Overview
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: sn.pub/extras
Includes supplementary material: sn.pub/extras
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Table of contents (15 chapters)
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Front Matter
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Geometry in the Age of Enlightenment
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Front Matter
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Differential and Projective Geometry in the Nineteenth Century
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Front Matter
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Origins of Complex Geometry
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Front Matter
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Twentieth-Century Embedding Theorems
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Front Matter
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Keywords
About this book
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.
Reviews
“The book under review paves a wonderful pathway for introducing this fundamental chapter of mathematics to students: one can use this well-written volume to explain why certain results in differential and complex geometry are so crucial and important. This volume, a superb addition to the existent literature, is a work that should find its place in the library of every geometer and every topologist at work today.” (Bogdan D. Suceavă, Mathematical Reviews, 2018)
“The book provides the reader with both historical and technical information regarding various sub-fields of differential and complex geometry. Undoubtedly, the author spent a lot of time researching the tackled subjects and presenting notions in such a clear and fluent way within the manuscript … . Differential and Complex Geometry: Origins, Abstractions and Embeddings is a rather valuable and extensive work bringing together research topics which are usually studied separately.” (Diana Maimut, zbMATH, 2018)
Authors and Affiliations
Bibliographic Information
Book Title: Differential and Complex Geometry: Origins, Abstractions and Embeddings
Authors: Raymond O. Wells, Jr.
DOI: https://doi.org/10.1007/978-3-319-58184-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-58183-5Published: 09 August 2017
Softcover ISBN: 978-3-319-86342-9Published: 04 August 2018
eBook ISBN: 978-3-319-58184-2Published: 01 August 2017
Edition Number: 1
Number of Pages: XIV, 319
Number of Illustrations: 29 b/w illustrations, 18 illustrations in colour
Topics: Differential Geometry, Global Analysis and Analysis on Manifolds, Several Complex Variables and Analytic Spaces, Projective Geometry, Algebraic Topology