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dokumen.pub_introduction-to-number-theory-art-of-problem-solving-introduction-2nbsped-1934124125-9781934124123

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CONTENTS

I Contents

Number Theory iii

How to Use This Book V

Acknowledgements ix

1 Integers: The Basics 1

1.1 Introduction ........................................... I

1.2 Making Integers Out of Integers ............................ . . . . 3

1.3 Integer Multiples ......................................... 7

1.4 Divisibility of Integers ...................................... 11

1.5 Divisors .............................................. 14

1.6 Using Divisors .......................................... 18

1.7 Mathematical Symbols ..................................... 20

1.8 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21

2 Primes and Composites

25

2.1 Introduction ............................. . . .......... . . 25

2.2 Primes and Composites ........... . ......... . ....... . . . . . . . . 25

2.3 Identifying PrimesI .................... . ................ . . 28

2.4 Identifying PrimesII ........................... . ....... . . . . 31

2.5 Summary .......................... . ................. . 36

3 Multiples and Divisors 39

3.1 Introduction ................ . ................ . . . ..... . . 39

3.2 Common Divisors ...................... . . ............ . . . . 3‘)

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