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## Galois' Dream: Group Theory and Differential Equations (Hardback)"[The late] Michio Kuga's lectures on Group Theory and Differential Equations are a realization of two dreams—one to see Galois groups used to attack the problems of differential equations—the other to do so in such a manner as to take students from a very basic level to an understanding of the heart of this fascinating mathematical problem." — From the back cover ## $29.65 |

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Please contact us if you've got questions about this product.## Condition

**VERY GOOD:** This book is in very good condition, showing only slight signs of use and wear. It was printed on acid-free paper.

## Description

Continued from the back cover: “From elementary ideas to cartoons to funny examples (considered ‘undignified’ by many of his colleagues,) the author provided his students with a book that was considered ‘hip’ just to own, to be seen reading, and perhaps to be learning from. Many of his students went on to become good mathematicians, having fallen into the ‘crevasse’ of mathematical curiosity.”

Each chapter is intended to take a week. These lectures were originally presented to first year, undergraduate, mathematics students in Japan.

**Pre-Mathematics**

- No pre-requisites
- 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 the Subgroups of π(*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 Similarities
- Differential Equations of Fuchsian Type

The book ends with “References,” “Notation,” and “Index.”

## Details

- SKU:
- 3009
- Subject:
- Mathematics
- Author:
- Michio, Kugo
- Publisher:
- Birkhauser
- Publish Date:
- 1993 (Third Printing)
- Format:
- Hardback
- Weight (pounds):
- 1.09
- Dimensions (W”xL”xH”):
- 7.2″x10.3″x0.5″
- ISBN-13:
- 9780817636883
- ISBN-10:
- 0817636889
- Grade Level:
- College

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