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Hardcover ISBN:  9780821842249 
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Hardcover ISBN:  9780821842249 
Product Code:  PINT 
List Price:  $65.00 
MAA Member Price:  $58.50 
AMS Member Price:  $52.00 
eBook ISBN:  9781470424923 
Product Code:  PINT.E 
List Price:  $55.00 
MAA Member Price:  $49.50 
AMS Member Price:  $44.00 
Hardcover ISBN:  9780821842249 
eBook ISBN:  9781470424923 
Product Code:  PINT.B 
List Price:  $120.00 $92.50 
MAA Member Price:  $108.00 $83.25 
AMS Member Price:  $96.00 $74.00 

Book Details2007; 336 ppMSC: Primary 11
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.
ReadershipUndergraduates and graduate students interested in number theory.

Table of Contents

Cover

Title

Copyright

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

Back Cover


Additional Material

Reviews

There really are 1001 problems in classical number theory here, and each one leads to the next so readers can progress at their own speed. As they read they will be enticed into trying just one more, succeeding, and moving on to the next.
Book News, Inc.


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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.
Undergraduates and graduate students interested in number theory.

Cover

Title

Copyright

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

Back Cover

There really are 1001 problems in classical number theory here, and each one leads to the next so readers can progress at their own speed. As they read they will be enticed into trying just one more, succeeding, and moving on to the next.
Book News, Inc.