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丛书简介
力学基础与工程技术前沿
二十面体和5次方程的解的讲义(英文版)
作 者:
Felix Klein
ISBN:978-7-04-051022-5 出版时间:2019-05-27
全书目录
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前辅文
Part I Theory of the Icosahedron Itself
Chapter I The Regular Solids and the Theory of Groups
Chapter II Introduction of (x +i y)
Chapter III Statement and Discussion of the Fundamental Problem, According to the Theory of Functions
Chapter IV On the Algebraical Character of Our Fundamental Problem
Chapter V General Theorems and Survey of the Subject.
Part II Theory of Equations of the Fifth Degree
Chapter I The HistoricalDevelopment of the Theory of Equations of the Fifth Degree
Chapter II Introduction of GeometricalMaterial
Chapter III The Canonical Equations of the Fifth Degree
Chapter IV The Problem of the A’s and the Jacobian Equations of the Sixth Degree
Chapter V The General Equation of the Fifth Degree
Appendix
1.Estimation of our Process of Thought so far, and Generalisations Thereof
2.Determination of all Finite Groups of Linear Substitutions of a Variable
3.Algebraically Integrable Linear Homogeneous Differential Equations of the Second Order
4.Finite Groups of Linear Substitutions for a Greater Number of Variables.
5.Preliminary Glance at the Theory of Equations of the Fifth Degree,and Formulation of a General Algebraical Problem.
6.InfiniteGroups of Linear Substitutions of a Variable
7.Solution of the Tetrahedral, Octahedral, and Icosahedral Equations by EllipticModular Functions.
8.Formulae for the Direct Solution of the Simplest Resolvent of the SixthDegree for the Icosahedron
9.Significance of the Transcendental Solutions.
Chapter V General Theorems and Survey of the Subject.
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Chapter V General Theorems and Survey of the Subject.
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