A Long Way from EuclidCourier Corporation, 1 Ιαν 2004 - 292 σελίδες Mathematics has come a long way indeed in the last 2,000 years, and this guide to modern mathematics traces the fascinating path from Euclid's Elements to contemporary concepts. No background beyond elementary algebra and plane geometry is necessary to understand and appreciate author Constance Reid's simple, direct explanations of the arithmetic of the infinite, the paradoxes of point sets, the "knotty" problems of topology, and "truth tables" of symbolic logic. Reid illustrates the ways in which the quandaries that arose from unsolvable problems promoted new ideas. Numerical concepts expanded to accommodate such concepts as zero, irrational numbers, negative numbers, imaginary numbers, and infinite numbers. |
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Αποτελέσματα 1 - 5 από τα 44.
... truths , they discovered the meaning of truth . . . 148 11 Worlds We Make . . . An everyday method of mapping by coordinates enables mathemati- cians to move freely in worlds of more than three dimen- sions . . . 163 12 Where Is In and ...
... Truth Tables and Truths . . . Methods of mathematical proof are analyzed by an in- genious method which utilizes only a handful of the most everyday ideas of language . . . 258 18 Mathematics , the Inexhaustible ... Mathematics has come ...
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Περιεχόμενα
VI | 1 |
X | 16 |
XI | 30 |
XIV | 60 |
XV | 78 |
XVII | 97 |
XVIII | 115 |
XIX | 133 |
XXIV | 174 |
XXVII | 188 |
XXIX | 204 |
XXXI | 226 |
XXXIII | 245 |
XXXV | 258 |
XXXVII | 271 |
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