Elliptic Functions according to Eisenstein and Kronecker
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Beschreibung
"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
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. (A. Fröhlich)
Autor*in
Andre Weil
Themen in »Elliptic Functions according to Eisenstein and Kronecker«
Etch Lattice Outlook algebraic number theory development elliptic function elliptic functions equation form function history of mathematics mathematics number theory society story
Stimmen zu »Elliptic Functions according to Eisenstein and Kronecker«
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."
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