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17 lectures on Fermat numbers : from number theory to geometry

Author: M Křížek; Florian Luca; Lawrence Somer
Publisher: New York : Springer, ©2001.
Series: CMS books in mathematics, 10.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

The pioneering work of Pierre de Fermat has attracted the attention of mathematicians for over 350 years. This book provides an overview of the many properties of Fermat numbers and demonstrates  Read more...

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Named Person: Pierre de Fermat
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: M Křížek; Florian Luca; Lawrence Somer
ISBN: 0387953329 9780387953328
OCLC Number: 47650982
Description: xxiv, 257 pages : illustrations ; 25 cm.
Contents: 1. Introduction --
2. Fundamentals of Number Theory --
3. Basic Properties of Fermat Numbers --
4. The Most Beautiful Theorems on Fermat Numbers --
5. Primality of Fermat Numbers --
6. Divisibility of Fermat Numbers --
7. Factors of Fermat Numbers --
8. Connection of Fermat Numbers with Pascal's Triangle --
9. Miscellaneous Results --
10. The Irrationality of the Sum of Some Reciprocals --
11. Fermat Primes and a Diophantine Equation --
12. Fermat's Little Theorem, Pseudoprimes, and Superpseudoprimes --
13. Generalizations of Fermat Numbers --
14. Open Problems --
15. Fermat Number Transform and Other Applications --
16. The Proof of Gauss's Theorem --
17. Euclidean Construction of the Regular Heptadecagon --
App. A. Tables of Fermat Numbers and Their Prime Factors --
App. B. Mersenne Numbers --
App. C. Remembrance of Pierre de Fermat.
Series Title: CMS books in mathematics, 10.
Other Titles: Seventeen lectures on Fermat numbers
Responsibility: Michal Křižek, Florian Luca, Lawrence Somer.
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From the reviews:CANADIAN MATHEMATICAL SOCIETY NOTES"It is certainly satisfying for the reader to have almost everything that is known on a particular subject collected in one place. Also, it Read more...

 
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