Periodic Character and Patterns of Recursive Sequences

✍ Scribed by Michael A. Radin

• Publisher: Springer
• Year: 2018
• Tongue: English
• Leaves: 226
• Category: Library

✦ Synopsis

This textbook on periodic character and patterns of recursive sequences focuses on discrete periodic patterns of first order, second order and higher order difference equations. Aimed toward advanced undergraduate students and graduate students who have taken a basic course in Calculus I and Discrete Mathematics, this book serves as a core text for a course in Difference Equations and Discrete Dynamical Systems. The text contains over 200 exercises to provide readers with a hands-on experience working with the material; the exercises include computations of specific examples and proofs of general results. Readers will receive a first-hand introduction to patterns of periodic cycles and patterns of transient terms with exercises for most sections of the text, preparing them for significant research work in the area.

✦ Table of Contents

Front Matter ....Pages i-xi
Introduction (Michael A. Radin)....Pages 1-30
First Order Linear Difference Equations and Patterns of Periodic Solutions (Michael A. Radin)....Pages 31-58
Periodic Character of Solutions of First Order Nonlinear Difference Equations (Michael A. Radin)....Pages 59-106
Second Order Linear Difference Equations and Periodic Traits (Michael A. Radin)....Pages 107-147
Periodic Traits of Second Order Nonlinear Difference Equations (Michael A. Radin)....Pages 149-186
Advanced Periodic Characteristics and New Research Questions (Michael A. Radin)....Pages 187-203
Back Matter ....Pages 205-219

✦ Subjects

Sequences, Recursive Sequences