Basic Calculus - From Archimedes to Newton to its Role in Science

This introductory text was developed by the author through his teaching of an honours calculus course at Notre Dame. While the book develops calculus, as well as the necessary trigonometry and analytic geometry, from within the relevant historical context, 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, with special emphasis placed on pedagogy throughout.

List of contents

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.

Product details

• Authors: Alexander J. Hahn
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 01.01.1998
• EAN: 9780387946061
• ISBN: 978-0-387-94606-1
• No. of pages: 545
• Weight: 1392 g
• Illustrations: 540 SW-Abb.
• Series: Textbooks in Mathematical Sciences; Textbooks in Mathematical Sciences
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis