Differential and Complex Geometry: Origins...

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Sprache: Englisch

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Beschreibung

Differential and complex geometry are two central areas of mathematics with a long and intertwined history. This book, the first to provide a unified historical perspective of both subjects, explores their origins and developments from the sixteenth to the twentieth century.

Providing a detailed examination of the seminal contributions to differential and complex geometry up to the twentieth-century embedding theorems, this monograph includes valuable excerpts from the original documents, including works of Descartes, Fermat, Newton, Euler, Huygens, Gauss, Riemann, Abel, and Nash.

Suitable for beginning graduate students interested in differential, algebraic or complex geometry, this book will also appeal to more experienced readers.

Zusammenfassung

First book to outline the history of both differential and complex geometry in parallel

Includes quotes and scans from original documents

Considers mathematical knowledge known at the time of the key geometers

Includes supplementary material: [...]

Inhaltsverzeichnis

Introduction.- Part I. Geometry in the Age of Enlightenment.- Algebraic Geometry.- Differential Geometry.- Part II. Differential and Projective Geometry in the Nineteenth Century.- Projective Geometry.- Gauss and Intrinsic Differential Geometry.- Riemann's Higher-Dimensional Geometry.- Part III. Origins of Complex Geometry.- The Complex Plane.- Elliptic and Abelian Integrals.- Elliptic Functions.- Complex Analysis.- Riemann Surfaces.- Complex Geometry at the End of the Nineteenth Century.- Part IV. Twentieth-Century Embedding Theorems.- Differentiable Manifolds.- Riemannian Manifolds.- Compact Complex Manifolds.- Noncompact Complex Manifolds.

Details

Erscheinungsjahr:	2017
Fachbereich:	Geometrie
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xiv 319 S. 29 s/w Illustr. 18 farbige Illustr. 319 p. 47 illus. 18 illus. in color.
ISBN-13:	9783319581835
ISBN-10:	331958183X
Sprache:	Englisch
Herstellernummer:	978-3-319-58183-5
Einband:	Gebunden
Autor:	Wells, Jr.
Auflage:	1st edition 2017
Hersteller:	Springer International Publishing Springer International Publishing AG
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 24 mm
Von/Mit:	Jr. Wells
Erscheinungsdatum:	09.08.2017
Gewicht:	0,67 kg