>mfw trying to write a proof
Is there an at least somewhat systematic way a beginner can practice and get good at writing proofs? Or should I just accept that I'm a hopeless brainlet...
>>8295812
Take very simple proofs and write as many as you can. For example, prove to me that multiplying and odd and even number will always be even.
>>8295812
Get a book like A transition to advanced mathematics or How to prove it and go from there. Look at proofs and copy how they do them.
>>8295819
Let n be an even number and let m be an odd number.
[eqn]n\times m = \text{Proof is trivial.}[/eqn]
>>8295812
Honestly do a bunch of formal logic to get used to proofs.
Op youre looking for "the book of proof"
>>8295832
Lol i know it is an incredibly simple proof but it still helps to develop the language and syntax of a proper proof particularly for someone new to writing proofs.
>>8295812
look up some maths-related youtube channels
>>8295819
Let
a = 2x + 1
b = 2y
For some x and y.
Then
a + b = 2x + 2y + 1 = 2(x + y) + 1
So their sum was odd, you liar.
Do all the exercises in Spivak's first 4 chapters
>>8295812
Just practice doing proofs and read proofs at whatever level you're currently at.
If possible have someone experienced to check them with and who can critique methods and style or give advice about techniques.
Or adopt the 21st century proof.
http://research.microsoft.com/en-us/um/people/lamport/pubs/proof.pdf