Linear algebra and differential equations
Author(s)
Bibliographic Information
Linear algebra and differential equations
（Ellis Horwood series in mathematics and its applications, . Statistics,
Ellis Horwood, 1990
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
This textbook integrates linear algebra and the solution of difference equations, ordinary and partial differential equations and systems of linear differential equations. The topics are presented separately, but the authors stress the theory and techniques which link them together. The book has emerged from distance learning material, written for the Polytechnic Associateship in Mathematics at Sheffield City Polytechnic.
Table of Contents
- Prerequisites
- vector spaces
- function spaces and Rn
- linear difference equations
- linear differential
- equations, wronskians, Green's functions
- matrix representation, change of basis
- equivalence
- linear numerical approximation
- univalent factors
- jordan normal form
- application to systems of linear differential equations and control theory
- inner product spaces
- orthogonal bases
- self adjoint operators
- real symmetric matrices
- diagonalization
- Sturm-Louiville problems
- series solutions of partial differential equations.
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