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Periodic Character and Patterns of Recursive Sequences

  • Michael A.┬áRadin

Table of contents

About this book

Introduction

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.

Keywords

periodic cycles eventually periodic cycles even ordered cycles odd ordered cycles unique periodic cycles linear difference equations non-autonomous difference equations piece-wise difference equations max-type difference equations rational difference equations

Authors and affiliations

  • Michael A.┬áRadin
    • 1
  1. 1.School of Mathematical SciencesRochester Institute of TechnologyRochesterUSA

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