A Historian Looks Back


Book Description

An inspiring collection of a historian's work on the history of mathematics.




Mathematical Thought from Ancient to Modern Times: Volume 1


Book Description

Traces the development of mathematics from its beginnings in Babylonia and ancient Egypt to the work of Riemann and Godel in modern times.




The Correspondence of James Jurin (1684-1750)


Book Description

James Jurin (1684-1750) occupied a central place in the medical and scientific circles of Augustan and Georgian England. His dispassionate yet forceful advocacy of smallpox inoculation using an innovative statistical approach brought him widespread recognition both in Britain and abroad. He was Secretary to the Royal Society for seven years and participated vigorously in the most important scientific debates of the period. Jurin's correspondence, recently made available to the public, provides rich material for the study of eighteenth-century natural philosophy and medicine, especially of the smallpox inoculation debates. This volume reproduces a broad and valuable selection of letters, as well as a list of Jurin's publications and a calendar of the complete correspondence. The introductory biographical essay describes how Jurin combined a career as a successful London physician with that of a natural philosopher.







The Principia: The Authoritative Translation and Guide


Book Description

In his monumental 1687 work,ÊPhilosophiae Naturalis Principia Mathematica, known familiarly as theÊPrincipia, Isaac Newton laid out in mathematical terms the principles of time, force, and motion that have guided the development of modern physical science. Even after more than three centuries and the revolutions of Einsteinian relativity and quantum mechanics, Newtonian physics continues to account for many of the phenomena of the observed world, and Newtonian celestial dynamics is used to determine the orbits of our space vehicles. This authoritative, modern translation by I. Bernard Cohen and Anne Whitman, the first in more than 285 years, is based on the 1726 edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms. Newton's principles describe acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. A great work in itself, theÊPrincipiaÊalso revolutionized the methods of scientific investigation. It set forth the fundamental three laws of motion and the law of universal gravity, the physical principles that account for the Copernican system of the world as emended by Kepler, thus effectively ending controversy concerning the Copernican planetary system. The illuminating Guide to Newton's PrincipiaÊby I. Bernard Cohen makes this preeminent work truly accessible for today's scientists, scholars, and students. Designed with collectors in mind, this deluxe edition has faux leather binding covered with a beautiful dustjacket. Ê




Mathematics


Book Description

This work stresses the illogical manner in which mathematics has developed, the question of applied mathematics as against 'pure' mathematics, and the challenges to the consistency of mathematics' logical structure that have occurred in the twentieth century.




Social History of Nineteenth Century Mathematics


Book Description

During the last few decades historians of science have shown a growing interest in science as a cultural activity and have regarded science more and more as part of the gene ral developments that have occurred in society. This trend has been less evident arnong historians of mathematics, who traditionally concentrate primarily on tracing the develop ment of mathematical knowledge itself. To some degree this restriction is connected with the special role of mathematics compared with the other sciences; mathematics typifies the most objective, most coercive type of knowledge, and there fore seems to be least affected by social influences. Nevertheless, biography, institutional history and his tory of national developments have long been elements in the historiography of mathematics. This interest in the social aspects of mathematics has widened recently through the stu dy of other themes, such as the relation of mathematics to the development of the educational system. Some scholars have begun to apply the methods of historical sociology of knowledge to mathematics; others have attempted to give a ix x Marxist analysis of the connection between mathematics and productive forces, and there have been philosophical studies about the communication processes involved in the production of mathematical knowledge. An interest in causal analyses of historical processes has led to the study of other factors influencing the development of mathematics, such as the f- mation of mathematical schools, the changes in the profes- onal situation of the mathematician and the general cultural milieu of the mathematical scientist.




The History of the Calculus and Its Conceptual Development


Book Description

Fluent description of the development of both the integral and differential calculus — its early beginnings in antiquity, medieval contributions, and a consideration of Newton and Leibniz.




Isis


Book Description

"Brief table of contents of vols. I-XX" in v. 21, p. [502]-618.