Spherical Horizons
Navigating the Curves of Non-Euclidean Space
You're about to venture into a world where straight lines curve and triangles defy familiar rules. In "Spherical Horizons," you'll discover the fascinating realm of spherical geometry, where the surface of a sphere becomes your playground for mathematical exploration. As you progress through this book, you'll unravel the mysteries of great circles, learn to calculate distances across globes, and understand how spherical trigonometry shapes our understanding of navigation and astronomy. You'll see how the concepts you've known in planar geometry transform when applied to a curved surface, opening up new perspectives on shape, distance, and angle. This book doesn't just present abstract concepts; it connects spherical geometry to real-world applications. You'll explore how these principles are used in global positioning systems, understand their role in map projections, and see their influence in fields ranging from astronomy to computer graphics. By the end, you'll have a robust toolkit for thinking in three dimensions, ready to apply your knowledge to complex problems in science, engineering, and beyond.
Est. Length
300 pages (15 chapters)
Language
English
Publication date
Feb 7, 2025
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