EUCLID HELLENISTIC MATHEMATICS THE STORY OF MATHEMATICS PREHISTORIC EGYPTIAN MATHEMATICS GREEK MATHEMATICS PYTHAGORAS PLATO ARCHIMEDES 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 THE GREEK MATHEMATICIAN LIVED FLOURISHED ALEXANDRIA IN EGYPT 300 BCE REIGN PTOLEMY ALMOST NOTHING DESCRIPTION PHYSICAL APPEARANCE FLOWING BEARD CLOTH WORKS OF ART PROBABLY ACADEMY IN ATHENS PATRONAGE PTOLEMIES COMPREHENSIVE ALREADY RIVAL THE GREAT FATHER TEXTBOOK OF ALL TIME CULMINATION REVOLUTION TAKEN GREECE UP TO THAT TIME THE DIVISION GEOMETRICAL PARTS CATOPTRICS MATHEMATICAL THEORY OF MIRRORS SPHERICAL ASTRONOMY THE LOCATION THE CELESTIAL SPHERE OPTICS METHOD CONSTRUCTING EQUILATERAL TRIANGLE STRAIGHT LINE SEGMENT COMPASS STRAIGHT EDGE PROPOSITION BOOK 1 ELEMENTS LUCID COMPILATION EXPLANATION THE WORK THEUDIUS THEAETETUS EUDOXUS THEOREMS LOGICAL CONCEPTS CONSISTENT EUCLIDEAN GEOMETRY VALID TODAY AS IT YEARS AGO HIGHER MATHEMATICS DEALING HIGHER DIMENSIONAL LOBACHEVSKI HALF KIND GEOMETRY DEFINITIVE SURVIVING THE ECLIPSE CLASSICAL LEARNING EUROPE THE DARK AGES ARABIC FOR ALL TIME THE MODEL MATHEMATICAL ARGUMENT POSTULATES ORDER PROVEN GENERAL THINGS EQUAL TO THING EACH OTHER REMAINDERS COINCIDE THE WHOLE IS GREATER THAN EUCLIDS POSTULATES POSSIBLE DRAW STRAIGHT LINE POINT LINE SEGMENT PAST ARBITRARILY LARGE CREATE CIRCLE DISTANCE ALL RIGHT ANGLES STRAIGHT ANGLE CROSSING STRAIGHT LINES THE INTERIOR THE SAME SIDE LESS THAN RIGHT STRAIGHT MEET SIDE ON PROOF PYTHAGORAS THEOREM THIRTEEN VOLUMES FORMULAS CALCULATING THE VOLUMES PYRAMIDS GEOMETRIC SERIES PERFECT NUMBERS ALGORITHMS FINDING GREATEST COMMON DIVISOR LEAST COMMON MULTIPLE GENERALIZATION AN INFINITE NUMBER PYTHAGOREAN TRIPLES REGULAR PLATONIC SOLIDS PROPERTIES MARKING REAL BEGINNINGS NUMBER PROVED THE FUNDAMENTAL THEOREM OF UNIQUE FACTORIZATION THEOREM POSITIVE INTEGER GREATER THAN WRITTEN PRODUCT PRIME NUMBERS ITSELF PRIME EXAMPLE PROOF BY CONTRADICTION PROVE IDEA SENSE INFINITELY BASIS EUCLIDS THEOREM FOR ANY IF YOU MULTIPLY THE SET PROCESS IDENTIFIED SUM OF DIVISORS INTERESTING TRIANGULAR NUMBERS THEREFORE CONSECUTIVE NUMBERS LARGEST PRIME FACTOR POWER OF 2 LESS ALWAYS PREVIOUS POWER OF TWO PYTHAGOREANS AWARE THE GOLDEN RATIO DEFINE RATIOS APPEARANCE GEOMETRIC SHAPES PAGE LUKE