Periodic character and patterns of recursive sequences /
General Material Designation
[Book]
First Statement of Responsibility
Michael A. Radin.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham, Switzerland :
Name of Publisher, Distributor, etc.
Springer,
Date of Publication, Distribution, etc.
2018.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (xi, 219 pages) :
Other Physical Details
illustrations (some color)
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
Chapter 1- Introduction -- Chapter 2- First Order Linear Difference Equations and Patterns of Periodic Solutions -- Chapter 3- Periodic Character of Solutions of First Order Nonlinear Difference Equations -- Chapter 4- Second Order Linear Difference Equations and Periodic Traits -- Chapter 5- Periodic Traits of Second Order Nonlinear Difference Equations -- Chapter 6- Advanced Periodic Characteristics and New Research Questions -- Appendices -- References.
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SUMMARY OR ABSTRACT
Text of Note
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.