Orient BlackSwan

About the BookAbout the AuthorTable of Contents

In the spirit of The Book of the One Thousand and One Nights, the authors offer 1001 problems in number theory in a way that entices the reader to immediately attack the next problem. Whether a novice or an experienced mathematician, anyone fascinated by numbers will find a great variety of problems--some simple, others more complex--that will provide them with a wonderful mathematical experience.

Jean-Marie De Koninck, Université Laval, Quebec, QC, Canada

Armel Mercier, Université du Québec à Chicoutimi, QC, Canada

Distribution of the Problems according to Their Topics
Preface
Part 1. Key Elements from the Theory
Notations
Some Classical Forms of Argument
Inequalities
Divisibility
Prime Numbers
Congruences
The Function [x]
Arithmetical Functions
Diophantine Equations
Quadratic Reciprocity
Continued Fractions
Classification of Real Numbers
Two Conjectures
Part 2. Statements of the Problems
Mathematical Induction and Combinatorics
Divisibility
Prime Numbers
Representation of Numbers
Congruences
Primality Tests and Factorization Algorithms
Integer Parts
Arithmetical Functions
Solving Equations Involving Arithmetical Functions
Special Numbers
Diophantine Equations
Quadratic Reciprocity
Continued Fractions
Classification of Real Numbers
Part 3. Solutions
Bibliography
Subject Index
Index of Authors