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Hidden Harmony—Geometric Fantasies : The Rise of Complex Function Theory / by Umberto Bottazzini, Jeremy Gray
(Sources and Studies in the History of Mathematics and Physical Sciences)

データ種別 電子ブック
出版情報 New York, NY : Springer New York : Imprint: Springer , 2013
本文言語 英語
大きさ XVII, 848 p. 38 illus., 2 illus. in color : online resource

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EB0127677

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内容注記 List of Figures
Introduction
1. Elliptic Functions
2. From real to complex
3. Cauch
4. Elliptic integrals
5. Riemann
6. Weierstrass
7. Differential equations
8. Advanced topics
9. Several variables
10. Textbooks
一般注記 Hidden Harmony—Geometric Fantasies describes the history of complex function theory from its origins to 1914, when the essential features of the modern theory were in place. It is the first history of mathematics devoted to complex function theory, and it draws on a wide range of published and unpublished sources. In addition to an extensive and detailed coverage of the three founders of the subject—Cauchy, Riemann, and Weierstrass—it looks at the contributions of great mathematicians from d’Alembert to Poincaré, and Laplace to Weyl. Select chapters examine the rise and importance of elliptic function theory, differential equations in the complex domain, geometric function theory, and the early years of complex function theory in several variables. Unique emphasis has been placed on the creation of a textbook tradition in complex analysis by considering some seventy textbooks in nine different languages. This book is not a mere sequence of disembodied results and theories, but offers a comprehensive picture of the broad cultural and social context in which the main players lived and worked by paying attention to the rise of mathematical schools and of contrasting national traditions. This work is unrivaled for its breadth and depth, both in the core theory and its implications for other fields of mathematics. It is a major resource for professional mathematicians as well as advanced undergraduate and graduate students and anyone studying complex function theory
著者標目 *Bottazzini, Umberto author
Gray, Jeremy author
SpringerLink (Online service)
件 名 LCSH:Mathematics
LCSH:Functional analysis
LCSH:Functions of complex variables
LCSH:History
LCSH:Number theory
FREE:Mathematics
FREE:Functional Analysis
FREE:History of Mathematical Sciences
FREE:Functions of a Complex Variable
FREE:Number Theory
分 類 DC23:515.7
巻冊次 ISBN:9781461457251 REFWLINK
ISBN 9781461457251
URL http://dx.doi.org/10.1007/978-1-4614-5725-1
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