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Geometry in History
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Catalogue Record 49938
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Catalogue Information
Field name
Details
Dewey Class
516.5
Title
Geometry in History ([EBook] /) / edited by S. G. Dani, Athanase Papadopoulos.
Added Personal Name
Dani, S. G.
Papadopoulos, Athanase
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2019.
Publication
Cham : : Springer International Publishing : : Imprint: Springer, , 2019.
Physical Details
XVI, 750 p. 104 illus., 51 illus. in color. : online resource.
ISBN
9783030136093
Summary Note
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.:
Contents note
Plato on Geometry and the Geometers -- Topology and Biology: From Aristotle to Thom -- Time and eriodicity from Ptolemy to Schrödinger: Paradigm Shifts vs Continuity in History of Mathematics -- Convexity in Greek Antiquity -- On the Concept of Curve: Geometry and Algebra, fromMathematicalModernity to MathematicalModernism -- From Euclid to Riemann and Beyond: How to Describe the Shape of the Universe -- A Path in History, from Curvature to Convexity -- The Axiomatic Destiny of the Theorems of Pappus and Desargues -- Projective Configuration Theorems: Old Wine into New Wineskins -- Poincaré’s GeometricWorldview and Philosophy -- Perturbing a Planar Rotation: Normal Hyperbolicity and Angular Twist -- René Thom and an Anticipated h-Principle -- Rigid and Flexible Facets of Symplectic Topology -- Flat Affine, Projective and Conformal Structures on Manifolds: A Historical Perspective -- Basic Aspects of Differential Geometry -- The Global Study of Riemannian-Finsler Geometry -- The Poincaré Conjecture and Related Statements -- A Glimpse into the Problems of the Fourth Dimension -- Memories fromMy Former Life: The Making of a Mathematician -- Index.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-030-13609-3
Links to Related Works
Subject References:
Functions of a Complex Variable
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Functions of complex variables
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History
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History of Mathematical Sciences
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Mathematics
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Projective Geometry
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Topology
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Authors:
Dani, S. G.
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editor
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Papadopoulos, Athanase
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Corporate Authors:
SpringerLink (Online service)
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Classification:
516.5
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516.5 (DDC 23)
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