This book gives a remarkably fine account of the influences mathematics has exerted on the development of philosophy, the physical sciences, religion, and the arts in Western life.
Author(s): Morris Kline
Year: 1964
Language: English
Pages: 512
Table of Contents......Page 12
I: Introduction. True and False Conceptions......Page 32
II: The Rule of Thumb in Mathematics......Page 42
III: The Birth of the Mathematical Spirit......Page 53
IV: The Elements of Euclid......Page 69
V: Placing a Yardstick to the Stars......Page 89
VI: Nature Acquires Reason......Page 103
VII: Interlude......Page 118
VIII: Renewal of the Mathematical Spirit......Page 128
IX: The Harmony of the World......Page 139
X: Painting and Perspective......Page 155
XI: Science Born of Art: Projective Geometry......Page 173
XII: A Discourse on Method......Page 188
XIII: The Quantitative Approach to Nature......Page 211
XIV: The Deduction of Universal Laws......Page 225
XV: Grasping the Fleeting Instant: The Calculus......Page 243
XVI: The Newtonian Influence: Science and Philosophy......Page 263
XVII: The Newtonian Influence: Religion......Page 286
XVIII: The Newtonian Influence: Literature and Aesthetics......Page 301
XIX: The Sine of G Major......Page 316
XX: Mastery of the Ether Waves......Page 333
XXI: The Science of Human Nature......Page 351
XXII: The Mathematical Theory of Ignorance: The Statistical Approach to the Study of Man......Page 369
XXIII: Prediction and Probability......Page 388
XXIV: Our Disorderly Universe: The Statistical View of Nature......Page 405
XXV: The Paradoxes of the Infinite......Page 424
XXVI: New Geometries, New Worlds......Page 439
XXVII: The Theory of Relativity......Page 461
XXVIII: Mathematics: Method and Art......Page 482
SELECTED REFERENCES......Page 502
B......Page 506
D......Page 507
G......Page 508
L......Page 509
M......Page 510
P......Page 511
S......Page 512
Z......Page 513
