Looking for Good Problem Solving Books? Any Recommendations?

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Discussion Overview

The discussion revolves around recommendations for problem-solving books, particularly in the fields of physics and mathematics. Participants express interest in improving their thinking skills and natural abilities through various resources, including both classic and contemporary texts.

Discussion Character

  • Exploratory, Debate/contested, Conceptual clarification

Main Points Raised

  • One participant asks for recommendations on problem-solving books to enhance thinking skills, specifically in physics and mathematics.
  • Another participant recommends "Principles of Mathematical Problem Solving" by Erickson/Flowers, citing enjoyment from the book.
  • A different participant suggests "How to Solve It" by Polya as a classic resource, while cautioning that the Zeitz book may be challenging for those unfamiliar with contest-style problems.
  • One participant emphasizes the importance of engaging with challenging problems to learn math and physics effectively, recommending "Putnam and Beyond" and various math Olympiad books.
  • Several physics problem books are mentioned, including "Problems in General Physics" by I.E. Irodov and "200 Puzzling Physics Problems" by Peter Gnadig, among others.
  • A participant humorously references a specific problem from "200 Puzzling Physics Problems," questioning its nature and expressing uncertainty about its context.
  • Another participant expresses a desire to improve their natural abilities in math and physics to facilitate their university studies and mentions preparing for the International Physics Olympiad (IPhO) as a goal.

Areas of Agreement / Disagreement

Participants share various book recommendations and personal experiences, but there is no consensus on a single best resource. Different viewpoints on the effectiveness of specific books and approaches to problem-solving are present.

Contextual Notes

Some recommendations depend on familiarity with certain problem types or styles, and participants express varying levels of confidence in their suggestions. The discussion does not resolve which books are definitively the best for improving problem-solving skills.

Who May Find This Useful

Individuals interested in enhancing their problem-solving abilities in mathematics and physics, particularly students preparing for university or competitive exams like the IPhO.

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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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