Sequential Experiments with Primes

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,...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Caragiu, Mihai (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Caragiu, Mihai.  |e author. 
245 1 0 |a Sequential Experiments with Primes  |h [electronic resource] /  |c by Mihai Caragiu. 
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300 |a XI, 279 p. 89 illus., 50 illus. in color.  |b online resource. 
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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. 
650 0 |a Mathematics. 
650 0 |a Number theory. 
650 1 4 |a Mathematics. 
650 2 4 |a Number Theory. 
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776 0 8 |i Printed edition:  |z 9783319567617 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-56762-4  |z Full Text via HEAL-Link 
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950 |a Mathematics and Statistics (Springer-11649)