Basic calculus : from Archimedes to Newton to its role in science

Alexander J. Hahn

This introductory calculus text was developed by the author through his teaching of an honors calculus course at Notre Dame. The book develops calculus, as well as the necessary trigonometry and analytic geometry, from witin the relevant historical context, and yet it is not a textbook in the history of mathematics as such. The notation is modern, and the material is selected to cover the basics of the subject. Special emphasis is placed on pedagogy throughout. Whhile emphasizing the broad applications of the subject, emphasis is placed on the mathematical content of the subject.

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  • Part 1: From Archimedes to Newton * The Greeks Measure the Universe * Ptolemy and the dynamics of the universe * Archimedes measures area * A New Astronomy and a New Geometry * The Calculus of Leibnitz * The Calculus of Newton * The Principia. Part 2: Calculus and the Sciences. - Analysis of Functions * Statics, Dynamics and Optics * Basic Functions and Their Graphs * Exponential Functions * The Calculus of Economics * Integral Calculus: Meaning and Methods * Integral Calculus and the meaning of Forces.

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書名 Basic calculus : from Archimedes to Newton to its role in science
著作者等 Hahn Alexander J.
Hahn Alexander
シリーズ名 Textbooks in mathematical sciences
出版元 Springer
刊行年月 c1998
ページ数 xiv, 545 p.
大きさ 26 cm
ISBN 0387946063
NCID BA37066892
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言語 英語
出版国 アメリカ合衆国