Works of Archimedes阿基米德的著述

According to Plutarch, "It is not'possible to find in geometry more dif-ficult and troublesome questions" than those posed by Archimedes."Or," added the great biographer and historian, "more simple and lucid explanations." Thanks to the nineteenth-century scholar Sir Thomas Heath, modern-day mathematicians need not look to the works in their original Greek or in a Latin translation; this complete edition encompasses all of the known works by the august geometer.
Presented here in an accessible English translation are Archimedes' masterful treatments of a remarkable range of subjects. He addresses such topics as the famous problems of the ratio of the areas of a cylinder and an inscribed sphere; the measurement of a circle; the properties of conoids, spheroids, and spirals; and the quadrature of the parabola. In addition, Heath's introduction features many valu-able insights into the ancient mathematician's life and thought as well as the views of his contemporaries.
Comprehensive and highly readable, this volume offers timeless fas-cination for the modern mathematician, physicist, science historian,and logician.

CHAPTER I.ARCHIMEDES
CHAPTER II.MANUSCR1TTS AND PRINCIPAL EDITIONS--ORDER OF COMPOSITION--DIALECT--LOST WORKS
CHAPTER III.RELATION OF ARCHIMEDES TO HIS PREDECESSORS
1.Use of traditional geometrical methods
2.Earlier discoveries affecting quadrature and cubature
3.Conic Sections
4.Surfaces of the second degree
5.Two mean proportionals in continued propor-tion
CHAPTER IV.ARITHMETIC IN ARCHIMEDES
1.Greek numeral system
2.Addition and subtraction
3.Multiplication
4.Division
5.Extraction of the square root
6.Early investigations of surds or incommensu-rables
7.Archimedes' approximations to /3
8.Archimedes' approximations to the square roots of large numbers which are not complete
squares
Note on alternative hypotheses with regard to the approximations to ,/3
CHAPTER V.ON THE PROBLEMS KNOWN AS NEYEI
1.NEVOELS referred to by Archimedes
2.Mechanical constructions: the conchoid of Nice-medes
3.Pappus' solution of the VEVPLS referred to in Props.8, 9 On Spirals
4.The problem of the two mean proportionals
5.The trisection of an angle
6.On certain plane VEVOELS
CHAPTER VI.CUBIC EQUATIONS
CHAPTER VII.ANTICIPATIONS BY ARCHIMEDES OF THE INTE-GRAL CALCULUS
CHAPTER VIII.THE TERMINOLOGY OF ARCHIMEDES