Galois’ Dream: Group Theory and Differential Equations: Group Theory and Differential Equations

Michio Kuga

Springer Science & Business Media, Dec 6, 2012 - Mathematics - 150 pages

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. English reading students now have the opportunity to enjoy this lively presentation, from elementary ideas to cartoons to funny examples, and to follow the mind of an imaginative and creative mathematician into a world of enduring mathematical creations.

Contents

• Oth Week: 3
• 3rd Week: 19
• Heave Ho Pull it Tight: 45
• 8th Week: 53
• 12th Week: 77
• 14th Week: 89
• 16th Week: 105
• References: 141

Bibliographic information

• Title: Galois’ Dream: Group Theory and Differential Equations: Group Theory and Differential Equations; Mathematics and Statistics; Mathematics and Statistics (R0)
• Author: Michio Kuga
• Translated by: Susan Addington, Motohico Mulase
• Edition: illustrated
• Publisher: Springer Science & Business Media, 2012
• ISBN: 1461203295, 9781461203292
• Length: 150 pages
• Subjects: Mathematics / Algebra / Abstract; Mathematics / Algebra / General; Mathematics / Differential Equations / General; Mathematics / Mathematical Analysis