PREFACE
LECTURE ONE. Scratches and grunts
 Keeping count by a onetoone correspondence (many millennia ago)
LECTURE Two. The greatest Egyptian pyramid
 Inducing the volume of a truncated square pyramid (ca. 1850 B.C.)
LECTURE THREE. From the laboratory into the study
 Introduction of deductive procedures into mathematics (ca. 600 B.C.)
LECTURE FOUR. The first great theorem
 The Pythagorean theorem (ca. 540 B.C.)
LECTURE FIVE. Precipitation of the first crisis
 The discovery of irrational magnitudes (ca. 540 B.C.)
LECTURE six. Resolution of the first crisis
 The Eudoxian theory of proportion (ca. 370 B.C.)
LECTURE SEVEN. First steps in organizing mathematics
 Material axiomatics (ca. 350 B.C.)
LECTURE EIGHT. The mathematicians'bible
 Euclid's Elements (ca. 300 B.C.)
LECTURE NINE. The thinker and the thug
 Archimedes on the sphere (ca. 240 B.C.)
LECTURE TEN. A boost from astronomy
 Ptolemy's construction of a table of chords (ca. 130)
LECTURE ELEVEN. The first great number theorist
 Diophantus and his Arithmetica (ca. 250)
LECTURE TWELVE. The syncopation of algebra
 The first steps toward algebraic symbolism (ca. 250)
LECTURE THIRTEEN. Two early computing inventions
 The abacus (uncertain, but early)
 The HinduArabic numeral system (before 800)
LECTURE FOURTEEN. The poetmathematician of Khorasan
 Omar Khayyam's geometrical solution of cubic equations (ca. 1090)
LECTURE FIFTEEN. The blockhead
 Fibonacci and his Liber abaci (1202)
LECTURE SIXTEEN. An extraordinary and bizarre story
 The algebraic solution of cubic equations (1554)
 The algebraic solution of quartic equations (1554)
LECTURE SEVENTEEN. Doubling the life of the astronomer
 Napier's invention of logarithms (1614)
LECTURE EIGHTEEN. The stimulation of science
 Galileo and the science of dynamics (1589ff)
 Kepler's laws of planetary motion (1619)
LECTURE NINETEEN. Slicing it thin
 Cavalieri's method of indivisibles (1635)
LECTURE TWENTY. The transformsolveinvert technique
 The invention of analytic geometry (1637)
Hints for the solution of some of the exercises
Index
Up
Contact
Front page
Contents
Books
Store
Copyright © 19962017 Alexander Bogomolny
