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Table of Contents |
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Part IFrom Archimedes to Newton 1.
The Greeks Measure the Universe 2.
Ptolemy and the Dynamics of the Universe 3.
Archimedes Measures Area 4.
A New Astronomy and a New Geometry 5.
The Calculus of Leibniz 6.
The Calculus of Newton 7. The Principia |
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Part
II 8.
Analysis of Functions 9.
Connections with Statics, Dynamics, and Optics 10.
Basic Functions and their Graphs 11.
The Exponential Function and the Measurement of Age and Growth 12.
The Calculus of Economics 13.
Integral Calculus: Meaning and Methods 14. Integral Calculus and the Action of Forces |
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| The links Flowchart, Computations, and Use this Text, are pdf files that can be accessed with Acrobat Reader. | |
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| Calculus,
Prerequistes and Applications: a Flowchart Possible ways to Use this Text About the Computations in this text |
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| This text has been published in Japanese in two volumes by Springer-Verlag, Tokyo. It was translated by Professor Kano Satoru, Faculty of Computer and Information Sciences, Hosei University, Tokyo. | |
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Basic Calculus: From Archimedes to Newton, 2001, and Basic Calculus: Differential and Integral Calculus and Science, 2002. |
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| For questions or comments please contact hahn.1@nd.edu | |