Description
The Elements of Non-Euclidean Geometry provides a thorough examination of geometric systems that deviate from classical Euclidean axioms. D. M.Y. Sommerville presents a systematic exploration of hyperbolic and elliptic geometries, demonstrating how mathematical spaces can function under different fundamental assumptions.
This text covers the historical development of non-Euclidean geometry, the implications of rejecting Euclid’s parallel postulate, and detailed treatments of curved space geometries. Sommerville’s clear exposition makes complex mathematical concepts accessible while maintaining mathematical rigor. The work includes geometric theorems, proofs, and practical applications relevant to modern mathematics and physics.
Published by Gyan Publishing House, this edition serves as both an educational resource for advanced students and a reference for mathematicians and scientists studying alternative geometric frameworks and their real-world applications in relativity theory and modern topology.
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