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Sequential experiments with primes

Caragiu, Mihai.

Sequential experiments with primes

Record Type:	Electronic resources : Monograph/item
Title/Author:	Sequential experiments with primesby Mihai Caragiu.
Author:	Caragiu, Mihai.
Published:	Cham :Springer International Publishing :2017.
Description:	xi, 279 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Number theory.
Online resource:	http://dx.doi.org/10.1007/978-3-319-56762-4
ISBN:	9783319567624$q(electronic bk.)

Sequential experiments with primes
Caragiu, Mihai.

Sequential experiments with primes[electronic resource] /by Mihai Caragiu. - Cham :Springer International Publishing :2017. - xi, 279 p. :ill. (some col.), digital ;24 cm.

Forward -- 1. Introduction -- 2. Warming Up: Integers, Sequences, and Experimental Mathematics -- 3. Greatest Prime Factor Sequences -- 4. Conway's Subprime Function and Related Structures with a Touch of Fibonnacci Flavor -- 5. Going All Experimental - More Games and Applications -- Appendix 0 -- Visualization -- Appendix 1 -- Appendix 2 -- Appendix 3 -- References.

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.

ISBN: 9783319567624$q(electronic bk.)

Standard No.: 10.1007/978-3-319-56762-4doiSubjects--Topical Terms:

189521
Number theory.

LC Class. No.: QA241

Dewey Class. No.: 512.7

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505 0 $a Forward -- 1. Introduction -- 2. Warming Up: Integers, Sequences, and Experimental Mathematics -- 3. Greatest Prime Factor Sequences -- 4. Conway's Subprime Function and Related Structures with a Touch of Fibonnacci Flavor -- 5. Going All Experimental - More Games and Applications -- Appendix 0 -- Visualization -- Appendix 1 -- Appendix 2 -- Appendix 3 -- References.
520 $a 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.
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