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Mr Dragon at Thursday, November 24, 2011 , 0 Comments
Book Details :
Title : Elliptic Functions according to Eisenstein and Kronecker
Author : André Weil
Hardcover : 92 pages
Publisher : Springer-Verlag (1976)
Language : English
ISBN-10 : 0387074228
ISBN-13 : 978-0387074221
Size : 1.62 MB.
Type : Pdf.
Upload by : www.boxmaths.com
Book Description :
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.
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 author :
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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