{"product_id":"hyperbolic-geometry-the-all-in-one-textbook-9798281099899","title":"Hyperbolic Geometry: The All in One Textbook","description":"\u003cp\u003e • Author(s): Haneul Choi\u003cbr\u003e • Publisher: Independently Published\u003cbr\u003e • Publisher Imprint: Independently Published\u003cbr\u003e • BISAC: Geometry - Non-Euclidean\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eStep into a universe where straight lines bend, angles shrink, and infinite parallels redefine common sense. This definitive textbook on non-Euclidean space delivers everything you need to \u003ci\u003esee\u003c\/i\u003e, \u003ci\u003emeasure\u003c\/i\u003e, and \u003ci\u003ecommand\u003c\/i\u003e the geometry of negative curvature-whether you are a mathematics major, a graduate researcher, a theoretical physicist, or an artist chasing Escher-like tessellations.\u003cbr\u003e \u003c\/p\u003e\u003cp\u003e\u003cb\u003eWhat Sets This Book Apart\u003c\/b\u003e\u003c\/p\u003e\u003cp\u003e- \u003cb\u003eComplete Model Coverage\u003c\/b\u003e - Poincar? disk, upper half-plane, and Klein projective models explained side-by-side with crystal-clear mappings.\u003cbr\u003e- \u003cb\u003eProof-Driven Approach\u003c\/b\u003e - From the independence of Euclid's fifth postulate to M?bius transformation matrices, every theorem is demonstrated step-by-step.\u003cbr\u003e- \u003cb\u003eHyperbolic Trigonometry Toolkit\u003c\/b\u003e - Laws of sines, cosines, and right-triangle identities ready for direct calculation.\u003cbr\u003e- \u003cb\u003eGeodesics \u0026amp; Isometries\u003c\/b\u003e - Master reflections, translations, rotations, and the elliptic-parabolic-hyperbolic classification that powers modern geometric group theory.\u003cbr\u003e- \u003cb\u003eTessellations \u0026amp; Tilings\u003c\/b\u003e - Build regular {p, q} mosaics, explore fundamental domains, and unlock the symmetry groups that tile the plane forever.\u003cbr\u003e- \u003cb\u003eCurvature \u0026amp; Metrics\u003c\/b\u003e - Understand Gaussian curvature, metric tensors, and why circles and areas explode exponentially with radius.\u003cbr\u003e- \u003cb\u003eClassroom to Research Ready\u003c\/b\u003e - Ideal for advanced undergraduates as a second course in geometry \u003ci\u003eand\u003c\/i\u003e a self-contained reference for graduate study or independent exploration.\u003cbr\u003e \u003c\/p\u003e\u003cp\u003e\u003cb\u003eWho Will Benefit\u003c\/b\u003e\u003c\/p\u003e\u003cp\u003e- Mathematicians seeking a rigorous yet accessible foundation.\u003cbr\u003e- Physicists and cosmologists modeling negatively curved space-time.\u003cbr\u003e- Computer scientists working on visualization, graphics, and network theory.\u003cbr\u003e- Educators needing a structured curriculum packed with proofs, diagrams, and problem sets.\u003cbr\u003e- Artists and designers inspired by hyperbolic tessellations and non-Euclidean perspective.\u003cbr\u003e \u003c\/p\u003e\u003cp\u003eEquip yourself with the knowledge to navigate curved space, calculate precise distances, and design extraordinary tilings that only hyperbolic geometry makes possible.\u003c\/p\u003e","brand":"Independently Published","offers":[{"title":"Paperback","offer_id":45559262740631,"sku":"9798281099899","price":3352.0,"currency_code":"INR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9798281099899.webp?v=1768595184","url":"https:\/\/atlanticbooks.com\/products\/hyperbolic-geometry-the-all-in-one-textbook-9798281099899","provider":"Atlantic Books","version":"1.0","type":"link"}