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Geometry in history

Dani, S. G.

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Geometry in history

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Geometry in history/ edited by S. G. Dani, Athanase Papadopoulos.
其他作者:	Dani, S. G.
出版者:	Cham :Springer International Publishing : : 2019.,
面頁冊數:	xvi, 750 p. :ill. (some col.), digital ;24 cm.
內容註:	Plato on Geometry and the Geometers -- Topology and Biology: From Aristotle to Thom -- Time and eriodicity from Ptolemy to Schrodinger: 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 -- Poincare's GeometricWorldview and Philosophy -- Perturbing a Planar Rotation: Normal Hyperbolicity and Angular Twist -- Rene 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 Poincare Conjecture and Related Statements -- A Glimpse into the Problems of the Fourth Dimension -- Memories fromMy Former Life: The Making of a Mathematician -- Index.
Contained By:	Springer eBooks
標題:	Geometry - History. -
電子資源:	https://doi.org/10.1007/978-3-030-13609-3
ISBN:	9783030136093

Geometry in history
Geometry in history[electronic resource] /edited by S. G. Dani, Athanase Papadopoulos. - Cham :Springer International Publishing :2019. - xvi, 750 p. :ill. (some col.), digital ;24 cm.

Plato on Geometry and the Geometers -- Topology and Biology: From Aristotle to Thom -- Time and eriodicity from Ptolemy to Schrodinger: 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 -- Poincare's GeometricWorldview and Philosophy -- Perturbing a Planar Rotation: Normal Hyperbolicity and Angular Twist -- Rene 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 Poincare Conjecture and Related Statements -- A Glimpse into the Problems of the Fourth Dimension -- Memories fromMy Former Life: The Making of a Mathematician -- Index.

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.

ISBN: 9783030136093

Standard No.: 10.1007/978-3-030-13609-3doiSubjects--Topical Terms:

552612
Geometry
--History.

LC Class. No.: QA443.5 / .G466 2019

Dewey Class. No.: 516.009

Geometry in history
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