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Project Gutenberg’s History of Modern Mathematics, by David Eugene Smith
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T~BMEAUXSTATISTIQUES
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ETATS COMPARES
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PARIS
LIBRAIRIE HACHETTE ET C E
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ANNÉES 1890 A 1893
ÉUSÉE RECLUS
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Û~ELLE GÉOGRAPHIE UNIVERSELLE...
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CONTENTS
FOREWORD iii
1.
NUMBER SYSTEMS 1
1.
1 Introduction 1
1.
2 Irrational Numbers 5
1.
3 Real Numbers and their Decimal Expansions 8
1.
4 Representing Real Numbers on the Number Line 15
1.
5...
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Contents
Foreword iii
Preface v
1.
Real Numbers 1
1.
1 Introduction 1
1.
2 Euclid’s Division Lemma 2
1.
3 The Fundamental Theorem of Arithmetic 7
1.
4 Revisiting Irrational Numbers 11
1.
5...
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Contents
Foreword iii
1.
Sets 1
1.
1 Introduction 1
1.
2 Sets and their Representations 1
1.
3 The Empty Set 5
1.
4 Finite and Infinite Sets 6
1.
5 Equal Sets 7
1.
6 Subsets 9
1.
7 Power Set 12...
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Contents
PART I
Foreword v
Preface vii
1.
Relations and Functions 1
1.
1 Introduction 1
1.
2 Types of Relations 2
1.
3 Types of Functions 7
1.
4 Composition of Functions and Invertible Function 12...
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