17 Lectures on Fermat Numbers

From Number Theory to Geometry

  • Michal Křížek
  • Florian Luca
  • Lawrence Somer
Part of the CMS Books in Mathematics / Ouvrages de mathématiques de la SMC book series (CMSBM)

Table of contents

  1. Front Matter
    Pages i-xxiv
  2. Michal Křížek, Florian Luca, Lawrence Somer
    Pages 1-8
  3. Michal Křížek, Florian Luca, Lawrence Somer
    Pages 9-25
  4. Michal Křížek, Florian Luca, Lawrence Somer
    Pages 26-32
  5. Michal Křížek, Florian Luca, Lawrence Somer
    Pages 33-40
  6. Michal Křížek, Florian Luca, Lawrence Somer
    Pages 41-58
  7. Michal Křížek, Florian Luca, Lawrence Somer
    Pages 59-69
  8. Michal Křížek, Florian Luca, Lawrence Somer
    Pages 70-79
  9. Michal Křížek, Florian Luca, Lawrence Somer
    Pages 80-93
  10. Michal Křížek, Florian Luca, Lawrence Somer
    Pages 94-103
  11. Michal Křížek, Florian Luca, Lawrence Somer
    Pages 104-116
  12. Michal Křížek, Florian Luca, Lawrence Somer
    Pages 117-129
  13. Michal Křížek, Florian Luca, Lawrence Somer
    Pages 130-146
  14. Michal Křížek, Florian Luca, Lawrence Somer
    Pages 147-157
  15. Michal Křížek, Florian Luca, Lawrence Somer
    Pages 158-164
  16. Michal Křížek, Florian Luca, Lawrence Somer
    Pages 165-186
  17. Michal Křížek, Florian Luca, Lawrence Somer
    Pages 187-192
  18. Michal Křížek, Florian Luca, Lawrence Somer
    Pages 193-206
  19. Back Matter
    Pages 207-257

About this book

Introduction

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 birth and is based on a series of lectures given by the authors. The purpose of this book is to provide readers with an overview of the many properties of Fermat numbers and to demonstrate their numerous appearances and applications in areas such as number theory, probability theory, geometry, and signal processing. This book introduces a general mathematical audience to basic mathematical ideas and algebraic methods connected with the Fermat numbers and will provide invaluable reading for the amateur and professional alike.
Michal Krizek is a senior researcher at the Mathematical Institute of the Academy of Sciences of the Czech Republic and Associate Professor in the Department of Mathematics and Physics at Charles University in Prague. Florian Luca is a researcher at the Mathematical Institute of the UNAM in Morelia, Mexico. Lawrence Somer is a Professor of Mathematics at The Catholic University of America in Washington, D. C.

Keywords

Fermat Fermat Numbers History of Mathematics Mersenne number Prime number theory

Authors and affiliations

  • Michal Křížek
    • 1
  • Florian Luca
    • 2
  • Lawrence Somer
    • 3
  1. 1.Mathematical InstituteAcademy of SciencesCzech Republic
  2. 2.Mathematical InstituteNational Autonomous University of MexicoMoreliaMexico
  3. 3.Department of MathematicsCatholic University of AmericaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-21850-2
  • Copyright Information Springer-Verlag New York 2001
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-2952-5
  • Online ISBN 978-0-387-21850-2
  • Series Print ISSN 1613-5237
  • About this book