Infinitesimal Calculus

Author: James M. Henle
Publisher: Courier Corporation
ISBN: 0486151018
Format: PDF, Mobi
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Introducing calculus at the basic level, this text covers hyperreal numbers and hyperreal line, continuous functions, integral and differential calculus, fundamental theorem, infinite sequences and series, infinite polynomials, more. 1979 edition.

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.

Elementary Calculus

Author: H. Jerome Keisler
Publisher: Courier Corporation
ISBN: 0486484521
Format: PDF, Kindle
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This first-year calculus book is centered around the use of infinitesimals. It contains all the ordinary calculus topics, including the basic concepts of the derivative, continuity, and the integral, plus traditional limit concepts and approximation problems. Additional subjects include transcendental functions, series, vectors, partial derivatives, and multiple integrals. 2007 edition.

The Early Mathematical Manuscripts of Leibniz

Author: G. W. Leibniz
Publisher: Courier Corporation
ISBN: 0486154718
Format: PDF, ePub, Docs
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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.

A Short Account of the History of Mathematics

Author: W. W. Rouse Ball
Publisher: Courier Corporation
ISBN: 0486157849
Format: PDF, Docs
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This standard text treats hundreds of figures and schools instrumental in the development of mathematics, from the Phoenicians to such 19th-century giants as Grassman, Galois, and Riemann.

The Nature of Mathematics

Author: Philip E. B. Jourdain
Publisher: Courier Corporation
ISBN: 0486154963
Format: PDF, Kindle
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Anyone interested in mathematics will appreciate this survey, which explores the distinction between the body of knowledge known as mathematics and the methods used in its discovery. 1913 edition.

Elementary Mathematics from an Advanced Standpoint

Author: Felix Klein
Publisher: Courier Corporation
ISBN: 0486165965
Format: PDF
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Graphical and geometrically perceptive methods enliven a distinguished mathematician's treatment of arithmetic, algebra, and analysis. Topics include calculating with natural numbers, complex numbers, goniometric functions, and infinitesimal calculus. 1932 edition. Includes 125 figures.

Great Currents of Mathematical Thought

Author: François Le Lionnais
Publisher: Courier Corporation
ISBN: 9780486495781
Format: PDF
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50 essays by eminent scholars include meditations on "Structures," Disciplines," "Space," "Function," "Group," "Probability," and "The Mathematical Epic" (Volume I) and on "Mathematics and the Human Intellect," "Mathematics and Technology," and "Mathematics and Civilization" (Volume II). 1962 edition.