A Manual of Greek Mathematics
Courier Corporation, 29. dec. 2003 - 576 strani
This concise but thorough history encompasses the enduring contributions of the ancient Greek mathematicians whose works form the basis of most modern mathematics. Written by a distinguished scholar and mathematician, the well-written, nontechnical text is geared toward high school, college, and graduate students, teachers, and those seeking a historical perspective on mathematics. Topics include Pythagorean arithmetic, Plato's use and philosophy of mathematics, an in-depth analysis of Euclid's "Elements," the beginnings of Greek algebra and trigonometry, and other mathematical milestones.
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algebra Apollonius Archimedes Archytas Aristotle arithmetic astronomy axis base bisected Book centre of gravity chord circle circumference circumscribed commentary cone conics construction contained cube curve cylinder definition diameter Diophantus divided draw drawn earth Elements equal equation equivalent Eratosthenes Eucl Euclid Eudemus Eudoxus Eutocius figure formula geometry given ratio given straight line gives gnomon Greek height Heron Hipparchus Hippocrates hyperbola inscribed irrational isosceles lemmas length loci magnitudes mathematics mean proportionals measure method method of exhaustion moon multiplied namely Nicomachus Pappus parabola parallel parallelogram pentagon perpendicular plane Plato polygonal number Porisms Posidonius problem Proclus proof Prop propositions proved Ptolemy pyramid Pythagoras Pythagoreans radius rectangle respectively right angles right-angled triangle says segment semicircle sides similar solid solution solved sphere square number surface tangent Thales Theaetetus Theon Theon of Alexandria theorem theory tion translation treatise triangular number