An introduction to difference equations

Saber Elaydi

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

「Nielsen BookData」より

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

「Nielsen BookData」より

[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

「Nielsen BookData」より

[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.

「Nielsen BookData」より

この本の情報

書名 An introduction to difference equations
著作者等 Elaydi, Saber
シリーズ名 Undergraduate texts in mathematics
出版元 Springer
刊行年月 c2005
版表示 3rd ed
ページ数 xxii, 539 p.
大きさ 25 cm
ISBN 9781441920010
9780387230597
NCID BA71874539
※クリックでCiNii Booksを表示
言語 英語
出版国 アメリカ合衆国
この本を: 
このエントリーをはてなブックマークに追加

このページを印刷

外部サイトで検索

この本と繋がる本を検索

ウィキペディアから連想