"An Introduction to the Algebraic and Projective Aspects of Fourth Dime" by M. Carmelita McDowell
 

Date of Award

7-1956

Degree Type

Master's Essay - Restricted

Degree Name

Master of Science (MS)

Department

Mathematical and Statistical Sciences

Abstract

Languages convey ideas, a rich language may also suggest new ideas. At least this is the case in mathematics. The algebraic language of coordinate geometry proved to have unexpected power. We can find the properties of geometrical figures in the algebraic equation. By the use of algebra straight lines, circles and curves can be indicated by their equations. Algebraic work can be done with these equations without any need of pictures. When the algebra is complete, the final results can be put into the geometric picture. But in the interim, it is not necessary to draw in the extra lines, circles and other curves indicated by the algebraic work. Thus thought is not obstructed by confused diagrams.

Comments

A Research Paper Submitted to the Faculty of the Graduate School, Marquette University in Partial Fulfillment of the Requirements for the Degree of Master of Science Milwaukee, Wisconsin

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