Geometries UNITEXT Book 178 (Ioannis D. Platis)

English | March 22, 2026 | ISBN-10: 3032080150 | 367 pages| Epub PDF (True) | 36 MB

The work is an exploration to geometry that transcends traditional approaches, placing Felix Klein’s transformative Erlangen Program firmly at its heart. It aims to reveal the essence of geometry through the unifying power of transformation groups and their actions on space. Klein’s genius was to define each geometry by the group of transformations that preserve its fundamental properties. This book makes this powerful conceptual framework accessible and compelling. The reader is guided through this perspective, demonstrating how the structure and symmetries of each geometric realm – Euclidean, Similarity, Affine, Spherical, Projective, Inversive, Hyperbolic – are fundamentally defined and understood by the transformations that leave them invariant.

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📌 978-3-032-08016-5.epub (Ioannis D. Platis) (2026) (24.42 MB)
📌 978-3-032-08016-5.pdf (11.68 MB)

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⭐️ Geometries UNITEXT Book 178 ✅ (37.11 MB)
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