Buch, Englisch, 257 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 435 g
Reihe: CMS Books in Mathematics
From Number Theory to Geometry
Buch, Englisch, 257 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 435 g
Reihe: CMS Books in Mathematics
ISBN: 978-1-4419-2952-5
Verlag: Springer US
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 their applications in areas such as number theory, probability theory, geometry, and signal processing. It is an ideal introduction to the basic mathematical ideas and algebraic methods connected with the Fermat numbers.
Zielgruppe
Popular/general
Fachgebiete
- Mathematik | Informatik Mathematik Algebra Zahlentheorie
- Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik
- Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
- Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Geschichte der Naturwissenschaften, Formalen Wissenschaften & Technik
Weitere Infos & Material
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.- A. Tables of Fermat Numbers and Their Prime Factors.- B. Mersenne Numbers.- C. Remembrance of Pierre de Fermat.- References.- Web Site Sources.- Name Index.
