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Sequential experiments with primes

Caragiu, Mihai.

Sequential experiments with primes

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Sequential experiments with primes/ by Mihai Caragiu.
作者:	Caragiu, Mihai.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	xi, 279 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Number theory. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-56762-4
ISBN:	9783319567624

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

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

527883
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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