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Geometry in History [2019]

1
Plato on Geometry and the Geometers
2
Topology and Biology: From Aristotle to Thom
3
Time and Periodicity from Ptolemy to Schrödinger: Paradigm Shifts vs Continuity in History of Mathematics
4
Convexity in Greek Antiquity
5
On the Concept of Curve: Geometry and Algebra, from Mathematical Modernity to Mathematical Modernism
6
From Euclid to Riemann and Beyond: How to Describe the Shape of the Universe
7
A Path in History, from Curvature to Convexity
8
The Axiomatic Destiny of the Theorems of Pappus and Desargues
9
Projective Configuration Theorems: Old Wine into New Wineskins
10
Poincaré’s Geometric Worldview and Philosophy
11
Perturbing a Planar Rotation: Normal Hyperbolicity and Angular Twist
12
René Thom and an Anticipated <italic>h</italic>-Principle
13
Rigid and Flexible Facets of Symplectic Topology
14
Flat Affine, Projective and Conformal Structures on Manifolds: A Historical Perspective
15
Basic Aspects of Differential Geometry
16
The Global Study of Riemannian-Finsler Geometry
17
The Poincaré Conjecture and Related Statements
18
A Glimpse into the Problems of the Fourth Dimension
19
Memories from My Former Life: The Making of a Mathematician
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