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Title: Galois' Dream: Group Theory and Differential Equations by Michio Kuga, Susan Addington, Motohico Mulase ISBN: 0-8176-3688-9 Publisher: Springer Verlag Pub. Date: December, 1992 Format: Hardcover Volumes: 1 List Price(USD): $64.95

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Average Customer Rating: 3 (1 review)

Rating: 3
Summary: well-written but limited in scope
Comment: Ever since Galois theory has been used to solve polynomial equations, people have been trying to use analogous techniques to solve differential equations. That's what the title alludes to.

The book does not address what is known on the subject, however, and limits itself to Fuchsian differential equations which are historically important but not very general. The applications of group theory to this class is unlike the development of the subject to other ODEs.

The audience for this book seems to change as the book progresses. The first two lectures seem to be aimed at non-math majors. It progressively requires abstract algebra, topology, and complex analysis. The proper audience is probably a beginning mathematics graduate student, but you wouldn't guess by seeing the elementary level of the first few chapters.

For these students, though, I highly recommend it.