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Galois' Dream: Group Theory and Differential Equations Michio Kuga

Galois' Dream: Group Theory and Differential Equations By Michio Kuga

Galois' Dream: Group Theory and Differential Equations by Michio Kuga


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Summary

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.

Galois' Dream: Group Theory and Differential Equations Summary

Galois' Dream: Group Theory and Differential Equations: Group Theory and Differential Equations by Michio Kuga

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. 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.

Galois' Dream: Group Theory and Differential Equations Reviews

Galois' theory of equations remains the standard culmination of advanced undergraduate algebra courses...and Kuga makes this the basis for an idiosyncratic geometric exposition of Galois theory... There is nothing like this book in the literature. Highly recommended.

-CHOICE

Table of Contents

Preface.-Pre-Mathematics.-No Prerequisites.-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 Subgroups of pi1(D;O).-Seeing Galois Theory.-Continuous Functions of Covering Surfaces.-Solvable or Not?.-Differential Equations.-Elementary methods of Solving Differential Equations.-Regular Singularities.-Differential Equations of Fuchsian Type.-References.-Notation.-Index.

Additional information

NLS9781461267102
9781461267102
1461267102
Galois' Dream: Group Theory and Differential Equations: Group Theory and Differential Equations by Michio Kuga
New
Paperback
Springer-Verlag New York Inc.
2012-10-23
150
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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Customer Reviews - Galois' Dream: Group Theory and Differential Equations