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
Available at 22 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
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.
by "Nielsen BookData"