Register to reply

Need help learning to construct proofs

by quasar_4
Tags: construct, learning, proofs
Share this thread:
Jan19-07, 10:12 AM
P: 290
so, I am in my first upper level math course beyond required calculus and the introductory linear algebra class. I don't know if it's just a great jump or if I slept through something, but suddenly everything is all about doing proofs. I'm okay with that, and I think it's fabulous because proofs seem to yield deeper conceptual understanding, but I have no experience whatsoever with writing/constructing proofs. I can memorize axioms and whatnot, but then how do I get started? anyone have any good texts on proof writing or know of any resources that could help me? I'm clueless here!

I don't know if it makes a difference (with regards to what kind of proof I should study) but the class is Theory of Linear Algebra. I love the topic, just have no idea how to prove things for every case...
Phys.Org News Partner Mathematics news on
'Moral victories' might spare you from losing again
Fair cake cutting gets its own algorithm
Effort to model Facebook yields key to famous math problem (and a prize)
Jan19-07, 10:58 AM
P: 1,373
yes there is a good book called Problem Solving by "C" Larson. Not sure if the C is the write letter.

the main way that I learned how to do proofs was to cram allt he theorems on one page. granted that you actually have to understand these theorems.

The straight forward method is to just rearrange your problem by regurgitating each step via one the theorems that you have learned up till that point.

Larson's Book outlines steps you should take to rearranging a given problem in such as looking for a counterexample(contradiction), recursion(can't remember the proper term...oh induction), look for symmetry and parity.

At the beginning of it all though try to define your problem based on all the previous defintions that you have learned.

...onc eyou become more accustomed to knowing some theorems and techniques then you can skip the majority of steps.

Register to reply

Related Discussions
Proofs and learning them General Math 0
Reading proofs - impeding learning? General Math 7
Construct a launcher Engineering, Comp Sci, & Technology Homework 4
I need to construct an experiment with the aim.. General Physics 0
Proofs...advice/places to find more practice proofs Introductory Physics Homework 2