An introduction to difference equations

Author(s)

Bibliographic Information

An introduction to difference equations

Saber Elaydi

(Undergraduate texts in mathematics)

Springer, c2005

3rd ed

  • : softcover

Available at  / 54 libraries

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Note

"Softcover reprint of the hardcover 3rd edition 2005"--T.p. verso of softcover

Includes bibliographical references (p. 523-529) and index

Description and Table of Contents

Description

A must-read for mathematicians, scientists and engineers who want to understand difference equations and discrete dynamics Contains the most complete and comprehenive analysis of the stability of one-dimensional maps or first order difference equations. Has an extensive number of applications in a variety of fields from neural network to host-parasitoid systems. Includes chapters on continued fractions, orthogonal polynomials and asymptotics. Lucid and transparent writing style

Table of Contents

* Preface * List of Symbols * Dynamics of First-Order Difference Equations * Linear Difference Equations of Higher Order * Systems of Linear Difference Equations * Stability Theory * Higher Order Scalar Difference Equations * The Z-Transform Method and Volterra Difference Equations * Oscillation Theory * Asymptotic Behavior of Difference Equations * Applications to Continued Fractions and Orthogonal Polynomials * Control Theory * Answers and Hints to Selected Problems * Appendix A: Stability of Nonhyperbolic Fixed Points of Maps on the Real Line * Vandermonde Matrix * Stability of Nondifferentiable Maps * Stable Manifold and Hartman-Grobman-Cushing Theorems * Levin-May Theorem * Classical Orthogonal Polynomials * Identities and Formulas * References * Index

by "Nielsen BookData"

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Details

  • NCID
    BA71874539
  • ISBN
    • 9780387230597
    • 9781441920010
  • LCCN
    2004058916
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    New York
  • Pages/Volumes
    xxii, 539 p.
  • Size
    25 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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