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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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目录
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.First Presentation and Survey of the Developments of This Chapter
2.On Those Linear Transformations of (x +i y) WhichCorrespond to Rotations Round the Centre
3.Homogeneous Linear Substitutions—Their Composition.
4.Return to the Groups of Substitutions—the Cyclic and DihedralGroups
5.The Groups of the Tetrahedron andOctahedron
6.The IcosahedralGroup.
7.Non-Homogeneous Substitutions—Consideration of the Extended Groups.
8.Simple Isomorphism in the Case of Homogeneous Groups of Substitutions
9.Invariant Forms Belonging to a Group—The Set of Forms for the Cyclic andDihedralGroups
10.Preparation for the Tetrahedral andOctahedral Forms.
11.The Set of Forms for the Tetrahedron.
12.The Set of Forms for the Octahedron
13.The Set of Forms for the Icosahedron.
14.The Fundamental Rational Functions
15.Remarks on the Extended Groups
Chapter II Introduction of (x +i y)
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