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Author: Margaret E. Baron
Publisher: Elsevier
ISBN: 1483280926
Category : Mathematics
Languages : en
Pages : 313
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Book Description
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.
Author: Margaret E. Baron
Publisher: Elsevier
ISBN: 1483280926
Category : Mathematics
Languages : en
Pages : 313
Get Book Here
Book Description
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.
Author: Horatio Scott Carslaw
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 152
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Book Description
Author: C.H.Jr. Edwards
Publisher: Springer
ISBN:
Category : History
Languages : en
Pages : 370
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Book Description
This is a lucid account of the highlights in the historical development of the calculus from ancient to modern times - from the beginnings of geometry in antiquity to the nonstandard analysis of the twentieth century. It emphasizes the genesis and evolution of both fundamental concepts and computational techniques. The intended audience includes not only students of the history of mathematics, but also the wider mathematical community, specifically those who study, teach and use calculus. Among the distinctive features of this exposition are historically motivated exercises and carefully chosen illustrative examples. Numerous sections of the book are suitable for use in courses in introductory and advanced calculus as well as the general history of mathematics.
Author: Margaret E. Baron
Publisher:
ISBN:
Category :
Languages : en
Pages : 930
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Book Description
Author: Margaret E. Baron
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 0
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Book Description
Author: Bartholomew Price
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 576
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Book Description
Author: M. E. Baron
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Richard C. Brown
Publisher: World Scientific
ISBN: 9814390798
Category : Mathematics
Languages : en
Pages : 333
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Book Description
1. Evolution or revolution in mathematics -- 2. Issues in seventeenth century mathematics -- 3. Isaac Barrow: a foil to Leibniz -- 4. A young central European polymath -- 5. First steps in mathematics -- 6. The creation of calculus -- 7. Logic -- 8. The universal characteristic -- 9. The baroque cultural context -- 10. Epilogue -- 11. Some concluding remarks on mathematical change -- Appendices.
Author: Bartholomew Price
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 748
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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