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Problems solving skills??

cosmicflow

Intp female
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Today, 02:31
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Jul 27, 2017
Messages
51
#1
Does anyone know a good book about developing skills on solving and analyzing problems and puzzles , especially in mathematics and physics ?
 

Serac

A menacing post slithers
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Jun 7, 2017
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1,509
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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
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Today, 07:01
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Apr 19, 2016
Messages
281
#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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Niclmaki

Disturber of the Peace
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Yesterday, 21:31
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Oct 21, 2012
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377
Location
Canada
#5
Play a lot of different games in childhood. Better start designing a time machine.
 
Local time
Today, 02:31
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#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
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#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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Local time
Yesterday, 18:31
Joined
Jun 20, 2011
Messages
39
#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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