Elliptic Functions according to Eisenstein and Kronecker (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge)

André Weil

ISBN 10: 3540074228 / ISBN 13: 9783540074229

Published by Springer, 1976

About this Item

No marks in text. Not a library book. Ships in a cardboard enclosure, from Tim's Used Books, open shop in Provincetown, Massachusetts. Founded 1991 on the principle of good books at sane prices. 10 31 23.

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Bibliographic Details

• Title: Elliptic Functions according to Eisenstein and Kronecker (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge)
• Publisher: Springer
• Publication Date: 1976
• Language: English
• ISBN 10: 3540074228
• ISBN 13: 9783540074229
• Binding: Hardcover
• Edition: 1st Edition
• Condition: Very Good

About this title

Synopsis

Drawn from the Foreword: (...) On the other hand, since much of the material in this volume seems suitable for inclusion in elementary courses, it may not be superfluous to point out that it is almost entirely self-contained. Even the basic facts about trigonometric functions are treated ab initio in Ch. II, according to Eisenstein's method. It would have been both logical and convenient to treat the gamma -function similarly in Ch. VII; for the sake of brevity, this has not been done, and a knowledge of some elementary properties of T(s) has been assumed. One further prerequisite in Part II is Dirichlet's theorem on Fourier series, together with the method of Poisson summation which is only a special case of that theorem; in the case under consideration (essentially no more than the transformation formula for the theta-function) this presupposes the calculation of some classical integrals. (...) As to the final chapter, it concerns applications to number theory (...).

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.