Step 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 see , measure , and command the geometry of negative curvature-whether you are a mathematics major, a graduate researcher, a theoretical physicist, or an artist chasing Escher-like tessellations. What Sets This Book Apart - Complete Model Coverage - Poincar??? disk, upper half-plane, and Klein projective models explained side ...
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Step 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 see , measure , and command the geometry of negative curvature-whether you are a mathematics major, a graduate researcher, a theoretical physicist, or an artist chasing Escher-like tessellations. What Sets This Book Apart - Complete Model Coverage - Poincar??? disk, upper half-plane, and Klein projective models explained side-by-side with crystal-clear mappings. - Proof-Driven Approach - From the independence of Euclid's fifth postulate to M???bius transformation matrices, every theorem is demonstrated step-by-step. - Hyperbolic Trigonometry Toolkit - Laws of sines, cosines, and right-triangle identities ready for direct calculation. - Geodesics & Isometries - Master reflections, translations, rotations, and the elliptic-parabolic-hyperbolic classification that powers modern geometric group theory. - Tessellations & Tilings - Build regular {p, q} mosaics, explore fundamental domains, and unlock the symmetry groups that tile the plane forever. - Curvature & Metrics - Understand Gaussian curvature, metric tensors, and why circles and areas explode exponentially with radius. - Classroom to Research Ready - Ideal for advanced undergraduates as a second course in geometry and a self-contained reference for graduate study or independent exploration. Who Will Benefit - Mathematicians seeking a rigorous yet accessible foundation. - Physicists and cosmologists modeling negatively curved space-time. - Computer scientists working on visualization, graphics, and network theory. - Educators needing a structured curriculum packed with proofs, diagrams, and problem sets. - Artists and designers inspired by hyperbolic tessellations and non-Euclidean perspective. Equip yourself with the knowledge to navigate curved space, calculate precise distances, and design extraordinary tilings that only hyperbolic geometry makes possible.
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Add this copy of Hyperbolic Geometry: The All in One Textbook to cart. $41.20, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2025 by Independently Published.
Add this copy of Hyperbolic Geometry: the All in One Textbook (Haneul to cart. $46.14, new condition, Sold by Just one more Chapter rated 3.0 out of 5 stars, ships from Miramar, FL, UNITED STATES, published 2025 by Independently published.
