
Linear Differential Equations and Group Theory from Riemann to Poincare
Jeremy Gray(Author)
Birkhauser Boston Inc (Publisher)
2nd Edition
Published on 13. April 2000
Book
Hardback
XX, 338 pages
978-0-8176-3837-5 (ISBN)
Description
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 second edition has been greatly expanded and revised, and the existing appendices enriched. The exercises have been retained, making it possible to use the book as a companion to mathematics courses at the graduate level.
Reviews / Votes
"If you want to know what mathematicians like Gauss, Euler and Dirichlet were doing...this book could be for you. It fills in many historical gaps, in a story which is largely unknown...This book is the result of work done by a serious historian of mathematics...If you are intrigued by such topics studied years ago but now largely forgotten...then read this book." -The Mathematical Gazette (on the second edition) "...must reading for every serious student of nineteenth century mathematics...represents a substantial contribution toward filling what is generally acknowledged to be an immense gap in the historical literature." -ISIS (on the first edition) "One among the most interesting books on the history of mathematics... Very stimulating reading for both historians of modern mathematics and mathematicians as well." --Mathematical Reviews (on the first edition) "The book contains an amazing wealth of material relating to the algebra, geometry, and analysis of the nineteenth century... Written with accurate historical perspective and clear exposition, this book is truly hard to put down." --Zentralblatt fur Mathematik (review of 1st edition)More details
Edition
2nd ed. 1996
Language
English
Place of publication
MA
United States
Target group
College/higher education
Professional and scholarly
Edition type
Revised edition
Illustrations
biography
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
694 gr
ISBN-13
978-0-8176-3837-5 (9780817638375)
DOI
10.1007/978-0-8176-4773-5
Schweitzer Classification
Other editions
Additional editions

Book
01/2008
2nd Edition
Birkhauser Boston Inc
€80.24
Shipment within 15-20 days
Previous edition
Book
01/2000
2nd Edition
Birkhäuser Verlag GmbH
€73.16
Article exhausted; check different version
Content
Hypergeometric Equations.- Lazarus Fuchs.- Algebraic Solutions to a Differential Equation.- Modular Equations.- Some Algebraic Curves.- Automorphic Functions.