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The origins of the infinitesimal calculus

Author: Margaret E Baron
Publisher: New York : Dover Publications, 1987, ©1969.
Series: Dover classics of science and mathematics.
Edition/Format:   Print book : EnglishView all editions and formats
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Genre/Form: History
Document Type: Book
All Authors / Contributors: Margaret E Baron
ISBN: 0486653714 9780486653716
OCLC Number: 15317805
Notes: Reprint. Originally published: Oxford [Oxfordshire] : Pergamon Press, 1969.
Description: viii, 304 pages : illustrations ; 22 cm.
Contents: Greek Mathematics --
The influence of Greek mathematics in the seventeenth century --
A brief chronology of Greek mathematics --
Early Greek mathematics and the physical world --
The axiomatisation of Greek mathematics --
The theory of proportion and means --
The squaring of the circle --
The method of exhaustion --
The discovery method of Archimedes --
Curves, normals, tangents and curvature --
The Transition to Western Europe --
On Hindu mathematics --
The Arabs --
The influence of Aristotle --
The continuum, indivisibles and infinitesimals --
The growth of kinematics in the West --
The latitude of forms --
The function concept in the fourteenth and fifteenth centuries --
Some Centre of Gravity Determinations in the Later Sixteenth Century --
Francesco Maurolico (1494-1575) --
Federigo Commandino (1509-1575) --
Simon Stevin (1548-1620) --
Luca Valerio (1552-1618) --
Infinitesimals and Indivisibles in the Early Seventeenth Century --
Johann Kepler (1571-1630) --
Indivisibles in Italy --
Bonaventura Cavalieri (1598-1647) --
Gregoire de Saint-Vincent (1584-1667) --
Further Advances in France and Italy --
The arith metisation of integration methods --
First investigations of the cycloid --
Another integration method --
The concept of tangent --
The composition of motions --
The link between differential and integral processes --
Evangelista Torricelli: tangent and quadrature --
Consolidation of Gains: France, England and the Low Countries --
Blaise Pascal (1623-1662) --
Infinitesimal methods in England.
Series Title: Dover classics of science and mathematics.
Responsibility: by Margaret E. Baron.

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