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The History Of The Calculus And Its Conceptual Development

Author: Carl B. Boyer
Publisher: Courier Corporation
ISBN: 0486175383
Size: 18.50 MB
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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
Size: 29.91 MB
Format: PDF, Kindle
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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.

Mathematical Physics

Author: Francis Bitter
Publisher: Courier Corporation
ISBN: 0486435016
Size: 64.98 MB
Format: PDF
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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 Origins Of Infinitesimal Calculus

Author: Margaret E. Baron
Publisher: Elsevier
ISBN: 1483280926
Size: 69.58 MB
Format: PDF, Kindle
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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.

Analysis By Its History

Author: Ernst Hairer
Publisher: Springer Science & Business Media
ISBN: 0387770364
Size: 45.97 MB
Format: PDF, ePub, Mobi
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This book presents first-year calculus roughly in the order in which it was first discovered. The first two chapters show how the ancient calculations of practical problems led to infinite series, differential and integral calculus and to differential equations. The establishment of mathematical rigour for these subjects in the 19th century for one and several variables is treated in chapters III and IV. Many quotations are included to give the flavor of the history. The text is complemented by a large number of examples, calculations and mathematical pictures and will provide stimulating and enjoyable reading for students, teachers, as well as researchers.

Mathematics For The Nonmathematician

Author: Morris Kline
Publisher: Courier Corporation
ISBN: 0486316130
Size: 10.83 MB
Format: PDF, ePub
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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.

Mathematics And The Physical World

Author: Morris Kline
Publisher: Courier Corporation
ISBN: 0486136310
Size: 12.51 MB
Format: PDF, Mobi
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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.

The Development Of Mathematics

Author: E. T. Bell
Publisher: Courier Corporation
ISBN: 0486152286
Size: 80.44 MB
Format: PDF, 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.

Numbers And Infinity

Author: E. H. Sondheimer
Publisher: Courier Corporation
ISBN: 0486452980
Size: 27.76 MB
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.