Mathematics: A Myriad of Methods (Part 1)
Author: Richard Francis
A famous problem may have many solutions. The primary goal in any encounter with a challenging problem is that of solution. Yet, it is a destination lying on diverse paths as opposed to an objective with but one avenue of approach.
Such a solving journey is often the path of elegance, realizing its goal in a remarkably graceful way. Oppositely, the path may be bumpy, awkward, and winding. Varied resolutions of a famous problem, considering the challenges of the task, are akin to attaining the heights of a towering peak. It would be difficult to say just what the "Everest" of mathematics might be. Still, the matter of diversity in scaling the heights is clear.
Table of Contents:
DEDUCTIVE AND INDUCTIVE METHODS
DIRECT AND INDIRECT REASONING
DEMONSTRATIVE MATHEMATICS
REFERENCES
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