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Table of Contents

Part I

From 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

Part II
Calculus and the Sciences

  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

The links Flowchart, Computations, and Use this Text, are pdf files that can be accessed with Acrobat Reader.

      Calculus, Prerequistes and Applications: a Flowchart
      Possible ways to Use this Text
      About the Computations in this text

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.

      Basic Calculus: From Archimedes to Newton, 2001, and
      Basic Calculus: Differential and Integral Calculus and Science, 2002.

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