Algebraic number theory
Author(s)
Bibliographic Information
Algebraic number theory
（Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze, v. 62 . Number theory ; 2）
Springer-Verlag, c1992
- : gw
- : us
- Other Title
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Number theory II
Teorii︠a︡ chisel 2
Number theory 2
Number theory two
Available at / 120 libraries
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Hokkaido University, Faculty and Graduate School of Engineering図書
: gwdc20:512.74/n9173570347514
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: gwdc20:512/p252070230101
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Note
Bibliography: p. [251]-261
Includes indexes
Description and Table of Contents
Description
Modern number theory dates from Gauss's quadratic reciprocity law. This law and other developments in number theory have led to a rich network of ideas, which has had effects throughout mathematics, in particular in algebra. This volume of the Encyclopaedia presents the main structures and results of algebraic number theory with emphasis on algebraic number fields and class field theory. Koch has written for the non-specialist. He assumes a general understanding of modern algebra and elementary number theory. A part of algebraic number theory serves as a basic science for other parts of mathematics, such as arithmetic algebraic geometry and the theory of modular forms. For this reason, the chapters on basic number theory, class field theory and Galois cohomology contain more detail than the others. This book is suitable for graduate students and research mathematicians who wish to become acquainted with the main ideas and methods of algebraic number theory.
Table of Contents
Contents: H. Koch, Algebraic Number Fields.
by "Nielsen BookData"