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Home > Mathematics and Science Textbooks > Mathematics > Geometry > Non-Euclidean geometry > Hyperbolic Geometry: The All in One Textbook(Haneul Choi Mathematics Textbooks)
Hyperbolic Geometry: The All in One Textbook(Haneul Choi Mathematics Textbooks)

Hyperbolic Geometry: The All in One Textbook(Haneul Choi Mathematics Textbooks)


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About the Book

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 - Poincaré 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 Möbius 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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Product Details
  • ISBN-13: 9798281099899
  • Publisher: Independently Published
  • Publisher Imprint: Independently Published
  • Height: 229 mm
  • No of Pages: 372
  • Returnable: N
  • Spine Width: 20 mm
  • Weight: 548 gr
  • ISBN-10: 8281099895
  • Publisher Date: 23 Apr 2025
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Series Title: Haneul Choi Mathematics Textbooks
  • Sub Title: The All in One Textbook
  • Width: 152 mm


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