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Problems solving skills??

cosmicflow

Intp female
Joined
Jul 27, 2017
Messages
41
#1
Does anyone know a good book about developing skills on solving and analyzing problems and puzzles , especially in mathematics and physics ?
 

Serac

Prolific Member
Joined
Jun 7, 2017
Messages
1,186
Location
Stockholm
#2
How to solve it - Polya. Kinda basic but is the mandatory mention.
How to prove it - Velleman. Very good to read as no one really teaches you how to write proofs in university.
Cauchy-Shwartz master class - Steele. Very nice and elegant survey of inequalities.
How Euler did it - http://eulerarchive.maa.org/hedi/
 

BurnedOut

Active Member
Joined
Apr 19, 2016
Messages
276
#4
Does anyone know a good book about developing skills on solving and analyzing problems and puzzles , especially in mathematics and physics ?
Chess, researching, debating and playing a musical instrument. Will work. 100% surety.

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Joined
Jun 19, 2017
Messages
6
#6
The only way to improve your problem solving skills is through solving problems. However, you can speed up the process by learning standart problem solving techniques. I would suggest Paul Zeitz's The Art and Craft of Problem Solving to get you started, then Engel's Problem Solving Strategies to learn about techniques specific to different subjects in mathematics.
 

BurnedOut

Active Member
Joined
Apr 19, 2016
Messages
276
#7
Okay, problem solving skills, sometimes they come naturally to you or you have to develop a strict approach. This approach however when developed enhances the celerity of grasping problems significantly.

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Joined
Jun 20, 2011
Messages
36
#8
How to solve it - Polya. Kinda basic but is the mandatory mention.
How to prove it - Velleman. Very good to read as no one really teaches you how to write proofs in university.
Cauchy-Shwartz master class - Steele. Very nice and elegant survey of inequalities.
How Euler did it - http://eulerarchive.maa.org/hedi/
You must be a comrade (aka fellow mathematician).

I second Serac's recommendations, but I strongly recommend The Art and Craft of Problem Solving by Zeitz. That book really did change my life.
 
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