Difference Equations

An Introduction with Applications

By: Walter G. Kelley, Allan C. Peterson

Write A Review

Hardcover | 5 May 2000 | Edition Number 2

At a Glance

Hardcover
403 Pages

Edition Type
Revised

Dimensions(cm)
23.5 x 16.51 x 1.91

Hardcover

$348.99

or 4 interest-free payments of $87.25 with

or

Ships in 10 to 15 business days

Difference Equations, Second Edition, presents a practical introduction to this important field of solutions for engineering and the physical sciences. Topic coverage includes numerical analysis, numerical methods, differential equations, combinatorics and discrete modeling. A hallmark of this revision is the diverse application to many subfields of mathematics.

Phase plane analysis for systems of two linear equations
Use of equations of variation to approximate solutions
Fundamental matrices and Floquet theory for periodic systems
LaSalle invariance theorem
Additional applications: secant line method, Bison problem, juvenile-adult population model, probability theory
Appendix on the use of Mathematica for analyzing difference equaitons
Exponential generating functions
Many new examples and exercises

Industry Reviews

"The first edition of this book has been the best introduction to difference equations available; the second edition improves this even further." --Martin Bohner, University of Missouri-Rolla "The authors have their finger on the current trends in difference equations. This is a well-written textbook by authors who are known as teachers and expositors." --Johnny Henderson, Auburn University

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $0.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

More in Differential Calculus & Equations

Free Boundary Problems and Regularity Theory - Harvey Drouelle

$290.99

One-Dimensional Ergodic Schrodinger Operators

II. Specific Classes

Paperback

RRP $206.00

$195.75

One-Dimensional Ergodic Schrodinger Operators

II. Specific Classes

Hardcover

RRP $312.00

$290.99

$LEC NOTE MATH OLYM : SNR SEC (V1) - XU JIAGU$

LEC NOTE MATH OLYM

SNR SEC (V1)

Paperback

RRP $77.99

$70.75

Iterative Methods for Linear and Nonlinear Equations

Frontiers in Applied Mathematics

Paperback

RRP $169.00

$162.75

Differential Modules over Differential Rings : Chapman & Hall/CRC Monographs and Research Notes in Mathematics - Andy R. Magid

$187.75

Mathematical Modelling Techniques - Harald Krogstad

$271.99

14%
OFF

INTRO TO PSEUDO-DIFFERENTIAL OPERATORS

Hardcover

RRP $88.99

$80.75

COURSE IN ANALYSIS, A (V4)

A - VOL. IV: FOURIER ANALYSIS

Paperback

RRP $140.99

$126.99

10%
OFF

A Course on Function Spaces I : Continuous and Integrable Functions - Dominic, Dr. Breit

$184.75

Implicit-Explicit Methods for Evolutionary Partial Differential Equations

Paperback

RRP $206.00

$195.75

Modelling, Analysis, Monitoring, and Control of Distributed Parameter Systems:

The Tubular Reactor Case Study

Paperback

RRP $194.00

$184.75

Quasiperiodic Solutions of the Generalized SQG Equation : Annals of Mathematics Studies - Javier Gmez-Serrano

$39.75

The Calderon Problem

An Introduction

Hardcover

RRP $312.00

$290.99

Preface	p. vii
Introduction	p. 1
The Difference Calculus	p. 13
The Difference Operator	p. 13
Summation	p. 20
Generating Functions and Approximate Summation	p. 29
Linear Difference Equations	p. 43
First Order Equations	p. 43
General Results for Linear Equations	p. 50
Solving Linear Equations	p. 54
Applications	p. 63
Equations with Variable Coefficients	p. 75
Nonlinear Equations That Can Be Linearized	p. 82
The z-Transform	p. 86
Stability Theory	p. 125
Initial Value Problems for Linear Systems	p. 125
Stability of Linear Systems	p. 133
Phase Plane Analysis for Linear Systems	p. 141
Fundamental Matrices and Floquet Theory	p. 150
Stability of Nonlinear Systems	p. 159
Chaotic Behavior	p. 173
Asymptotic Methods	p. 195
Introduction	p. 195
Asymptotic Analysis of Sums	p. 199
Linear Equations	p. 205
Nonlinear Equations	p. 215
The Self-Adjoint Second Order Linear Equation	p. 229
Introduction	p. 229
Sturmian Theory	p. 239
Green's Functions	p. 243
Disconjugacy	p. 250
The Riccati Equation	p. 258
Oscillation	p. 265
The Sturm-Liouville Problem	p. 279
Introduction	p. 279
Finite Fourier Analysis	p. 282
Nonhomogeneous Problem	p. 289
Discrete Calculus of Variations	p. 301
Introduction	p. 301
Necessary Conditions	p. 302
Sufficient Conditions and Disconjugacy	p. 312
Boundary Value Problems for Nonlinear Equations	p. 327
Introduction	p. 327
The Lipschitz Case	p. 329
Existence of Solutions	p. 335
Boundary Value Problems for Differential Equations	p. 341
Partial Difference Equations	p. 349
Discretization of Partial Differential Equations	p. 349
Solutions of Partial Difference Equations	p. 356
Appendix	p. 367
Answers to Selected Problems	p. 373
References	p. 383
Index	p. 401
Table of Contents provided by Syndetics. All Rights Reserved.

Difference Equations

An Introduction with Applications

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Differential Calculus & Equations

Free Boundary Problems and Regularity Theory

Differential Equations

An Elementary Approach

The Secret Life of Equations

The 50 Greatest Equations and How They Work

Recent Progress in Special Functions

Contemporary Mathematics

One-Dimensional Ergodic Schrodinger Operators

II. Specific Classes

One-Dimensional Ergodic Schrodinger Operators

II. Specific Classes

LEC NOTE MATH OLYM

SNR SEC (V1)

Iterative Methods for Linear and Nonlinear Equations

Frontiers in Applied Mathematics

Differential Modules over Differential Rings

Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Weak Solutions to the Master Equation of Potential Mean Field Games

Mathematical Modelling Techniques

Mathematical Modelling Techniques

Abstract Cauchy Problems

Three Approaches

INTRO TO PSEUDO-DIFFERENTIAL OPERATORS

COURSE IN ANALYSIS, A (V4)

A - VOL. IV: FOURIER ANALYSIS

A Course on Function Spaces I

Continuous and Integrable Functions

Differential and Difference Equations with Applications in Queueing Theory

Ordinary Differential Equations and Applied Linear Algebra

Implicit-Explicit Methods for Evolutionary Partial Differential Equations

Modelling, Analysis, Monitoring, and Control of Distributed Parameter Systems:

The Tubular Reactor Case Study

Quasiperiodic Solutions of the Generalized SQG Equation

Annals of Mathematics Studies

Quasiperiodic Solutions of the Generalized SQG Equation

Annals of Mathematics Studies

Why Don t Rabbits Rule The World?

Mathematical answers to life s key questions

The Calderon Problem

An Introduction

This product is categorised by