图书信息
图书目录
域论及其经典问题（Field Theory and Its Classical Problems）（影印版）
暂无简介
作者：
Charles Robert Hadlock
定价：
135.00 元
出版时间：
2026-03-27
ISBN：
978-7-04-065926-9
物料号：
65926-00
读者对象：
学术著作
一级分类：
自然科学
二级分类：
数学与统计
三级分类：
代数学
重点项目：
暂无
版面字数：
340.00千字
开本：
16开
装帧形式：
精装
版次：
1
最新版次印刷时间：
2026-01-09
- 前辅文
- INTRODUCTION
- CHAPTER1 - THE THREE GREEK PROBLEMS
- 1.1 Constructible Lengths
- 1.2 Doubling the Cube
- 1.3 Trisecting the Angle
- 1.4 Squaring the Circle
- 1.5 Polynomials and Their Roots
- 1.6 Symmetric Functions
- 1.7 The Transcendence of π
- References and Notes
- CHAPTER 2 - FIELD EXTENSIONS
- 2.1 Arithmetic of Polynomials
- 2.2 Simple, Multiple, and Finite Extensions
- 2.3 Geometric Constructions Revisited
- 2.4 Roots of Complex Numbers
- 2.5 Constructibility of Regular Polygons I
- 2.6 Congruences
- 2.7 Constructibility of Regular Polygons II
- References and Notes
- CHAPTER 3 - SOLUTION BY RADICALS
- 3.1 Statement of the Problem
- 3.2 Automorphisms and Groups
- 3.3 The Group of an Extension
- 3.4 Two Fundamental Theorems
- 3.5 Galois' Theorem
- 3.6 Abel's Theorem
- 3.7 Some Solvable Equations
- References and Notes
- CHAPTER 4 - POLYNOMIALS WITH SYMMETRIC GROUPS
- 4.1 Background Information
- 4.2 Hilbert's Irreducibility Theorem
- 4.3 Existence of Polynomials over Q with Group Sn
- References and Notes
- SOLUTIONS TO THE PROBLEMS
- INDEX
