Press (2007)
ISBN 10: 0521713900 ISBN 13: 9780521713900
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Descrizione libro Cambridge University Press, 2007. Condizione libro: New. book. Codice libro della libreria ria9780521713900_rkm

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## 10.Curved Spaces: From Classical Geometries to Elementary Differential Geometry

Editore: Cambridge University Press
ISBN 10: 0521713900 ISBN 13: 9780521713900
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Descrizione libro Cambridge University Press. Condizione libro: New. This 2007 textbook uses examples, exercises, diagrams, and unambiguous proof, to help students make the link between classical and differential geometries. Num Pages: 198 pages, 79 b/w illus. 105 exercises. BIC Classification: PBK; PBMP. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 244 x 175 x 12. Weight in Grams: 33. From Classical Geometries to Elementary Differential Geometry. 198 pages, 79 b/w illus. 105 exercises. This 2007 textbook uses examples, exercises, diagrams, and unambiguous proof, to help students make the link between classical and differential geometries. Cateogry: (P) Professional & Vocational; (U) Tertiary Education (US: College). BIC Classification: PBK; PBMP. Dimension: 244 x 175 x 12. Weight: 332. . 2008. 1st Edition. Paperback. . . . . Books ship from the US and Ireland. Codice libro della libreria V9780521713900

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