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

An Introduction to Difference Equations (Undergraduate Texts in Mathematics 3rd 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: 29/03/2005
  • ISBN13: 9780387230597
  • Format: Paperback, Hardback
  • Number Of Pages: 562
  • ID: 9780387230597
  • weight: 962
  • ISBN10: 0387230599
  • edition: 3rd ed. 2005

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