Galois' dream : group theory and differential equations /
First year, undergraduate, mathematics students in Japan have for many years had the opportunity of a unique experience---an introduction, at an elementary level, to some very advanced ideas in mathematics from one of the leading mathematicians of the world. Michio Kuga??'s lectures on Group Th...
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| Format: | Book |
| Language: | English Japanese |
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Boston :
Birkhäuser,
[1993], ©1993
Boston : Birkhäuser, c1993 Boston : c1993 Boston : ©1993 Boston : [1993] |
| Subjects: |
Table of Contents:
- Pre-Mathematics. No prerequisites. Sets and Maps. Equivalence Classes. The Story of Free Groups
- Heave Ho! (Pull it Tight). Fundamental Groups of Surfaces. Fundamental Groups. Examples of Fundamental Groups. Examples of Fundamental Groups, continued
- Men Who Don't Realize That Their Wives Have Been Interchanged. Coverings. Covering Surfaces and Fundamental Groups. Covering Surfaces and Fundamental Groups, continued. The Group of Covering Transformations
- Everyone Has a Tail. The Universal Covering Space. The Correspondence Between Coverings of (D;O) and Subgroups of [(pi)(subscript 1)](D;O)
- Seeing Galois Theory. Continuous Functions on Covering Surfaces. Function Theory on Covering Surfaces
- Solvable or Not? Differential Equations
- Pre-Mathematics No prerequisites. Sets and Maps. Equivalence Classes. The Story of Free Groups
- Heave Ho! (Pull it Tight). Fundamental Groups of Surfaces. Fundamental Groups. Examples of Fundamental Groups. Examples of Fundamental Groups, continued
- Men Who Don't Realize That Their Wives Have Been Interchanged. Coverings. Covering Surfaces and Fundamental Groups. Covering Surfaces and Fundamental Groups, continued. The Group of Covering Transformations
- Everyone Has a Tail. The Universal Covering Space. The Correspondence Between Coverings of (D;O) and Subgroups of [(pi)(subscript 1)](D;O)
- Seeing Galois Theory. Continuous Functions on Covering Surfaces. Function Theory on Covering Surfaces
- Solvable or Not? Differential Equations. Elementary Methods of Solving Differential Equations. Regular Singularities. Differential Equations of Fuchsian Type.