An Introduction to Difference Equations (Undergraduate Texts in Mathematics 3rd ed. Softcover of orig. ed. 2005)

An Introduction to Difference Equations (Undergraduate Texts in Mathematics 3rd ed. Softcover of orig. ed. 2005)

By: Saber Elaydi (author)Paperback

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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

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* 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

Product Details

  • publication date: 19/10/2010
  • ISBN13: 9781441920010
  • Format: Paperback
  • Number Of Pages: 562
  • ID: 9781441920010
  • weight: 781
  • ISBN10: 1441920013
  • edition: 3rd ed. Softcover of orig. ed. 2005

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