Science/Engineering Jeremy J. Gray - Linear Differential Equations and Group Theory from Riemann to Poincare (0817638377)

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Jeremy J. Gray - Linear Differential Equations and Group Theory from Riemann to Poincare

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 on-Euclidean geometry.

The text for this new edition has been greatly expanded and revised, and the existing appendices enriched with historical accounts of the Riemann—Hilbert problem, the unformization 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.

This work continues to be the only up-to-date scholarly account of the history of a branch of mathematics that continues to generate important research, for which the mathematics has been the occasion for some of the most profound work by numbers 19th century figures: Riemann, Fuchs, Dedekind, Klein, and Poincaré.

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	Science/Engineering Galois Theory of Linear Differential Equations Galois Theory of Linear Differential Equations Publisher: Springer \| ISBN: 3540442286 \| edition 2003 \| PDF \| 478 pages \| 3 mbLinear differential equations form the central topic of this volume, with the Galois theory being the unifying the ...
	Nonfiction Linear Partial Differential Equations and Fourier Theory This is a textbook for an introductory course on linear partial differential equations and initial/boundary value problems. It also provides a mathematically rigorous introduction to basic Fourier analysis, which is the main tool used to so ...
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