Chapter I The Regular Solids and the Theory of Groups

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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

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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.Statement of the Question.
- 2.Preliminary Notions of the Group-Theory
- 3.The Cyclic Rotation Groups
- 4.The Group of theDihedral Rotations.
- 5.The Quadratic Group.
- 6.The Group of the Tetrahedral Rotations.
- 7.The Group of the Octahedral Rotations
- 8.The Group of the Icosahedral Rotations
- 9.On the Planes of Symmetry inOur Configurations
- 10.General Groups of Points—Fundamental Domains
- 11.The Extended Groups
- 12.Generation of the IcosahedralGroup.
- 13.Generation of the Other Groups of Rotations.

Chapter I The Regular Solids and the Theory of Groups

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