Differential and Complex Geometry: Origins, Abstractions and Embeddings

Authors: Wells, Raymond

  • 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
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eBook 91,62 €
price for Spain (gross)
  • ISBN 978-3-319-58184-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-319-58183-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.

Reviews

“The author’s writing style is generally clear and inviting … . This is a valuable book. There is sure to be something useful in it for anybody who is interested in geometry, topology, analysis or the history of mathematics.” (Mark Hunacek, MAA Reviews, February, 2018)

“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)

Table of contents (15 chapters)

  • Algebraic Geometry

    Wells, Raymond O., Jr.

    Pages 5-16

    Preview Buy Chapter 30,19 €
  • Differential Geometry

    Wells, Raymond O., Jr.

    Pages 17-30

    Preview Buy Chapter 30,19 €
  • Projective Geometry

    Wells, Raymond O., Jr.

    Pages 33-47

    Preview Buy Chapter 30,19 €
  • Gauss and Intrinsic Differential Geometry

    Wells, Raymond O., Jr.

    Pages 49-58

    Preview Buy Chapter 30,19 €
  • Riemann’s Higher-Dimensional Geometry

    Wells, Raymond O., Jr.

    Pages 59-69

    Preview Buy Chapter 30,19 €

Buy this book

eBook 91,62 €
price for Spain (gross)
  • ISBN 978-3-319-58184-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-319-58183-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Differential and Complex Geometry: Origins, Abstractions and Embeddings
Authors
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-58184-2
DOI
10.1007/978-3-319-58184-2
Hardcover ISBN
978-3-319-58183-5
Edition Number
1
Number of Pages
XIV, 319
Number of Illustrations and Tables
29 b/w illustrations, 18 illustrations in colour
Topics