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Collected Papers I

Contributions to Number Theory

Ernst Eduard Kummer (Autor)

André Weil (Herausgeber)

Buch | Softcover

VIII, 957 Seiten

2015 | 1. Aufl. 1975, Reprint 2015 of the 1975 edition
Springer Berlin (Verlag)
978-3-662-48832-4 (ISBN)

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From the reviews: "The broad lines of Kummer'snumber-theoretic ideas now form an essential part of our heritage: it isfascinating to follow the details of their evolution... Volume I consists of Kummer'snumber theory. It constitutes a unity of thought and spirit almost from firstsentence to last. One of the joys of reading it is in the double spectacle: thesteady train of mathematical content, unimpeded by lack of basic algebraicnumber theory; while here and there, to serve problems at hand, the deft,unobtrusive forging of pieces of present day technique. It is not hard to getinto, even for those of us who have had little contact with the history of oursubject. Cleft though one may think one is from historical sources, on readingKummer one finds that the rift is jumpable, the jump pleasurable. The readeris greatly helped in this jump in two ways. Firstly, included in the volume is acontinuum of well-written, moving letters from Kummer to Kronecker givingthe details of manyof Kummer's important discoveries as they freshlyoccurred to him (these, together with some letters from Kummer to his mother, form part of a description of Kummer's work by Hensel on theoccasion of the centenary of Kummer's birth, also included in the volume).Secondly, there is an excellent introduction, in which Weil describes the mainlines of Kummer's work, and explains its relations to Kummer's contemporaries,and to us."

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.

Erscheinungsdatum	01.12.2015
Reihe/Serie	Springer Collected Works in Mathematics
Zusatzinfo	VIII, 957 S.
Verlagsort	Berlin
Sprache	deutsch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Abstract harmonic analysis • General algebraic systems • Klassenanzahl • Kreisteilung • mathematics and statistics • MSC 11-XX, 01A75 • Primzahlen • Reziprozitätsgesetze • Wurzeln • Zahlentheorie
ISBN-10	3-662-48832-9 / 3662488329
ISBN-13	978-3-662-48832-4 / 9783662488324
Zustand	Neuware