
v
Contents
Preface, xiii
Acknowledgments, xv
About the Authors, xvii
Chapter 1: the Dawn of Counting 1
1.1 ARCHEOLOGICAL EVIDENCE: PALEOLITHIC ART 1
1.2 FINGERS FOR COUNTING 2
1.3 THE USE OF TALLY STICKS AND REPRESENTATIONAL
SYMBOLS: THE FIRST INFORMATION REVOLUTION 2
1.4 COUNTING BY PEBBLES 4
1.5 THE USE OF TOKENS AND
THESECONDINFORMATION REVOLUTION 5
REFERENCES 6
Chapter 2: representation of numbers 7
2.1 POSITIONAL NUMBER SYSTEMS 8
2.2 MORE ABOUT NUMBER SYSTEMS 10
2.3 FURTHER DISCUSSIONS OF ZERO 10
REFERENCES 14
Chapter 3: rational anD irrational numbers 15
3.1 APPEARANCE OF FRACTIONS 15
3.2 RATIONAL NUMBERS 17
3.3 IRRATIONAL NUMBERS 19
REFERENC ...