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1001 Problems in Classical Number Theory
Jean-Marie De Koninck, Armel Mercier
Price
1695.00
ISBN
9780821868881
Language
English
Pages
352
Format
Paperback
Dimensions
180 x 240 mm
Year of Publishing
2011
Territorial Rights
Restricted
Imprint
American Mathematical Society
Catalogues

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
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