The Ancient Tradition of Geometric Problems
The Ancient Tradition of Geometric Problems

Author: Wilbur Richard Knorr

Publisher: Courier Corporation

Published: 1993-01-01

Total Pages: 419

ISBN-13: 0486675327

DOWNLOAD EBOOK

Illustrated study focuses on attempts by ancient Greeks to solve three classical problems: cube duplication, angle trisection, and circle quadrature. Origins of the study of conics, introduction of special mechanical curves, more. 1986 edition.

The Origins of Infinitesimal Calculus
The Origins of Infinitesimal Calculus

Author: Margaret E. Baron

Publisher: Elsevier

Published: 2014-05-09

Total Pages: 313

ISBN-13: 1483280926

DOWNLOAD EBOOK

The Origins of Infinitesimal Calculus focuses on the evolution, development, and applications of infinitesimal calculus. The publication first ponders on Greek mathematics, transition to Western Europe, and some center of gravity determinations in the later 16th century. Discussions focus on the growth of kinematics in the West, latitude of forms, influence of Aristotle, axiomatization of Greek mathematics, theory of proportion and means, method of exhaustion, discovery method of Archimedes, and curves, normals, tangents, and curvature. The manuscript then examines infinitesimals and indivisibles in the early 17th century and further advances in France and Italy. Topics include the link between differential and integral processes, concept of tangent, first investigations of the cycloid, and arithmetization of integration methods. The book reviews the infinitesimal methods in England and Low Countries and rectification of arcs. The publication is a vital source of information for historians, mathematicians, and researchers interested in infinitesimal calculus.