Sequential Experiments with Primes

Beschreibung

With a specific focus on the mathematical life in small undergraduate colleges, this book presents a variety of elementary number theory insights involving sequences largely built from prime numbers and contingent number-theoretic functions. Chapters include new mathematical ideas and open problems, some of which are proved in the text. Vector valued MGPF sequences, extensions of Conway’s Subprime Fibonacci sequences, and linear complexity of bit streams derived from GPF sequences are among the topics covered in this book. This book is perfect for the pure-mathematics-minded educator in a small undergraduate college as well as graduate students and advanced undergraduate students looking for a significant high-impact learning experience in mathematics.
With a specific focus on the mathematical life in small undergraduate colleges, this book presents a variety of elementary number theory insights involving sequences largely built from prime numbers and contingent number-theoretic functions. Chapters include new mathematical ideas and open problems, some of which are proved in the text. Vector valued MGPF sequences, extensions of Conway’s Subprime Fibonacci sequences, and linear complexity of bit streams derived from GPF sequences are among the topics covered in this book. This book is perfect for the pure-mathematics-minded educator in a small undergraduate college as well as graduate students and advanced undergraduate students looking for a significant high-impact learning experience in mathematics.
Presents experimental and computational number theory in a new and interesting context Offers new mathematical ideas and problems involving prime numbers and related sequences Perfect for graduate and advanced undergraduate students studying applied and computational number theory Includes supplementary material: sn.pub/extras

Autor*in

Mihai Caragiu

Themen in »Sequential Experiments with Primes«

Computational Number Theory Prime Numbers Cryptography Ducci Game Fibonacci Sequences GPF Sequences

Stimmen zu »Sequential Experiments with Primes«

“Caragiu (Ohio Northern Univ.) offers readers a valuable case study in fostering undergraduate research; he focuses on processes analogous to the Fibonacci sequence (generate each term by adding the previous two), twisted now by passing to the largest prime dividing the sum (or by dividing out the smallest prime). … Recommended. Undergraduates and above.” (D. V. Feldman, Choice, Vol. 56 (1), September, 2018)

“Caragiu’s book is a lovely synthesis of both ideas illustrated with sequences based on prime numbers. … this book offers you many ideas to explore and is an excellent foray into experimental mathematics. … Overall, this is an excellent book. If you are interested in experimental math and want to play, you’ll enjoy this book.” (David S. Mazel, MAA Reviews, December, 2017)

Details

Link teilen