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17 Lectures on Fermat Numbers : From Number Theory to Geometry /

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French mathematician Pierre de Fermat became most well known for his pioneering work in the area of number theory. His work with numbers has been attracting the attention of amateur and professional mathematicians for over 350 years. This book was written in honor of the 400th anniversary of his bir...

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Bibliographic Details
Main Author: Křížek, M.
Corporate Author: SpringerLink (Online service)
Other Authors: Luca, Florian, Somer, Lawrence
Format: eBook
Language:English
Published: New York, NY : Springer New York, 2001.
Series:CMS Books in Mathematics / Ouvrages de mathématiques de la SMC.
Subjects:
Mathematics.
Geometry.
Number theory.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Foreword by Alena Solcová
  • Table of Contents
  • Preface
  • Glossary of Symbols
  • Introduction
  • Fundamentals of Number Theory
  • Basic Properties of Fermat Numbers
  • The Most Beautiful Theorems on Fermat Numbers
  • Primality of Fermat Numbers
  • Divisibility of Fermat Numbers
  • Factors of Fermat Numbers
  • Connection With the Pascal Triangle
  • Miscellaneous Results
  • The Irrationality of the Sum of Some Reciprocals
  • Fermat Primes and a Diophantine Equation
  • Fermat's Little Theorem, Pseudoprimes, and Super-Pseudoprimes
  • Generalizations of Fermat Numbers
  • Open Problems
  • Fermat Number Transform and Other Applications
  • The Proof of Gauss's Theorem
  • Euclidean Constructions of the Regular Heptadecagon
  • Appendix A, B, C
  • References
  • Web Site Sources
  • Name Index
  • Subject Index.