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Catalogue Information
Field name	Details
Dewey Class	515.7
Title	Hidden Harmony-Geometric Fantasies ([Ebook]) : The Rise of Complex Function Theory / by Umberto Bottazzini, Jeremy Gray.
Author	Bottazzini, Umberto
Added Personal Name	Gray, Jeremy J. , 1947-
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer
Publication	, 2013.
Physical Details	XVII, 848 p. 38 illus., 2 illus. in color. : online resource.
Series	Sources and studies in the history of mathematics and physical sciences
ISBN	9781461457251
Summary Note	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is the first history of mathematics devoted to complex function theory, and it draws on a wide range of published and unpublished sources.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 subjectâCauchy, Riemann, and Weierstrassâit looks at the contributions of great mathematicians from dâAlembert to PoincarÃ©, 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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4614-5725-1
Links to Related Works	Subject References: Functional Analysis . Functions of a Complex Variable . Functions of complex variables . Mathematics . Number Theory . Authors: author . Bottazzini, Umberto . Gray, Jeremy J. 1947- . Corporate Authors: SpringerLink (Online service) . Series: Sources and studies in the history of mathematics and physical sciences . Classification: 515.7 . 515.7 (DDC 23) .

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Hidden Harmony-Geometric Fantasies: The Rise of Complex Function Theory

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