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Mathematical Problem Solving
Darij Grinberg: Problem Solving (Math 235), Fall 2020
These techniques (like induction, the Pigeonhole Principle, modular arithmetic or the Cauchy-Schwarz inequality) have uses all over mathematics; we will explore these uses through hands-on problem solving. Somewhat dated and not always well-written, but a venerable collection of problems sorted by theme, and a model for newer texts (at least as far as choice of topics is concerned). They should be aware of standard problem solving techniques in mathematics (such as the pigeonhole and extremal principles) and be familiar with examples of their application.
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