Items related to Elliptic Functions according to Eisenstein and Kronecker
Synopsis
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.
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Review
E. Hlwka, Monatshefte für Mathematik, Bd. 83, 1977, Heft 3: "This book does not fit into any normal framework and is not, as one might think, a historical work. It is one that contains too personal thoughts of A. Weil and that will most certainly have a fundamental role to play in the history of mathematics. It is warmly recommended reading for anyone interested to learn what is happening in mathematics now."
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.
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