Mathematics For The Million: How To Master The Magic Of Numbers"It makes alive the contents of the elements of mathematics."—Albert Einstein Taking only the most elementary knowledge for granted, Lancelot Hogben leads readers of this famous book through the whole course from simple arithmetic to calculus. His illuminating explanation is addressed to the person who wants to understand the place of mathematics in modern civilization but who has been intimidated by its supposed difficulty. Mathematics is the language of size, shape, and order—a language Hogben shows one can both master and enjoy. |
Contents
PROLOGUE | 9 |
MATHEMATICS IN REMOTE | 33 |
THE GRAMMAR OF SIZE | 75 |
EUCLID AS A SPRINGBOARD | 118 |
NUMBER LORE IN ANTIQUITY | 167 |
THE RISE AND DECLINE | 205 |
THE DAWN OF NOTHING | 243 |
MATHEMATICS FOR | 294 |
THE GEOMETRY OF MOTION | 343 |
LOGARITHMS AND | 402 |
THE CALCULUS OF NEWTON | 454 |
THE ALGEBRA OF | 521 |
THE ALGEBRA OF CHOICE | 551 |
TABLES | 616 |
ANSWERS TO SOME OF | 634 |
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Common terms and phrases
abacus Alexandrian algebra Archimedes arithmetic arithmetic series axis binomial binomial theorem calculation called cards celestial celestial pole Chapter circle circles of latitude co-ordinates column corresponding cos² curve decimal declination division draw earth equal equation Euclid's expression figure formula fraction geometric series geometry graph Greek Hipparchus hour angle hyperbola latitude length logarithms loge longitude mathematicians mathematics means measure meridian miles multiply natural numbers Newton noon odd numbers Omar Khayyám pack parabola plane pole pole star positive radians radius ratio reader right angles right-angled triangle rotation rule sides sin² sine spades spherical triangle square root star straight line successive sun's symbols tangent tion triangular numbers trigonometrical unit whole number write X-axis Y-axis y₁ zenith distance zero