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May 2nd, 2017, 06:45 AM  #1 
Senior Member Joined: Nov 2015 From: United States of America Posts: 167 Thanks: 21 Math Focus: Calculus and Physics  Advanced Calculus
Hello all, I am going to be taking Advanced Calculus soon where the whole class revolves around proofs and presenting them to students. I have never taken a class like this before, and honestly have very little experience with proofs. What is the best thing I can do to prepare for a class like this? Just go through my calculus textbook and practice the proofs? Or start even earlier and do algebraic proofs? Or something completely different? Thanks big time. Jacob 
June 26th, 2017, 05:24 PM  #2 
Senior Member Joined: Oct 2013 From: New York, USA Posts: 600 Thanks: 82 
Do you know how to prove that a square number cannot be 2 more than a multiple of 3? It doesn't require calculus, and a student taking Advanced Calculus should be able to prove that. Do you know trigonometric proofs? Do you know the basic calculus proof that given a fixed perimeter, the largest rectangular area is a square?

June 26th, 2017, 06:07 PM  #3 
Senior Member Joined: Aug 2012 Posts: 1,889 Thanks: 525 
I keep hearing about an excellent book called How to Prove it by Velleman. Here's the Amazon link. https://www.amazon.com/HowProveStr.../dp/0521675995 
June 26th, 2017, 08:02 PM  #4  
Senior Member Joined: Dec 2012 From: Hong Kong Posts: 853 Thanks: 311 Math Focus: Stochastic processes, statistical inference, data mining, computational linguistics  Quote:
 

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