{"product_id":"9781852339340","title":"Springer Undergraduate Mathematics Series","description":"\u003ch1\u003eSpringer Undergraduate Mathematics Series\u003c\/h1\u003e \u003ch2\u003eAnderson, James W.\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe geometry of the hyperbolic plane has been an active and fascinating field of mathematical inquiry for most of the past two centuries. This book provides a self-contained introduction to the subject, providing the reader with a firm grasp of the concepts and techniques of this beautiful area of mathematics. Topics covered include the upper half-space model of the hyperbolic plane, Möbius transformations, the general Möbius group and the subgroup preserving path length in the upper half-space model, arc-length and distance, the Poincaré disc model, convex subsets of the hyperbolic plane, and the Gauss-Bonnet formula for the area of a hyperbolic polygon and its applications. \u003c\/p\u003e\n\u003cp\u003eThis updated second edition also features:\u003c\/p\u003e\n\u003cul\u003e \u003cli\u003ean expanded discussion of planar models of the hyperbolic plane arising from complex analysis;\u003c\/li\u003e \u003cli\u003ethe hyperboloid model of the hyperbolic plane;\u003c\/li\u003e \u003cli\u003ea brief discussion of generalizations to higher dimensions;\u003c\/li\u003e \u003cli\u003emany newexercises.\u003c\/li\u003e\n\u003c\/ul\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2005-08-23\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9781852339340\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/1-84628-220-9\u003c\/p\u003e \u003cp\u003eDimensions: 254cm x178cm\u003c\/p\u003e \u003cp\u003ePages: 276\u003c\/p\u003e ","brand":"Springer London","offers":[{"title":"Default Title","offer_id":46540985827468,"sku":"9781852339340","price":34.19,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781852339340.jpg?v=1775730837","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9781852339340","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}