Periodic Character and Patterns of Recursive Sequences

Michael A. Radin (Autor)

Buch | Hardcover

XI, 219 Seiten

2019 | 1st ed. 2018
Springer International Publishing (Verlag)
978-3-030-01779-8 (ISBN)

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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.

Michael A. Radin earned his Ph.D. at the University of Rhode Island in 2001 and is currently an associate professor of mathematics at the Rochester Institute of Technology. Michael started his journey analyzing difference equations with periodic and eventually periodic solutions as part of his Ph.D. thesis and published many papers on boundedness and periodic nature of solutions of rational difference equations, max-type difference equations and piece-wise difference equations. Michael published several papers together with his Master's students and undergraduate students at RIT and has publications with students and colleagues from Riga Technical University and University of Latvia.

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.

"The book is well written and it provides a good introductory reference in the field of difference equations and discrete mathematics." (Ioannis P. Stavroulakis, zbMATH 1429.39001, 2020)

“The book is well written and it provides a good introductory reference in the field of difference equations and discrete mathematics.” (Ioannis P. Stavroulakis, zbMATH 1429.39001, 2020)

Erscheinungsdatum	19.01.2019
Zusatzinfo	XI, 219 p. 67 illus., 56 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	505 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	even ordered cycles • eventually periodic cycles • linear difference equations • max-type difference equations • non-autonomous difference equations • odd ordered cycles • periodic cycles • piece-wise difference equations • rational difference equations • unique periodic cycles
ISBN-10	3-030-01779-6 / 3030017796
ISBN-13	978-3-030-01779-8 / 9783030017798
Zustand	Neuware