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The History Of The Calculus And Its Conceptual Development

Author: Carl B. Boyer
Publisher: Courier Corporation
ISBN: 0486175383
Size: 34.72 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.

The Origins Of Infinitesimal Calculus

Author: Margaret E. Baron
Publisher: Elsevier
ISBN: 1483280926
Size: 23.21 MB
Format: PDF
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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.

A Source Book In Mathematics

Author: David Eugene Smith
Publisher: Courier Corporation
ISBN: 0486158292
Size: 55.87 MB
Format: PDF
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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: 24.31 MB
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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.

A History Of Mathematics

Author: Carl B. Boyer
Publisher: John Wiley & Sons
ISBN: 0470630566
Size: 13.51 MB
Format: PDF, ePub, Docs
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The updated new edition of the classic and comprehensive guide to the history of mathematics For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind’s relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat’s Last Theorem and the Poincaré Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs. Distills thousands of years of mathematics into a single, approachable volume Covers mathematical discoveries, concepts, and thinkers, from Ancient Egypt to the present Includes up-to-date references and an extensive chronological table of mathematical and general historical developments. Whether you're interested in the age of Plato and Aristotle or Poincaré and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it.

The Development Of Mathematics

Author: E. T. Bell
Publisher: Courier Corporation
ISBN: 0486152286
Size: 52.40 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.

The Early Mathematical Manuscripts Of Leibniz

Author: G. W. Leibniz
Publisher: Courier Corporation
ISBN: 0486154718
Size: 17.49 MB
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Leibniz's own accounts of his work, plus critical and historical notes and essays, include his "Historia et Origio Calculi Differentialis," manuscripts of the period 1673-77, and essays by C. I. Gerhardt.

Mathematics For The Nonmathematician

Author: Morris Kline
Publisher: Courier Corporation
ISBN: 0486316130
Size: 21.88 MB
Format: PDF, Docs
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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
Size: 63.68 MB
Format: PDF, ePub, Mobi
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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.

A History Of Mechanics

Author: René Dugas
Publisher: Courier Corporation
ISBN: 0486173372
Size: 43.67 MB
Format: PDF
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Monumental study traces the history of mechanical principles chronologically from antiquity through the early 20th century. Contributions of ancient Greeks, Leonardo, Galileo, Kepler, Lagrange, others. 116 illustrations.