Problem Solving Through Problems
by Loren C. Larson · first published 1983
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This is a practical anthology of some of the best elementary problems in different branches of mathematics. They are selected for their aesthetic appeal as well as their instructional value, and are organized to highlight the most common problem-solving techniques encountered in undergraduate mathematics. Readers learn important principles and broad strategies for coping with the experience of solving problems, while tackling specific cases on their own. The material is classroom tested and has been found particularly helpful for students preparing for the Putnam exam. For easy reference, the
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"Problem-Solving Through Problems" by Loren C Larsen (1983) was my favorite at high school. The sections headings of Chapter 1 on Heuristics give a flavor of its approach: Search for a pattern; Draw a figure; Formulate an equivalent…
on “Problem Solving Techniques” ↗If you are looking for a physical book, try Problem Solving Strategies (http://www.amazon.com/Problem-Solving-Strategies-Problem-Boo...) or Problem Solving Through Problems (http://www.amazon.com/Problem-Solving-Through-Problems-Larso...).
on “Ask YC: Math problems” ↗…Mason, Burton, & Stacey, Thinking Mathematically Pólya, How to Solve It; Mathematics and Plausible Reasoning (2 vols); Mathematical Discovery (2 vols) Schoenfeld, Mathematical Problem Solving Larson, Problem-Solving Through Problems
on “How to Study Mathematics (2017)” ↗