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Sequential Experiments with Primes

Authors: Caragiu, Mihai

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  • 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
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eBook $64.99
price for USA in USD (gross)
  • ISBN 978-3-319-56762-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $84.99
price for USA in USD
  • ISBN 978-3-319-56761-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $84.99
price for USA in USD
  • ISBN 978-3-319-85995-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

About the authors

Mihai Caragiu is a professor of mathematics at Ohio Northern University. He is the recipient of the 2010 Outstanding Teaching Faculty Award for the Department of Mathematics and Statistics. 

Reviews

“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)


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Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $64.99
price for USA in USD (gross)
  • ISBN 978-3-319-56762-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $84.99
price for USA in USD
  • ISBN 978-3-319-56761-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $84.99
price for USA in USD
  • ISBN 978-3-319-85995-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Sequential Experiments with Primes
Authors
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-56762-4
DOI
10.1007/978-3-319-56762-4
Hardcover ISBN
978-3-319-56761-7
Softcover ISBN
978-3-319-85995-8
Edition Number
1
Number of Pages
XI, 279
Number of Illustrations
39 b/w illustrations, 50 illustrations in colour
Topics