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Elliptic Functions according to Eisenstein and Kronecker
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Catalogue Information
Field name
Details
Dewey Class
512.7
Title
Elliptic Functions according to Eisenstein and Kronecker ([EBook]) / by André Weil.
Author
Weil, André , 1906-1998
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer , 1976.
Physical Details
IX, 94 pages : online resource.
Series
Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics
; 88
ISBN
9783642662096
Summary Note
"As a contribution to the history of mathematics, this is a model of its kind. While adhering to the basic outlook of Eisenstein and Kronecker, it provides new insight into their work in the light of subsequent developments, right up to the present day. As one would expect from this author, it also contains some pertinent comments looking into the future. It is not however just a chapter in the history of our subject, but a wide-ranging survey of one of the most active branches of mathematics at the present time. The book has its own very individual flavour, reflecting a sort of combined Eisenstein-Kronecker-Weil personality. Based essentially on Eisenstein's approach to elliptic functions via infinite series over lattices in the complex plane, it stretches back to the very beginnings on the one hand and reaches forward to some of the most recent research work on the other. (...) The persistent reader will be richly rewarded." A. Fröhlich, Bulletin of the London Mathematical Society, 1978.:
Contents note
I EISENSTEIN -- I Introduction -- II Trigonometric functions -- III The basic elliptic functions -- IV Basic relations and infinite products -- V Variation I -- VI Variation II -- II KRONECKER -- VII Prelude to Kronecker -- VIII Kronecker’s double series -- IX Finale: Allegro con brio (Pell’s equation and the Chowla-Selberg formula) -- Index of Notations.
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/10.1007/978-3-642-66209-6
Links to Related Works
Subject References:
Mathematics
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Number Theory
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Authors:
Weil, André 1906-1998
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Weil, André, 1906-1998
.
Corporate Authors:
SpringerLink (Online service)
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Series:
Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics
.
Classification:
512.7
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