The History of the Calculus and Its Conceptual Development

Author: Carl B. Boyer
Publisher: Courier Corporation
ISBN: 0486175383
Format: PDF, Docs
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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 History of Vector Analysis

Author: Michael J. Crowe
Publisher: Courier Corporation
ISBN: 0486679101
Format: PDF, ePub
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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.

A Source Book in Mathematics

Author: David Eugene Smith
Publisher: Courier Corporation
ISBN: 0486158292
Format: PDF, ePub, Mobi
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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.

Calculus and Its Origins

Author: David Perkins
Publisher: MAA
ISBN: 0883855755
Format: PDF
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" ... Is primarily a collection of results that show how calculus came to be, beginning in ancient Greece and climaxing with the discovery of calculus. The book requires only a basic knowledge of high school geometry and algebra. Exercises introduce further historical figures and their results." -- Cover, p.[4].

Analysis by Its History

Author: Ernst Hairer
Publisher: Springer Science & Business Media
ISBN: 0387770364
Format: PDF, ePub
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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.

The Origins of Infinitesimal Calculus

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

Mathematics and the Physical World

Author: Morris Kline
Publisher: Courier Corporation
ISBN: 0486136310
Format: PDF, Docs
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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.

Mathematics for the Nonmathematician

Author: Morris Kline
Publisher: Courier Corporation
ISBN: 0486316130
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.

A History of Mathematics

Author: Carl B. Boyer
Publisher: John Wiley & Sons
ISBN: 0470630566
Format: PDF, Kindle
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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.