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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... simple series which begins with 0 , 1 , 2 , 3 ,. 30 4 A Number for Every Point on the Line ... At the very foundation of mathematics lies an assumption which it took two thousand years to justify . . . 46 5 Journey That Begins at O ...
... mathematical concepts are basic to the most modern geometry , in which we find that simple questions have unbelievably complex answers and the obvious is almost impossible to prove . . . 174 13 What a Geometry IS . . . A new viii III IV.
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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 |
283 | |