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.
"synopsis" may belong to another edition of this title.
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.About the Author:
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.
"About this title" may belong to another edition of this title.
Book Description Paperback. Book Condition: 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. Bookseller Inventory # 287080
Book Description Paperback. Book Condition: 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. Bookseller Inventory # 1625
Book Description Cambridge University Press, 2008. Hardcover. Book Condition: New. New, excellent clean condition, has a mark on the edge of the book, new book, clean pages *** hard bound *** Cambridge University Press. Bookseller Inventory # BIG-02174
Book Description Cambridge University Press, 2016. Paperback. Book Condition: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Bookseller Inventory # ria9780521886291_lsuk
Book Description Cambridge University Press, 2008. Hardcover. Book Condition: New. book. Bookseller Inventory # M0521886295
Book Description Cambridge Univ Pr, 2007. Hardcover. Book Condition: Brand New. 1st edition. 186 pages. 10.00x7.00x0.75 inches. In Stock. Bookseller Inventory # __0521886295
Book Description 2007. Hardback. Book Condition: NEW. 9780521886291 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Bookseller Inventory # HTANDREE0482651
Book Description Cambridge University Press, 2007. HRD. Book Condition: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # IP-9780521886291
Book Description Cambridge University Press, 2007. HRD. Book Condition: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Bookseller Inventory # IP-9780521886291
Book Description Cambridge University Press, 2008. Hardcover. Book Condition: New. Bookseller Inventory # INGM9780521886291