Math Degree Projects/Theses: Ideas & Resources

[JohanL]

Next year I am going to write a degree project/thesis in mathematics.
Do you have any suggestions or do you know a webpage with
lists of possible degree projects. Preferably Mathematical Physics.

 

[Tide]

That's a rather broad request. What are your interests? What issues in Math and Physics excite you?

 

[JasonRox]

Extremely broad.

I am pretty sure mathematics (or just algebra) is based on the assumption that -1*1=-1. Otherwise, we can't prove -1*(-1)=1.

Look into how mathematics might, if it does, change if we change it to -1*1=1. Therefore, 1*1=-1. Which means, sqrt(-1) is defined.

Probably easy to solve, but I'm curious to know what happens at the higher levels of mathematics.

 

[gazzo]

Start reading books/papers on the areas that you're interested in. Soon you'll find a place where you can contribute. )

best of luck!

 

[StatusX]

what's the square root of one in your system? And anyway, I thought 1 was defined as the multiplicative identity. I don't see how this system could be meaningful, or even consistent.

 

[JasonRox]

what's the square root of one in your system? And anyway, I thought 1 was defined as the multiplicative identity. I don't see how this system could be meaningful, or even consistent.

Square root of one doesn't "exist".

You can check that using the fundamental laws of algebra.

 

[Astronuc]

Unsolved math problems

http://mathworld.wolfram.com/UnsolvedProblems.html

I seem to recall that there are some unsolved BVPs, but I can't recall exactly where I read that.

 

[Gokul43201]

Look into how mathematics might, if it does, change if we change it to -1*1=1. Therefore, 1*1=-1. Which means, sqrt(-1) is defined.

All you're doing is interchanging the representations of the additive identity and its additive inverse.

In any case, the square root of -1 is defined.