Linear algebra and differential equations
著者
書誌事項
Linear algebra and differential equations
(Ellis Horwood series in mathematics and its applications, . Statistics,
Ellis Horwood, 1990
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- 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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