Difference Equations

From Rabbits to Chaos

  • Paul Cull
  • Mary Flahive
  • Robby Robson

Part of the Undergraduate Texts in Mathematics book series (UTM)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Pages 1-10
  3. Pages 67-99
  4. Pages 217-251
  5. Pages 253-295
  6. Back Matter
    Pages 337-392

About this book

Introduction

Difference equations are models of the world around us. From clocks to computers to chromosomes, processing discrete objects in discrete steps is a common theme. Difference equations arise naturally from such discrete descriptions and allow us to pose and answer such questions as: How much? How many? How long? Difference equations are a necessary part of the mathematical repertoire of all modern scientists and engineers.

In this new text, designed for sophomores studying mathematics and computer science, the authors cover the basics of difference equations and some of their applications in computing and in population biology. Each chapter leads to techniques that can be applied by hand to small examples or programmed for larger problems. Along the way, the reader will use linear algebra and graph theory, develop formal power series, solve combinatorial problems, visit Perron—Frobenius theory, discuss pseudorandom number generation and integer factorization, and apply the Fast Fourier Transform to multiply polynomials quickly.

The book contains many worked examples and over 250 exercises. While these exercises are accessible to students and have been class-tested, they also suggest further problems and possible research topics.

Paul Cull is a professor of Computer Science at Oregon State University. Mary Flahive is a professor of Mathematics at Oregon State University. Robby Robson is president of Eduworks, an e-learning consulting firm. None has a rabbit.

 

Keywords

Finite Matrix algebra difference equation equation function graph theory linear algebra mathematics

Authors and affiliations

  • Paul Cull
    • 1
  • Mary Flahive
    • 2
  • Robby Robson
    • 3
  1. 1.Dept. Computer Science Dearborn HallOregon State UniversityCorvallisUSA
  2. 2.Dept. Mathematics Kidder HallOregon State UniversityCorvallisUSA
  3. 3.EduworksCorvallisUSA

Bibliographic information

  • DOI https://doi.org/10.1007/0-387-27645-9
  • Copyright Information Springer Science+Business Media, Inc. 2005
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-23233-1
  • Online ISBN 978-0-387-27645-8
  • Series Print ISSN 0172-6056
  • About this book