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Elliptic Functions according to Eisenstein and Kronecker

  • Book
  • Dec 1998

Overview

  • This book contains a wealth of mathematics.
  • It proves that history of mathematics can be made genuinely interesting to active mathematicians; but that it will have to be done by an active mathematician, and by a master at that.

Part of the book series: Classics in Mathematics (CLASSICS)

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Table of contents (9 chapters)

  1. Eisenstein

  2. Kronecker

Keywords

About this book

"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

Authors and Affiliations

  • School of Mathematics, The Institute for Advanced Study, Princeton, USA

    André Weil

About the author

Biography of André Weil

André Weil was born on May 6, 1906 in Paris. After studying mathematics at the École Normale Supérieure and receiving a doctoral degree from the University of Paris in 1928, he held professorial positions in India, France, the United States and Brazil before being appointed to the Institute for Advanced Study, Princeton in 1958, where he remained until he died on August 6, 1998.

André Weil's work laid the foundation for abstract algebraic geometry and the modern theory of abelian varieties. A great deal of his work was directed towards establishing the links between number theory and algebraic geometry and devising modern methods in analytic number theory. Weil was one of the founders, around 1934, of the group that published, under the collective name of  N. Bourbaki, the highly influential multi-volume treatise Eléments de mathématique.

Bibliographic Information

  • Book Title: Elliptic Functions according to Eisenstein and Kronecker

  • Authors: AndrĂ© Weil

  • Series Title: Classics in Mathematics

  • DOI: https://doi.org/10.1007/978-3-642-66209-6

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1976

  • Series ISSN: 1431-0821

  • Series E-ISSN: 2512-5257

  • Edition Number: 1

  • Number of Pages: IX, 94

  • Additional Information: Originally published as Vol. 88 of the "Ergebnisse der Mathematik und ihrer Grenzgebiete"

  • Topics: Number Theory

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