Differential and Complex Geometry: Origins, Abstractions and Embeddings
Author:   Raymond O. Wells, Jr.
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2017
ISBN:  

9783319581835


Pages:   319
Publication Date:   09 August 2017
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Differential and Complex Geometry: Origins, Abstractions and Embeddings


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Author:   Raymond O. Wells, Jr.
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2017
Weight:   6.269kg
ISBN:  

9783319581835


ISBN 10:   331958183
Pages:   319
Publication Date:   09 August 2017
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

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. Suceava, Mathematical Reviews, 2018)


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