{"product_id":"an-expedition-to-geometry-9789380250113","title":"An Expedition to Geometry","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book, taking a holistic view of geometry, introduces the reader to axiomatic, algebraic, analytic and differential geometry. \u003cbr\u003e\u003cbr\u003eStarting with an informal introduction to non-Euclidean plane geometries, the book develops the theory to put them on a rigorous footing. It may be considered as an explication of the Kleinian view of geometry a la Erlangen Programme. The treatment in the book, however, goes beyond the Kleinian view of geometry.\u003cbr\u003e\u003cbr\u003eSome noteworthy topics presented include:\u003cul\u003e\n\u003cli\u003evarious results about triangles (including results on areas of geodesic triangles) in Euclidean, hyperbolic, and spherical planes\u003c\/li\u003e\n\u003cli\u003eaffine and projective classification of conics\u003c\/li\u003e\n\u003cli\u003etwopoint homogeneity of the three planes and the fact that the set of distance preserving maps (isometries) are essentially the same as the set of lengths preserving maps of these planes.\u003c\/li\u003e\n\u003c\/ul\u003eGeometric intuition is emphasized throughout the book. Figures are included wherever needed. The book has several exercises varying from computational problems to investigative or explorative open questions.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003e1. Introduction \u003c\/li\u003e\n\u003cli\u003e2. Affine Geometry \u003c\/li\u003e\n\u003cli\u003e3. Projective Geometry \u003c\/li\u003e\n\u003cli\u003e4. Classification of Conics \u003c\/li\u003e\n\u003cli\u003e5. Euclidean Geometry \u003c\/li\u003e\n\u003cli\u003e6. Hyperbolic Plane Geometry \u003c\/li\u003e\n\u003cli\u003e7. Spherical Plane Geometry \u003c\/li\u003e\n\u003cli\u003e8. Theory of Surfaces\u003c\/li\u003e\n\u003cli\u003e9. A Group Action \u003c\/li\u003e\n\u003c\/ul\u003e","brand":"Hindustan Book Agency","offers":[{"title":"Default Title","offer_id":50473222406487,"sku":"9789380250113","price":34.16,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789380250113.jpg?v=1744905767","url":"https:\/\/bookcurl.com\/products\/an-expedition-to-geometry-9789380250113","provider":"Book Curl","version":"1.0","type":"link"}