Author | Kuga, Michio. author |
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Title | Galois' Dream: Group Theory and Differential Equations [electronic resource] / by Michio Kuga |
Imprint | Boston, MA : Birkhรคuser Boston : Imprint: Birkhรคuser, 1993 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-0329-2 |
Descript | IX, 150 p. online resource |
Pre-Mathematics -- 0th Week No prerequisites -- 1st Week Sets and Maps -- 2nd Week Equivalence Classes -- 3rd Week The Story of Free Groups -- Heave Ho! (Pull it Tight) -- 4th Week Fundamental Groups of Surfaces -- 5th Week Fundamental Groups -- 6th Week Examples of Fundamental Groups -- 7th Week Examples of Fundamental Groups, continued -- Men Who Don't Realize That Their Wives Have Been Interchanged -- 8th Week Coverings -- 9th Week Covering Surfaces and Fundamental Groups -- 10th Week Covering Surfaces and Fundamental Groups, continued -- 11th Week The Group of Covering Transformations -- Everyone Has a Tail -- 12th Week The Universal Covering Space -- 13th Week The Correspondence Between Coverings of (D; O) and Subgroups of ?1 (D; O) -- Seeing Galois Theory -- 14th Week Continuous Functions on Covering Surfaces -- 15th Week Function Theory on Covering Surfaces -- Solvable or Not? -- 16th Week Differential Equations -- 17th Week Elementary Methods of Solving Differential Equations -- 18th Week Regular Singularities -- 19th Week Differential Equations of Fuchsian Type -- References -- Notation