Power Search
Low Price Guarantee
We Take School POs
Sturm-Liouville Theory: Past and Present 2005 Edition
Contributor(s): Amrein, Werner O. (Editor), Hinz, Andreas M. (Editor), Pearson, David B. (Editor)

View larger image

 ISBN: 3764370661     ISBN-13: 9783764370664
Publisher: Birkhauser
OUR PRICE: $161.49  

Binding Type: Hardcover - See All Available Formats & Editions
Published: May 2005
Qty:
Temporarily out of stock - Will ship within 2 to 5 weeks

Annotation: This is a collection of survey articles based on lectures presented at a colloquium and workshop in Geneva in 2003 to commemorate the 200th anniversary of the birth of Charles Fran??ois Sturm. It aims at giving an overview of the development of Sturm-Liouville theory from its historical roots to present day research. It is the first time that such a comprehensive survey is made available in compact form. The contributions come from internationally renowned experts and cover a wide range of developments of the theory. The book can therefore serve both as an introduction to Sturm-Liouville theory and as background for ongoing research.
The text is particularly strong on the spectral theory of Sturm-Liouville equations, which has given rise to a major branch of modern analysis. Among other current aspects of the theory discussed are oscillation theory for differential equations and Jacobi matrices, approximation of singular boundary value problems by regular ones, applications to systems of differential equations, extension of the theory to partial differential equations and to non-linear problems, and various generalizations of Borg's inverse theory. A unique feature of the book is a comprehensive catalogue of Sturm-Liouville differential equations covering more than fifty examples, together with their spectral properties. Many of these examples are connected with special functions and with problems in mathematical physics and applied mathematics.
The volume is addressed to researchers in related areas, to advanced students and to those interested in the historical development of mathematics. The book will also be of interest to those involved in applications of the theory todiverse areas such as engineering, fluid dynamics and computational spectral analysis.
Additional Information
BISAC Categories:
- Mathematics | Mathematical Analysis
- Mathematics | Differential Equations - General
Dewey: 515.35
LCCN: 2005047843
Physical Information: 0.91" H x 6.74" W x 9.28" L (1.72 lbs) 336 pages
Features: Bibliography, Illustrated, Index, Table of Contents
 
Descriptions, Reviews, Etc.
Publisher Description:

This is a collection of survey articles based on lectures presented at a colloquium and workshop in Geneva in 2003 to commemorate the 200th anniversary of the birth of Charles Fran ois Sturm. It aims at giving an overview of the development of Sturm-Liouville theory from its historical roots to present day research. It is the first time that such a comprehensive survey has been made available in compact form. The contributions come from internationally renowned experts and cover a wide range of developments of the theory. The book can therefore serve both as an introduction to Sturm-Liouville theory and as background for ongoing research.
The volume is addressed to researchers in related areas, to advanced students and to those interested in the historical development of mathematics. The book will also be of interest to those involved in applications of the theory to diverse areas such as engineering, fluid dynamics and computational spectral analysis.
 
Customer ReviewsSubmit your own review
 
To tell a friend about this book, you must Sign In First!