Integer Sequences (eBook)
XIII, 168 Seiten
Springer Singapore (Verlag)
978-981-16-0570-3 (ISBN)
This book discusses special properties of integer sequences from a unique point of view. It generalizes common, well-known properties and connects them with sequences such as divisible sequences, Lucas sequences, Lehmer sequences, periods of sequences, lifting properties, and so on. The book presents theories derived by using elementary means and includes results not usually found in common number theory books. Considering the impact and usefulness of these theorems, the book also aims at being valuable for Olympiad level problem solving as well as regular research. This book will be of interest to students, researchers and faculty members alike.
MASUM BILLAL is Senior Data Scientist at Shohoz, Dhaka, Bangladesh. He completed his Masters in Computer Science Engineering at the University of Dhaka, Bangladesh. He has been a trainer of Bangladesh's International Mathematics Olympiad teams and Mathematics Camps for around six years. His research interests include mathematics, algorithms, cryptography, and machine learning. His research articles have been published in journals of repute.
SAMIN RIASAT is a research scholar in Mathematics at Queens' College, Cambridge, England. He completed his Master of Mathematics in Computer Science at the University of Waterloo, Canada, in 2019. He has authored a book on mathematics Olympiad and his research articles have been published in journals of repute. He is also a reviewer for Mathematical Reviews.This book discusses special properties of integer sequences from a unique point of view. It generalizes common, well-known properties and connects them with sequences such as divisible sequences, Lucas sequences, Lehmer sequences, periods of sequences, lifting properties, and so on. The book presents theories derived by using elementary means and includes results not usually found in common number theory books. Considering the impact and usefulness of these theorems, the book also aims at being valuable for Olympiad level problem solving as well as regular research. This book will be of interest to students, researchers and faculty members alike.
| Erscheint lt. Verlag | 18.6.2021 |
|---|---|
| Zusatzinfo | XIII, 168 p. 1 illus. |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie |
| Mathematik / Informatik ► Mathematik ► Statistik | |
| Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
| Schlagworte | binomial sequence • divisible sequences • lehmer sequence • Lucas Sequence • special integer sequences |
| ISBN-10 | 981-16-0570-X / 981160570X |
| ISBN-13 | 978-981-16-0570-3 / 9789811605703 |
| Haben Sie eine Frage zum Produkt? |
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