The History of Mathematics: A Brief Course

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Subject Index


A Mathematician's Apology, 20
abacus, 51, 146
Abbasid Caliphate, 54
Abel-Poisson convergence, 501
Abelian group, 447
abscissa, 476
absolute, 371
absolute continuity, 505
Academy, 43, 269, 285, 293, 317
Accademia dei Lincei, 385
acre, 115



4cia eruditorum, 440, 476
Acta mathematica, 67, 73, 450
actinium, 532
adding machine, 149
addition, 5
addition formulas, 492
Aegean Sea, 42
African Americans, 65
Agisymba, 325
aha computations, 134
Ahmose Papyrus, 34,129-135,145,154-156,
210, 235, 239, 247, 399
Ainu, 115
air, 271
Akhmim Wooden Tablet, 34, 132
akoustikoi, 271
alchemy, 15
Ko, 547
Alexandria, 34, 81, 105, 270, 300, 305, 317
Algebra
Abu-Kamil's, 428
al-Khwarizmi's, 430, 434
Omar Khayyam's, 425-426
algebra, 3, 22, 30, 32, 41, 56, 57, 67, 137,
139, 536
Chinese, 28
fundamental theorem, 537
multilinear, 380
von Neumann, 71
algebraic topology, 194
Algeria, 59
algorithm, 40, 56, 146, 155
Euclidean, 136, 164-165, 174, 176, 182,
184, 200, 250, 310, 460
mutual-subtraction, 184, 250



Alhazen's problem, 335
Almagest, 43, 47, 55, 60, 305, 325, 338
alphabet, 3
alternating group, 459
amblytome~, 277
American Academy of Arts and Letters, 66
American Geographical and Statistical Soci-
ety, 86
American Journal of Mathematics, 66, 68,
73
American Journal of Science, 66
American Mathematical Society, 63, 69, 73,
88, 105
American Philosophical Society, 63
amicable numbers, 179, 185
AMS Colloquium Lecture, 103
Analyse des infiniment petits, 473
analysis
functional, 507
nonstandard, 470
analysis situs, 385
Analyst, 488
analytic function, 455
analytic geometry, 187, 202, 348
analytic set, 547
analytical engine, 150
Andaman, 115
angle, 258
acute, 272
central, 298
inscribed, 298
obtuse, 272
right, 272
trisection, 55, 274, 279-282, 332, 335, 425,
433, 435, 449
Archimedes', 313
Annali dt scienze matematiche e fisiche, 73
antanairesis, 285
anthyphairesis, 285
anti-nepotism rules, 76
antipodal points, 481
Anuyoga Dwara Sutra, 23
AO 6670, 402, 407
AO 8862, 401
Apollo, 276
application of areas, 272-274, 306

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The History of Mathematics: A Brief Course, Second Edition

by Roger Cooke

Copyright © 200 5 John Wiley & Sons, Inc.
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