{ "item_title" : "Hyperbolic Geometry", "item_author" : [" Haneul Choi "], "item_description" : "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.", "item_img_path" : "https://covers4.booksamillion.com/covers/bam/9/79/828/109/9798281099899_b.jpg", "price_data" : { "retail_price" : "39.99", "online_price" : "39.99", "our_price" : "39.99", "club_price" : "39.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

Overview

Customers Also Bought

Details