Problems involving finding proofs?

  • Thread starter Thread starter Alkatran
  • Start date Start date
  • Tags Tags
    Proofs
Alkatran
Science Advisor
Homework Helper
Messages
959
Reaction score
0
Where can I find some good problems involving finding proofs? I want to see how far I can go as it's relatively new to me...
 
Mathematics news on Phys.org
I recommend "How to Prove It" by Velleman:

 
Nice, but I was looking for a free ressource. I'm in no rush to learn it, as I probably won't run into it this year in university.
 
I would strongly recommend NOT buying Vellman, it's a stinking pile of poo, that just serves to retard the development of people's ability to actually prove anything. And I'm speaking from experience of teaching people who've worked from that book and are under the impression that to prove some statement such as if x is even x^2 is even it is sufficient to draw a sodding truth table.
 

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Thread 'Fermat's Last Theorem'

Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
View full post »

Thread 'Useless continued fraction for 1'

I'm interested to know whether the equation $$1 = 2 - \frac{1}{2 - \frac{1}{2 - \cdots}}$$ is true or not. It can be shown easily that if the continued fraction converges, it cannot converge to anything else than 1. It seems that if the continued fraction converges, the convergence is very slow. The apparent slowness of the convergence makes it difficult to estimate the presence of true convergence numerically. At the moment I don't know whether this converges or not.
View full post »

Similar threads

I Monumental Proof Settles Geometric Langlands Conjecture
Replies
1
Views
2K
B I've been trying to understand the proof for the binomial theorem
Replies
6
Views
2K
I Proof for interpolating polynomial and error approximation
Replies
6
Views
2K
B Proof that pattern recognition is unending?
Replies
12
Views
2K
I Proof of Differences of Odd Powers
Replies
11
Views
2K
B New solutions to old, historic problems
Replies
2
Views
2K
I On a proof of the converse of the supporting hyperplane theorem
Replies
9
Views
2K
I Proof of average height of half circle
Replies
19
Views
3K
I Formal proof for the theorem of corresponding angles
Replies
1
Views
2K
I Finding the equation of a curved line
Replies
16
Views
3K

Hot Threads

Recent Insights

Back
Top