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4 Mathematics 524
History of Mathematics
Aim of Course:
The purpose of this course is to study the development of mathematics from about 500 B.C. to the beginning of the present century. It should be of particular value to prospective teachers of high school mathematics.
Content:
1. The subject will be presented chronologically up to about the 18th century with emphasis upon the eras of great mathematical activity. Then, separate branches of mathematics will be carried through to recent times. The topics touched on will include elementary arithmetic, algebra, geometry and logic, analytic geometry, non-Euclidean geometries, the calculus, number theory, function theory, group theory and invariants, set theory and foundations of mathematics.
2. There will be lectures by the instructor and reports by the students.
3. There has been no required textbook. The reports of the students are based on readings in various books and in the mathematical journals.
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