17 Lectures on Fermat Numbers: From Number Theory to Geometry - Softcover

Krizek, Michal; Luca, Florian

 
9781468495928: 17 Lectures on Fermat Numbers: From Number Theory to Geometry

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Inhaltsangabe

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

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Weitere beliebte Ausgaben desselben Titels

9780387953328: 17 Lectures on Fermat Numbers: From Number Theory to Geometry: 10 (CMS Books in Mathematics)

Vorgestellte Ausgabe

ISBN 10:  0387953329 ISBN 13:  9780387953328
Verlag: Springer, 2002
Hardcover