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Non-Euclidean Geometry Explained: Hyperbolic and Spherical Models, Curved Space, and Mathematical Worlds

Kindle Edition or EPUB + Converted PDF نویسندگان: Oliver J. Thatch, Alice Schwartz
جزئیات
فرمت: Kindle Edition or EPUB + Converted PDF ناشر: Reactive Publishing تاریخ انتشار نسخه الکترونیکی : May 13, 2026
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لینک: https://www.amazon.com/dp/B0H1KT8ZPY
توضیحات
Reactive PublishingNon-Euclidean Geometry Explained is a clear introduction to the mathematical ideas that emerge when geometry moves beyond the familiar flat plane.This book explores how hyperbolic and spherical models change the way we think about lines, angles, triangles, distance, curvature, and space itself. Instead of treating geometry as a fixed set of rules, it shows how different assumptions create different mathematical worlds, each with its own internal logic and structure.Designed for readers who want a thoughtful, accessible path into one of mathematics’ most fascinating areas, the book connects core concepts with visual intuition, historical context, and practical mathematical reasoning. Topics include Euclid’s parallel postulate, the rise of alternative geometries, curved surfaces, geodesics, spherical triangles, hyperbolic space, and the broader meaning of geometry in modern mathematics.Whether you are a student, educator, independent learner, or mathematically curious reader, this book provides a structured guide to understanding how geometry expands when space is no longer assumed to be flat.Inside, you will explore:The difference between Euclidean and non-Euclidean geometryWhy the parallel postulate changed the history of mathematicsHow hyperbolic and spherical models workWhat curvature means in mathematical spacesHow triangles, lines, and distance behave on curved surfacesWhy non-Euclidean ideas matter in mathematics, physics, and spatial reasoningNon-Euclidean Geometry Explained offers a grounded, readable guide to curved space and the mathematical worlds beyond ordinary geometry.
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