代数とガロア理論<br>Algebra with Galois Theory (Courant Lecture Notes)

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代数とガロア理論
Algebra with Galois Theory (Courant Lecture Notes)

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  • 製本 Paperback:紙装版/ペーパーバック版
  • 言語 ENG
  • 商品コード 9780821841297
  • DDC分類 512.32

基本説明

This classical algebra text covers many topics, including rings and fields, polynomials, Galois theory, polynomials with integral coefficients, and more.

Full Description

The present text was first published in 1947 by the Courant Institute of Mathematical Sciences of New York University. Published under the title Modern Higher Algebra. Galois Theory, it was based on lectures by Emil Artin and written by Albert A. Blank. This volume became one of the most popular in the series of lecture notes published by Courant. Many instructors used the book as a textbook, and it was popular among students as a supplementary text as well as a primary textbook. Because of its popularity, Courant has republished the volume under the new title Algebra with Galois Theory. Information for our distributors: Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.

Contents

Groups Rings and fields Polynomials. Factorization into primes. Ideals Solution of the general equation of $n$th degree. Residue classes. Extension fields. Isomorphisms Galois theory Polynomials with integral coefficients The theory of equations.