1001 Problems in Classical Number Theory Koninck, Jean-Marie De & Mercier, Armel

1001 Problems in Classical Number Theory

Koninck, Jean-Marie De & Mercier, Armel

2011; 352 pp; Paperback; 180 × 240 mm; 978-0-8218-6888-1

For sale only in India,Pakistan,Nepal,Bhutan,Bangladesh,Sri Lanka,Maldives

Series: Indian Editions of AMS Titles

755.00 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. Table of Contents 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 About the Author Jean-Marie De Koninck, Université Laval, Quebec, QC, Canada Armel Mercier, Université du Québec à Chicoutimi, QC, Canada