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| Genre/Form: | History |
|---|---|
| Document Type: | Book |
| All Authors / Contributors: |
S G Dani; Athanase Papadopoulos |
| ISBN: | 9783030136086 3030136086 |
| OCLC Number: | 1083024109 |
| Description: | xvi, 750 pages ; 25 cm |
| Contents: | Plato on geometry and the geometers / Stelios Negrepontis -- Topology and biology : from Aristotle to Thom / Athanase Papadopoulos -- Time and periodicity from Ptolemy to Schrödinger : paradigm shifts vs continuity in history of mathematics / Yuri I. Manin -- Convexity in Greek antiquity / Athanase Papadopoulos -- On the concept of curve : geometry and algebra, from mathematical modernity to mathematical modernism / Arkady Plotnitsky -- From Euclid to Riemann and beyond : how to describe the shape of the universe / Toshikazu Sunada -- A path in history, from curvature to convexity / Annette A'Campo-Neuen and Athanase Papadopoulos -- The axiomatic destiny of the theorems of Pappus and Desargues / Victor Pambuccian and Celia Schacht -- Projective configuration theorems : old wine into new wineskins / Serge Tabachnikov -- Poincaré's geometric worldview and philosophy / Ken'ichi Ohshika -- Perturbing a planar rotation : normal hyperbolicity and angular twist / Alain Chenciner -- René Thom and an anticipated h-principle / François Laudenbach -- Rigid and flexible facets of symplectic topology / Yakov Eliashberg -- Flat affine, projective and conformal structures on manifolds : a historical perspective / William M. Goldman -- Basic aspects of differential geometry / Marc Chaperon -- The global study of Riemannian-Finsler geometry / Katsuhiro Shiohama and Bankteshwar Tiwari -- The Poincaré conjecture and related statements / Valerii N. Berestovskii -- A glimpse into the problems of the fourth dimension / Valentin Poénaru -- Memories from my former life : the making of a mathematician / Valentin Poénaru. |
| Responsibility: | S.G. Dani, Athanase Papadopoulos, editors. |
Abstract:
This is a collection of surveys on important mathematical ideas, their origin, their evolution and their impact in current research. The authors are mathematicians who are leading experts in their fields. The book is addressed to all mathematicians, from undergraduate students to senior researchers, regardless of the specialty.
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