Recommendations for a book in mathematical problem solving

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The discussion centers around recommendations for books on mathematical problem solving, particularly for someone interested in high school-level math contests. A user expresses interest in finding resources that focus on methodologies rather than just problems and solutions. Key suggestions include "Principles of Mathematical Problem Solving" by Erickson & Flowers and "The Art of Problem Solving" volumes 1 and 2 by Richard Rusczyk and Sandor Lehoczky. The Art of Problem Solving website is also noted as a valuable resource for learners.
echelonIV
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Hi everyone.

To start off, I've recently taken an interest in mathematics (more specifically, hard problem solving) and I was wondering if anyone can recommend me a good book on problem solving, preferably at the level of a typical American high school math contest (I've tried reading The Art and Craft of Problem Solving by Paul Zeitz, but it was a bit too overwhelming). A book on methodologies rather than just problems and solutions would be nice, but either works.

Thanks.
 
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Principles of Mathematical Problem Solving by Erickson & Flowers
 
Have you tried "The Art of Problem Solving vol. 1&2" by Richard Rusczyk and Sandor Lehoczky?
 
I'll certainly take a look at those two, and The Art of Problem Solving website looks very useful also. Thanks :)
 
The book is fascinating. If your education includes a typical math degree curriculum, with Lebesgue integration, functional analysis, etc, it teaches QFT with only a passing acquaintance of ordinary QM you would get at HS. However, I would read Lenny Susskind's book on QM first. Purchased a copy straight away, but it will not arrive until the end of December; however, Scribd has a PDF I am now studying. The first part introduces distribution theory (and other related concepts), which...
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