Looking for Good Problem Solving Books? Any Recommendations?

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SUMMARY

This discussion centers on recommendations for problem-solving books aimed at enhancing thinking skills in mathematics and physics. Key titles mentioned include "The Art and Craft of Problem Solving" by Paul Zeitz, "How to Solve It" by George Pólya, and "Problems in General Physics" by I.E. Irodov. Participants emphasize the importance of engaging with challenging problems to develop ingenuity and resourcefulness, particularly for those preparing for competitions like the International Physics Olympiad (IPhO). Additional recommended resources include "Putnam and Beyond" and various math Olympiad books.

PREREQUISITES
  • Familiarity with high school mathematics concepts
  • Basic understanding of physics principles
  • Interest in problem-solving techniques
  • Knowledge of mathematical competitions and their formats
NEXT STEPS
  • Explore "The Art and Craft of Problem Solving" by Paul Zeitz
  • Study "How to Solve It" by George Pólya for foundational problem-solving strategies
  • Investigate "Problems in General Physics" by I.E. Irodov for physics problem-solving
  • Research "Putnam and Beyond" for advanced mathematical challenges
USEFUL FOR

Students preparing for mathematics and physics competitions, educators seeking effective teaching resources, and anyone looking to enhance their problem-solving skills in these subjects.

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Hi. Can anybody recommend a couple of good problem solving books? I'd like to improve my thinking skills and my natural ability, particularly in physics, but I don't mind if the book focusses on maths.

Also, what do people think of "The Art and Craft of Problem Solving" by Paul Zeitz? Is it worth buying?

Thanks!
 
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I enjoyed Principles of Mathematical Problem Solving by Erickson/Flowers
 
VeeEight said:
I enjoyed Principles of Mathematical Problem Solving by Erickson/Flowers

Thanks for the reply.

Do you have any tips on improving thinking skills and intuition in physics?
 
I think working on more problems is more fun and enjoyable, but if you have to read a book then How to Solve It by Polya is the classic.

The Zeitz book will probably be pretty difficult unless you are already familiar with contest style problems that involve the basics of high school mathematics.
 
I think the most fun and best way to learn math and physics is by doing challenging problems that require ingenuity and resourcefulness. Those problems should also illuminate the most important topics as well. A book that does that very well is Putnam and Beyond and a few other math Olympiad books.

Here are the best problem books for physics afaik. They should also prepare you well for the IPO if that is a goal of yours.

Problems in General Physics I.E. Irodov
Physics by Example: 200 Problems and Solutions by W.G. Rees
200 Puzzling Physics Problems by Peter Gnadig
A Guide to Physics Problems, Part 1: Mechanics, Relativity, and Electrodynamics
A Guide to Physics Problems: Part 2: Thermodynamics, Statistical Physics, and Quantum Mechanics
 
nobody's mentioned larson's problem solving through problems? that's another good one.

abelgalois said:
200 Puzzling Physics Problems by Peter Gnadig

just for fun I looked that one up on google books & found this problem: "A small object is on the edge of a horizontal table. It is pushed in such a way that after 2sec it falls off the other side of the table, which is 1m wide. Does the object have wheels?" :rolleyes:

I guess it's a problem about friction or something but I wouldn't know. Maybe it's just that I'm kind of an outsider but that sounded funny
 
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Hopefully I'll be going to my preferred university and I just wanted to improve my natural ability in maths and physics as this will make my degree easier and so I'd be able to do more stuff at university. Preparing for IPhO is an excellent idea. I'll look into that, thanks.
 

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