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 68.
... 46 5 Journey That Begins at O ... With a simple combination of algebraic and geometric ideas , problems that eluded the greatest of the ancients fall be- fore modern schoolboys . . . 60 6 How Big ? How Steep ? How Fast ? vii I II.
... problem . . . paradox . . . and paradise - has been with mathematics since its beginning . . . 204 15 A Most Ingenious Paradox . . . When the smallest and the greatest are combined in one branch of mathematics , paradoxes abound ...
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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 | |