The Infinite in the Finite

By Alistair Macintosh Wilson | Go to book overview

INDEX
Aahmes (Ahmose) 22-5, 27-30, 42, 66
abacus
Chinese and Japanese 83-5,
division using 84, 88-9
multiplication using 84-6
solution of linear equations using 96-9
Acropolis
Temple of Athena Parthenos Athens 109
golden means in proportions of 272-3
addition
Babylonian 59-61
Chinese using abacus 83
Egyptian 25-6
aha problems
Egyptian 28-30
Babylonian 64-6
Chinese 91-9
Greek geometrical solution of 252, 256-8
see also algebra
Akousmatikoi 113
Alexander the Great181-3, 388
Alexandria
foundation 182
pre-Roman times 388-92
under Roman control 420-3
Alexandrian mathematicians
Apollonius325
Archimedes279
Diophantus399
Euclid207
Heron392
Hypatia423
Pappus408
Theon423
algebra (al'jabr)
cube 494
geometrical and algebraic solutions of equations 494-7
power 494
root 494
see also aha problems
algorithm 497
Alhazen (Abu ali al-Hasan ibn al-Haitham) refraction of light 479-80
Almagest 466
alphabet
alphabetic cuneiform 59
transition to modern day 109-10
Amon-Re 42, 115, 164
angles
acute 61-2, 221-2
Babylonian angular measure 60-3
in same circular segment 63-4, 234-7
congruence 248-9
definition 247
equality of base angles of isosceles triangle 215-17
obtuse 61-2, 221-2
right angles 61-2, 221-2
sum of angles of a triangle 221-7
Apollonius 324-6
conics (konika) 326-58
see also conic section
Arabic
invention of grammar 467
numerals 467-9
phonetics of 467
as Semitic language 467
Arabic history
Abbasid caliphate 464-5
conquest of Middle-East 461-3
conquest of North Africa 463-4
death of Mohammed 461
Spanish caliphates 502-5
Umayyad caliphate 463-4
Arabic mathematicians
Battani-al473, 483, 507
Buzjani-al485
Khwarizmi-al493
Qurra Thabit ibn497
Archimedean axiom 246-7
Archimedes279-85
mensuration of circle, sphere and cone 285-312
principle of floatation 317-21

-515-

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The Infinite in the Finite
Table of contents

Table of contents

  • Title Page iii
  • Preface vii
  • Contents xi
  • 1 - Symphonies of Stone 1
  • 2 - The Pyramid Builders 19
  • 3 - The Theban Mysteries 42
  • 4 - Babylon 53
  • 5 - The Middle Kingdom 72
  • 6 - The Achaeans 105
  • 7 - A World Made of Numbers 112
  • 8 - The Thoughts of Zeus 132
  • 9 - The Philosopher's Criticism 163
  • 10 - The Elements of Euclid 206
  • 11 - An Island Interlude 239
  • 12 - Proportion 252
  • 13 - The Divine Archimedes 278
  • 14 - Apollonius the Great Geometer 324
  • 15 - The Science of Numbers 366
  • 16 - The School of Alexandria 388
  • 17 - The Dark Sub­ Continent of India 426
  • 18 - The Contribution of Islam 461
  • Bibliography 509
  • Index 515
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