http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
clxxxvi, 326, 51 pages : illustrations ; 22 cm
Remarkable for his range of thought and his mastery of treatment, Archimedes addressed 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. This edition offers an informative introduction with many valuable insights into the ancient mathematician's life and thought as well as the views of his contemporaries. Modern mathematicians, physicists, science historians, and logicians will find this volume a source of timeless fascination.
Chapter I. Archimedes -- Chapter II. Manuscripts 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 proportion -- 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 incommensurables -- 7. Archimedes' approximations to [radical]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 [radical]3 -- Chapter V. On the Problems Known As [characters not reproducible] -- 1. [characters not reproducible] referred to by Archimedes -- 2. Mechanical constructions: the conchoid of Nicomedes -- 3. Pappus' solution of the [characters not reproducible] 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 [characters not reproducible] -- Chapter VI. Cubic Equations -- Chapter VII. Anticipations by Archimedes of the Integral Calculus -- Chapter VIII. The Terminology of Archimedes -- The Works of Archimedes -- On the Sphere and Cylinder, Book I -- On the Sphere and Cylinder, Book II -- Measurement of a Circle -- On Conoids and Spheroids -- On Spirals -- On the Equilibrium of Planes, Book I -- On the Equilibrium of Planes, Book II -- The Sand-Reckoner -- Quadrature of the Parabola -- On Floating Bodies, Book I -- On Floating Bodies, Book II -- Book of Lemmas -- The Cattle-Problem -- Supplement -- the Method of Archimedes.
"Unabridged republication of the edition published by Cambridge University Press in 1897 under the title The works of Archimedes, edited in modern notation with introductory chapters, and of the supplement published by Cambridge University Press in 1912 under the title The method of Archimedes, recently discovered by Heiberg, a supplement to The works of Archimedes"--Title page verso.
"List of the principal works consulted": pages xi-xii.