Recent content by squelchy451

Hi I've recently decided to become a math major, as it's the subject that I've enjoyed the most and had the most exposure to during high school. During high school, the AP Calc classes and a Calc III course I took at a local CC came to me quite naturally. I just followed along to the...

Honors analysis is known to be one of the hardest math courses...people that I've talked to advised me not to take it unless I'm really up for it. I'll be taking a 400 level stats course next semester..maybe it'll come up there.

Searching the course catalog doesn't really show any courses that focus on measure theory. Honors analysis syllabus shows that it covers Lebesgue measure and integration. I'm just starting out, so I don't know too much about the courses. What kind of courses would focus on measure theory?

Two courses in Algebra (Linear algebra, intro to algebra, computational algebra, number theory, matrix group, applicable algebra) Two courses in analysis (analysis, manifolds and differential forms, intro to diff eq, applied complex analysis, Waves and Fourier series, Intro to partial diff...

Hi. I am a math major that got started late. I started taking prerequisites during my sophomore year (which I'm finishing this year). I'll be taking some courses in algebra and analysis next year. There are some courses that can fulfill my major requirements, but some are theoretical and some...

Hi. I'm planning on doing a double major with psychology and mathematics. My parents are opposed to this, and they think that I should major in psychology and do premed. They are doctors and all their doctor friends are employed and having a good life in general. The only people that they know...

I know what you are trying to say but in terms of rational numbers, there are no factors in common between 24 and 49, but according to this problem, there might be a factor that is a quadratic integer in Q[sqrt3]. The question is which numbers do we know is a factor or not? Since 3 is not...

It's very complicated and one of the steps to finding the GCD requires me to find a number that is an integer...

The idea for this program is derived from Euclid's algorithm...i just need to see if a number is an integer or not If I fix the loop to while and increase the upper bound of the counter to say 35, would this program help me see if b contains decimals or not?

Hi I wanted to make a program that would check if a number if it was an integer or not in Java. here's the source code: import static java.lang.Math.*; public class gcd { public static void main(String [] args) { double a = 1; double b =1; double c = 1...

On a side note, are a + b sqrt d and a - b sqrt d where a, b, and d are rational integers (and d is not a perfect square) relatively prime?

The 'hypothenuse' seems to play a role in that 1 -8 -7 28 -16 9 -7 - 1 = -8 -7 - 9 = -16 As far as the other numbers go I haven't gotten them yet, but just putting this out there as a possible stepping stone

Technically, infinity is not a number The reasoning that n < n+1 is satisfied for all numbers, I think that's what it's trying to say

For the theorem that states that in quadratic field Q[sqrt d], if d is congruent to 1 mod 4, then it is in the form (a + b sqrt d)/2 and if it's not, it's in the form a + b sqrt d where a and b are rational integers, is it saying that if a and b are rational integers and the quadratic number are...

I COULD use the euclidean algorithm, but I wouldn't know where to start, as these numbers are rational primes, and I need to find solutions in Q[sqrt 3]