ARCHIMEDES HELLENISTIC MATHEMATICS THE STORY OF MATHEMATICS PREHISTORIC EGYPTIAN MATHEMATICS GREEK MATHEMATICS PYTHAGORAS PLATO EUCLID DIOPHANTUS ROMAN MAYAN CHINESE MATHEMATICS INDIAN MATHEMATICS BRAHMAGUPTA MADHAVA ISLAMIC MATHEMATICS MEDIEVAL EUROPEAN FIBONACCI TARTAGLIA CARDANO FERRARI DESCARTES FERMAT PASCAL NEWTON LEIBNIZ BERNOULLI BROTHERS EULER 19TH CENTURY GALOIS GAUSS BOLYAI LOBACHEVSKY RIEMANN BOOLE CANTOR POINCAR 20TH CENTURY HARDY RAMANUJAN RUSSELL WHITEHEAD HILBERT GDEL TURING WEIL COHEN ROBINSON MATIYASEVICH MATHEMATICIANS GLOSSARY MATHEMATICAL TERMS SOURCES CONTACT GREEK MATHEMATICIAN ALEXANDRIA IN 3RD CENTURY BCE DIED LIVED SICILY HELLENIC GREEK COLONY MAGNA GRAECIA LITTLE SURE THE STORIES ANECDOTES WRITTEN DEATH ANCIENT INVENTOR MILITARY INNOVATIONS SIEGE ENGINES MIRRORS HARNESS FOCUS THE POWER OF THE SUN PULLEYS PUMPS FAMOUS SCREW PUMP ARCHIMEDES SCREW TODAY PARTS THE WORLD TRUE LOVE PURE MATHEMATICS THE DISCOVERY PREVIOUSLY UNKNOWN ARCHIMEDES PALIMPSEST INSIGHTS GREATEST OF ALL TIME IN THE AUGUST COMPANY APPROXIMATION OF AREA OF CIRCLE METHOD OF EXHAUSTION FORMULAS AREAS REGULAR REVOLUTIONARY METHOD SHAPES ALREADY UNDERSTOOD ESTIMATE AREA OF A CIRCLE POLYGON OUTSIDE THE CIRCLE SMALLER INSIDE ENCLOSED AREA SIMPLY EFFECTIVELY VALUE NUMBERS AWARE RANGE ALL THAT THE ACTUAL MIGHT NEVER BE ESTIMATING TAKEN TO THE EXTREME THE 16TH EXTRAORDINARY ARRIVE KNOW THAT IN FACT IRRATIONAL NUMBER WHOSE COMPLETE CALCULATED VOLUME SOLID SPHERE SLICING ADDING THE VOLUMES CONSTITUENT SAW SLICES EVER APPROXIMATION EXACT IN A WAY SIMILAR MODERN INTEGRAL CALCULUS GIVE ANSWERS PROBLEMS ARBITRARY DEGREE LIMITS THE ANSWER QUADRATURE OF THE PARABOLA SOPHISTICATED THE METHOD DEVELOPMENT OF PROOF THE QUADRATURE OF THE PARABOLA SEGMENT CERTAIN DISSECTED REGION PARABOLA INFINITELY TRIANGLES GEOMETRIC PROGRESSION SUM OF GEOMETRIC SERIES PROVED PRESCIENT VIEW THE CONCEPT INFINITY THE GREEK GENERALLY THE GREEKS PREFERENCE RIGOROUS DISTRUST PARADOXES ACTUAL INFINITY INFINITUDE PRIME PRIMES NUMBER KIND POTENTIAL INFINITY RATHER POINTS EQUAL THUS THE FIRST TIME CONCEPT GEORG CANTOR EXAMPLE PRECISION WORK CALCULATION THE SQUARE ROOT OF 3 LYING GRAINS OF SAND FILL SYSTEM COUNTING THE MYRIAD MYRIAD MYRIADS VIGINTILLION THE VOLUME SURFACE AREA OF A SPHERE CIRCUMSCRIBING CYLINDER THE DISCOVERY OF CLAIMED PROUD THE RELATIONSHIP BETWEEN HEIGHT DIAMETER THE SURFACE EQUAL TO SURFACE AREA SCULPTED TOMB CONTRIBUTIONS PROBABLY REMEMBERED ANECDOTAL STORY OF DISCOVERY DETERMINING OBJECT KING HIERON OF SYRACUSE ASKED FIND THE ROYAL GOLDSMITH CHEATED PUTTING SILVER NEW GOLD MELT DOWN ORDER MEASURE FORCED TO SEARCH ALTERNATIVE EXPERIMENT ARCHIMEDES PRINCIPLE TAKING BATH THAT THAT LEVEL WATER ROSE SUDDEN INSPIRATION DETERMINE THEREFORE APPARENTLY THE BATH NAKED THE STREETS GAVE RISE FLUID FORCE THE WEIGHT THE FLUID DISPLACED QUOTATION ATTRIBUTED STAND MOVE MEANING FULCRUM LEVER THE EARTH GRAVITY FUTURE DEVELOPMENTS IN SOLDIER THE CAPTURE CITY OF MATHEMATICAL DIAGRAM THE SAND ENRAGED TO GO MEET THE ROMAN GENERAL LAST WORDS DO NOT DISTURB MY CIRCLES VIKING YACHTS DESIGN PROFESSIONAL BOATBUILDER FOR SALE SHIP HYDROMECHANICS PAGE LUKE