Mathematics and History: Integration Many problems in science and engineering an
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Mathematics and History: Integration
Many problems in science and engineering and even in economics and the social sciences can ultimately be reduced to finding the area enclosed by a curve in the plane. This is the basic problem of the part of calculus called integration theory. (Resnikoff, Mathematics in Civilisation)
Part 1 — Research (2–3 pages)
a) Research on the history of Integration/Integral Calculus.
b) Write a short bio about two or three of the most important mathematicians who contributed to Integral
calculus — from Archimedes to the present.
c) Explain the difference between the indefinite and definite integral.
Part 2 — Your reaction (2–3 pages)
Please address the following:
— Why did you choose this subject?
— What was the most intriguing part you learned from your research?
— What is fascinating about integrals?
— Which mathematician(s) seemed to be the most interesting? Why?
— What will you remember?
— Will this research have an impact on your further studies (not only in mathematics)?
— Was this research helpful for your understanding of Integral Calculus?
— Your own reflections and ideas concerning this subject: Write down your thoughts on the topic, and your
responses must be engaging, well-informed, analytic and critical.
Paper should be typed, double spaced, with a margin of 1 inch on all sides.
Preferred typeface: Times 12 point.
Required references: 6 to 8 books, scholarly articles, and/or reliable websites.
DUE DATE: no later than November 30, 2020 by midnight.