The History of the Calculus and Its Conceptual Development

Author: Carl B. Boyer
Publisher: Courier Corporation
ISBN: 0486175383
Format: PDF, ePub, Mobi
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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.

A Source Book in Mathematics

Author: David Eugene Smith
Publisher: Courier Corporation
ISBN: 0486158292
Format: PDF, Docs
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The writings of Newton, Leibniz, Pascal, Riemann, Bernoulli, and others in a comprehensive selection of 125 treatises dating from the Renaissance to the late 19th century — most unavailable elsewhere.

The Origins of Infinitesimal Calculus

Author: Margaret E. Baron
Publisher: Elsevier
ISBN: 1483280926
Format: PDF, ePub
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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.

Mathematical Physics

Author: Francis Bitter
Publisher: Courier Corporation
ISBN: 0486435016
Format: PDF, Kindle
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Reader-friendly guide offers illustrative examples of the rules of physical science and how they were formulated. Topics include the role of mathematics as the language of physics; nature of mechanical vibrations; harmonic motion and shapes; geometry of the laws of motion; more. 60 figures. 1963 edition.

The Development of Mathematics

Author: E. T. Bell
Publisher: Courier Corporation
ISBN: 0486152286
Format: PDF, ePub, Docs
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Time-honored study by a prominent scholar of mathematics traces decisive epochs from the evolution of mathematical ideas in ancient Egypt and Babylonia to major breakthroughs in the 19th and 20th centuries. 1945 edition.

Mathematics for the Nonmathematician

Author: Morris Kline
Publisher: Courier Corporation
ISBN: 0486316130
Format: PDF, ePub, Mobi
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Erudite and entertaining overview follows development of mathematics from ancient Greeks to present. Topics include logic and mathematics, the fundamental concept, differential calculus, probability theory, much more. Exercises and problems.

Numbers and Infinity

Author: E. H. Sondheimer
Publisher: Courier Corporation
ISBN: 0486452980
Format: PDF, ePub, Docs
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This fresh overview of numbers and infinity avoids tedium and controversy while maintaining historical accuracy and modern relevance. Perfect for undergraduate mathematics or science history courses. 1981 edition.

Mathematics and the Physical World

Author: Morris Kline
Publisher: Courier Corporation
ISBN: 0486136310
Format: PDF, Kindle
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Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena.

A History of Vector Analysis

Author: Michael J. Crowe
Publisher: Courier Corporation
ISBN: 0486679101
Format: PDF
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Prize-winning study traces the rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers to the final acceptance around 1910 of the modern system of vector analysis.

History of Analytic Geometry

Author: Carl B. Boyer
Publisher: Courier Corporation
ISBN: 0486154513
Format: PDF, Kindle
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This study presents the concepts and contributions from before the Alexandrian Age through to Fermat and Descartes, and on through Newton and Euler to the "Golden Age," from 1789 to 1850. 1956 edition. Analytical bibliography. Index.