An introduction to difference equations
著者
書誌事項
An introduction to difference equations
（Undergraduate texts in mathematics）
Springer, c2005
3rd ed
- : softcover
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注記
"Softcover reprint of the hardcover 3rd edition 2005"--T.p. verso of softcover
Includes bibliographical references (p. 523-529) and index
内容説明・目次
内容説明
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
目次
* 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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