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Linear Differential Equations and Group Theory from Riemann to Poincaré, Second Edition (Softcover)

Linear Differential Equations and Group Theory from Riemann to Poincaré, Second Edition (Softcover)

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LIKE NEW: This book is in excellent, like-new condition.

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From the back cover: "This book is a study of how a particular vision of the unity of mathematics, often called geometric function theory, was created in the 19th century. The central focus is on the convergence of three mathematical topics: the hypergeometric and related linear differential equations, group theory, and [non]-Euclidean geometry.

"The text for this second edition has been greatly expanded and revised, and the existing appendices enriched with historical accounts of the Riemann-Hilbert problem, the uniformization theorem, Picard-Vessiot theory, and the hypergeometric equation in higher dimensions. The exercises have been retained, making it possible to use the book as a companion to mathematics courses at the graduate level."

BRIEF CONTENTS

  • Introduction to the Second Edition
  • Introduction to the First Edition
  • Chapter I - Hypergeometric Equations and Modular Equations
  • Chapter II - Lazarus Fuchs
  • Chapter III - Algebraic Solutions to a Differential Equation
  • Chapter IV - Modular Equations
  • Chapter V - Some Algebraic Curves
  • Chapter VI - Automorphic Functions
  • Appendices
  • Notes
  • Bibliography
  • Historical List of Names
  • Index
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AUTHOR: Gray;Jeremy J.
PUBLISHER: Birkhauser
ISBN-13: 9780817647728
ISBN-10: 0817647724
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Linear Differential Equations and Group Theory from Riemann to Poincaré, Second Edition (Softcover)
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Linear Differential Equations and Group Theory from Riemann to Poincaré, Second Edition (Softcover)1801
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