An edition of Matrix Methods and Differential Equations A Practical Introduction (2013)

Matrix Methods and Differential Equations A Practical Introduction

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Last edited by Alice Kirk
October 9, 2015 | History
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An edition of Matrix Methods and Differential Equations A Practical Introduction (2013)

Matrix Methods and Differential Equations A Practical Introduction

by

  • 0 Ratings
  • 0 Want to read
  • 0 Currently reading
  • 0 Have read

This book is aimed at students who encounter mathematical models in other disciplines.

You can download the book for free via the link below.

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Bookboon.com

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Cover of: Matrix Methods and Differential Equations A Practical Introduction
Matrix Methods and Differential Equations A Practical Introduction
2013, Bookboon.com
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Book Details

Table of Contents

Sisältö
Introduction Mathematical Modelling
What is a mathematical model?
Using mathematical models
Types of models
How is this book useful for modelling?
Simultaneous Linear Equations
Introduction
Matrices
Applying matrices to simultaneous equations
Determinants
Inverting a Matrix by Elementary Row Operations
Solving Equations by Elementary Row Operations
Homogeneous and Non-homogeneous equations
Matrices in Geometry
Reflection
Shear
Plane Rotation
Orthogonal and orthonormal vectors
Geometric addition of vectors
Matrices and vectors as objects
Eigenvalues and Diagonalization
Linear superpositions of vectors
Calculating Eigenvalues and Eigenvectors
Similar matrices and diagonalisation
How eigenvalues relate to determinants
Using diagonalisation to decouple linear equations
Orthonormal eigenvectors
Summary: eigenvalues, eigenvectors and diagonalisation.
Revision: Calculus Results
Differentiation formulas
Rules of Differentiation
Integration Formulas
Integration Methods
First Order Differential Equations
Introduction
Initial value problems
Classifying First Order Differential Equations
Separation of variables
General Method for solving LFODE’s.
Applications to modelling real world problems
Characterising Solutions Using a Phase Line
Variation of Parameters method
The Main Points Again – A stepwise strategy for solving FODE’s.
General Properties of Solutions to Differential Equations
Introduction
Homogenous Linear Equations
Systems of Linear Differential Equations
Introduction
Homogenous Systems
The Fundamental Matrix
Repeated Eigenvalues
Non-homogenous systems
Appendix: Complex Numbers
Representing complex numbers
Algebraic operations
Euler’s formula
Log, Exponential and Hyperbolic functions
Differentiation Formulae

ID Numbers

Open Library
OL25775158M
ISBN 13
9788740302516

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October 9, 2015 Edited by Alice Kirk Edited without comment.
October 9, 2015 Created by Alice Kirk Added new book.