An Introduction to Difference Equations (Undergraduate Texts in Mathematics 3rd ed. 2005)
By: Saber Elaydi (author)Paperback
Only 1 in stock
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
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.
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- ID: 9780387230597
3rd ed. 2005
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