Mathematics: A Myriad of Methods (Part 2)
Author: Richard Francis
Demonstrative mathematics, dating from the Early Greek Era, has a long and continuing history, and characterizes the Golden Age of Mathematics which is today.
It is a story of failure and success that marks our journey through a million theorems. The first few steps, often identified as deduction and induction as well as direct and indirect strategies of proof (from part 1), suggest or foreshadow other powerful methods in the abstracting, generalizing, and rigorizing components of mathematical growth. But other techniques come to light as a myriad of methods unfolds.
Table of Contents:
SYNTHESIS AND ANALYSIS
EXHAUSTION AND EXISTENCE
ANCIENT AND MODERN METHODS
OTHER PROOF TYPES
REFERENCES
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