Mathematical Thought from Ancient to Modern Times: Volume 1This comprehensive history traces the development of mathematical ideas and the careers of the mathematicians responsible for them. Originally published in 1972, it is now available as a three volume paperback edition. Volume 1 looks at the discipline's origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the nineteenth century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Gödel on recent mathematical study. |
Contents
I | 3 |
II | 4 |
III | 5 |
IV | 7 |
V | 8 |
VI | 10 |
VII | 11 |
VIII | 13 |
LVII | 183 |
LVIII | 188 |
LIX | 190 |
LX | 191 |
LXI | 195 |
LXII | 197 |
LXIII | 200 |
LXIV | 201 |
IX | 15 |
X | 16 |
XI | 18 |
XII | 21 |
XIII | 22 |
XIV | 24 |
XV | 25 |
XVI | 27 |
XVII | 28 |
XIX | 34 |
XX | 37 |
XXI | 42 |
XXII | 48 |
XXIII | 51 |
XXIV | 56 |
XXV | 57 |
XXVI | 58 |
XXVII | 60 |
XXVIII | 68 |
XXIX | 73 |
XXX | 77 |
XXXI | 80 |
XXXII | 81 |
XXXIII | 86 |
XXXIV | 88 |
XXXV | 89 |
XXXVI | 101 |
XXXVII | 103 |
XXXVIII | 105 |
XXXIX | 116 |
XL | 117 |
XLI | 119 |
XLII | 126 |
XLIII | 131 |
XLIV | 135 |
XLV | 145 |
XLVI | 146 |
XLVII | 147 |
XLVIII | 154 |
XLIX | 160 |
L | 162 |
LI | 166 |
LII | 168 |
LIII | 171 |
LIV | 173 |
LV | 176 |
LVI | 177 |
LXV | 202 |
LXVI | 203 |
LXVII | 205 |
LXVIII | 206 |
LXIX | 209 |
LXX | 211 |
LXXI | 213 |
LXXII | 216 |
LXXIII | 218 |
LXXIV | 220 |
LXXV | 221 |
LXXVI | 223 |
LXXVII | 227 |
LXXVIII | 231 |
LXXIX | 234 |
LXXX | 236 |
LXXXI | 237 |
LXXXII | 240 |
LXXXIII | 247 |
LXXXIV | 250 |
LXXXV | 251 |
LXXXVI | 259 |
LXXXVII | 263 |
LXXXVIII | 270 |
LXXXIX | 274 |
XC | 278 |
XCI | 285 |
XCII | 286 |
XCIII | 288 |
XCIV | 295 |
XCV | 299 |
XCVI | 302 |
XCVIII | 303 |
XCIX | 304 |
C | 308 |
CI | 317 |
CII | 325 |
CIII | 327 |
CIV | 335 |
CV | 342 |
CVII | 344 |
CVIII | 356 |
CIX | 370 |
CX | 380 |
CXI | 381 |
CXII | 383 |
Other editions - View all
Mathematical Thought From Ancient to Modern Times, Volume 1, Volume 3 Morris Kline No preview available - 1990 |
Common terms and phrases
Alexandrian algebra angle Apollonius Arabs Archimedes arithmetic astronomy Babylonians base became bodies Book calculation called century Chap chord circle concept conic consider construction contains continued course curves definition Desargues Descartes determined distance earth Egyptian Elements equal equation Euclid example expressed fact Fermat Figure fractions functions Galileo gave geometry given gives Greek Hence History ideas important infinite interest introduced irrational Italy knowledge known later learned Leibniz length magnitudes major mathe mathematicians mathematics means mechanics method motion moving nature Newton numbers objects observations obtained original period philosophy physical plane positive practical principles problems proof properties Proposition proved Pythagoreans quantities ratio reason roots rules says segment shows sides solution solve sphere square straight line symbols theorem theory thought treated triangle University values volumes whole writings