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Galois’ Dream: Group Theory and Differential Equations

  • Authors
  • Michio Kuga

Table of contents

  1. Front Matter
    Pages i-ix
  2. Pre-Mathematics

    1. Front Matter
      Pages 1-1
    2. Michio Kuga
      Pages 3-4
    3. Michio Kuga
      Pages 5-18
    4. Michio Kuga
      Pages 19-22
  3. Heave Ho! (Pull it Tight)

  4. Men Who Don’t Realize That Their Wives Have Been Interchanged

  5. Everyone has a tail

  6. Seeing Galois Theory

  7. Solvable or not?

  8. Back Matter
    Pages 141-150

About this book

Introduction

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 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 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.

English reading students now have the opportunity to enjoy this lively presentation and to follow the mind of an imaginative and creative mathematician into a world---not really so far removed---of enduring mathematical creations.

Keywords

Galois group Galois theory Group theory cls differential equation transformation

Bibliographic information