{"product_id":"hyperbolic-geometry-haneul-choi-9798281099899","title":"Hyperbolic Geometry: The All in One Textbook","description":"\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.\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 - Poincaré 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 Möbius 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.\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.\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\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Haneul Choi\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9798281099899\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Independently Published\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 04\/23\/2025\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 372\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.09lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 0.77d","brand":"Haneul Choi","offers":[{"title":"Paperback","offer_id":48113903632639,"sku":"9798281099899","price":39.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_be973f02-4792-4740-b30c-9d93b2a282cd.jpg?v=1769617870","url":"https:\/\/www.whiterainbookhouse.com\/products\/hyperbolic-geometry-haneul-choi-9798281099899","provider":"WR Book House","version":"1.0","type":"link"}