Geometry in History

Edited by S. G. Dani () and Athanase Papadopoulos ()

in Springer Books from Springer

Date: 2019
ISBN: 978-3-030-13609-3
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Chapters in this book:

Ch Chapter 1 Plato on Geometry and the Geometers

Stelios Negrepontis

Ch Chapter 10 Poincaré’s Geometric Worldview and Philosophy

Ken’ichi Ohshika

Ch Chapter 11 Perturbing a Planar Rotation: Normal Hyperbolicity and Angular Twist

Alain Chenciner

Ch Chapter 12 René Thom and an Anticipated h-Principle

François Laudenbach

Ch Chapter 13 Rigid and Flexible Facets of Symplectic Topology

Yakov Eliashberg

Ch Chapter 14 Flat Affine, Projective and Conformal Structures on Manifolds: A Historical Perspective

William M. Goldman

Ch Chapter 15 Basic Aspects of Differential Geometry

Marc Chaperon

Ch Chapter 16 The Global Study of Riemannian-Finsler Geometry

Katsuhiro Shiohama and Bankteshwar Tiwari

Ch Chapter 17 The Poincaré Conjecture and Related Statements

Valerii N. Berestovskii

Ch Chapter 18 A Glimpse into the Problems of the Fourth Dimension

Valentin Poénaru

Ch Chapter 19 Memories from My Former Life: The Making of a Mathematician

Valentin Poénaru

Ch Chapter 2 Topology and Biology: From Aristotle to Thom

Athanase Papadopoulos

Ch Chapter 3 Time and Periodicity from Ptolemy to Schrödinger: Paradigm Shifts vs Continuity in History of Mathematics

Yuri I. Manin

Ch Chapter 4 Convexity in Greek Antiquity

Athanase Papadopoulos

Ch Chapter 5 On the Concept of Curve: Geometry and Algebra, from Mathematical Modernity to Mathematical Modernism

Arkady Plotnitsky

Ch Chapter 6 From Euclid to Riemann and Beyond: How to Describe the Shape of the Universe

Toshikazu Sunada

Ch Chapter 7 A Path in History, from Curvature to Convexity

Annette A’Campo-Neuen and Athanase Papadopoulos

Ch Chapter 8 The Axiomatic Destiny of the Theorems of Pappus and Desargues

Victor Pambuccian and Celia Schacht

Ch Chapter 9 Projective Configuration Theorems: Old Wine into New Wineskins

Serge Tabachnikov

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DOI: 10.1007/978-3-030-13609-3

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