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Basic number theory

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Basic number theory Cover

 

Synopses & Reviews

Publisher Comments:

"Springer-Verlag began publishing books in higher mathematics in 1920, when the series Grundlehren der mathematischen Wissenschaften, initially conceived as a series of advanced textbooks, was founded by Richard Courant. A few years later, a new series Ergebnisse der Mathematik und Ihrer Grenzgebiete, survey reports of recent mathematical research, was added. Of over 400 books published in these series, many have become recognized classics and remain standard references for their subject. Springer is reissueing a selected few of these highly successful books in a new, inexpensive softcover edition to make them easily accessible to younger generations of students and researchers."

Synopsis:

From the reviews: "L.R. Shafarevich showed me the first edition [...] and said that this book will be from now on the book about class field theory. In fact it is by far the most complete treatment of the main theorems of algebraic number theory, including function fields over finite constant fields, that appeared in book form." Zentralblatt MATH

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.

Table of Contents

Elementary Theory: Locally compact fields.- Lattices and duality over local fields.- Places of A-fields.- Adeles.- Algebraic number fields.- The theorem of Riemann-Roch.- Zeta-functions of A-fields.- Traces and norms.- Classfield Theory: Simple algebras.- Simple algebras over local fields.- Simple algebras over A-fields.- Local classfield theory.- Global classfield theory.

Product Details

ISBN:
9783540586555
Author:
Weil, Andre
Publisher:
Springer
Location:
Berlin, Heidelberg
Subject:
Number Theory
Subject:
Class field theory
Subject:
Mathematics-Number Theory
Subject:
Mathematics
Subject:
The Arts
Subject:
mathematics and statistics
Copyright:
Edition Number:
3
Edition Description:
Reprint of the 2nd ed. Berlin, Heidelberg, New York 1973.
Series:
Classics in Mathematics
Publication Date:
February 1995
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
334
Dimensions:
235 x 155 mm 520 gr

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Related Subjects

Science and Mathematics » Chemistry » Organic
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Number Theory
Science and Mathematics » Physics » General

Basic number theory Used Trade Paper
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Product details 334 pages Springer,c1995. - English 9783540586555 Reviews:
"Synopsis" by , From the reviews: "L.R. Shafarevich showed me the first edition [...] and said that this book will be from now on the book about class field theory. In fact it is by far the most complete treatment of the main theorems of algebraic number theory, including function fields over finite constant fields, that appeared in book form." Zentralblatt MATH
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