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Sturm-Liouville Theory: Past and Present [Hardcover]

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Item description for Sturm-Liouville Theory: Past and Present by Werner O. Amrein...

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 Franois 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 to diverse areas such as engineering, fluid dynamics and computational spectral analysis.

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Item Specifications...

Pages   335
Est. Packaging Dimensions:   Length: 9.2" Width: 6.6" Height: 1"
Weight:   1.6 lbs.
Binding  Hardcover
Release Date   Jul 30, 2005
Publisher   Birkhäuser Basel
ISBN  3764370661  
ISBN13  9783764370664  

Availability  0 units.

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1Books > Special Features > New & Used Textbooks > Sciences > Mathematics
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > Differential Equations
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
4Books > Subjects > Reference
5Books > Subjects > Science > General
6Books > Subjects > Science > Mathematics > Applied > Differential Equations
7Books > Subjects > Science > Mathematics > General
8Books > Subjects > Science > Mathematics > Mathematical Analysis
9Books > Subjects > Science > Mathematics > Reference

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