عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9780387218502
(Number (ISBN
9781441929525
NATIONAL BIBLIOGRAPHY NUMBER
Number
b402310
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
17 Lectures on Fermat Numbers
General Material Designation
[Book]
Other Title Information
From Number Theory to Geometry /
First Statement of Responsibility
by Michal Křížek, Florian Luca, Lawrence Somer.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York, NY :
Name of Publisher, Distributor, etc.
Imprint: Springer,
Date of Publication, Distribution, etc.
2001.
SERIES
Series Title
CMS Books in Mathematics / Ouvrages de mathématiques de la SMC,
ISSN of Series
1613-5237
CONTENTS NOTE
Text of Note
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.
0
SUMMARY OR ABSTRACT
Text of Note
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.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9781441929525
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Geometry.
Mathematics.
Number theory.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Křížek, M.
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Luca, Florian.
Somer, Lawrence.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190301073100.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
