Linear Differential Equations and Group Theory from Riemann to Poincare / Edition 2

Paperback (Print)
Buy New
Buy New from
Used and New from Other Sellers
Used and New from Other Sellers
from $34.11
Usually ships in 1-2 business days
(Save 24%)
Other sellers (Paperback)
  • All (12) from $34.11   
  • New (8) from $34.11   
  • Used (4) from $39.99   


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.

Read More Show Less

Editorial Reviews

From the Publisher

"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)

Read More Show Less

Product Details

  • ISBN-13: 9780817647728
  • Publisher: Birkhauser Verlag
  • Publication date: 1/21/2008
  • Series: Modern Birkhauser Classics Series
  • Edition description: 2nd ed. 1996
  • Edition number: 2
  • Pages: 338
  • Sales rank: 1,364,249
  • Product dimensions: 6.10 (w) x 9.10 (h) x 0.80 (d)

Table of Contents

Hypergeometric Equations.- Lazarus Fuchs.- Algebraic Solutions to a Differential Equation.- Modular Equations.- Some Algebraic Curves.- Automorphic Functions.
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)