Hi. This is a homework question, so I can't ask or give out too much info.
SO, there is a linear mapping F, and it is given that F=F^2.
Can I assume that everything about F, i.e. dimension, kernel, image, etc, is exactly the same for F^2? Or does it just mean that given a vector v, F(v) =...
Hi. I just came back from the registrar and dropped the complex analysis course I was failing.
I don't think I slacked off. True, it's the summer and I had a few kickbacks with my friends that I wouldn't have had during the academic year, but I really wasn't doing much else besides complex...
Homework Statement
i'm using Fisher's Complex Variables for my complex analysis class and there is a proof for Liouville's theorem. It says "Set g(z)=(F(z) - F(0)) / z; Then g is an entire function"
Homework Equations
N/A
The Attempt at a Solution
I am confused by that statement...
Homework Statement
Let f be an analytic function on the disc |z|<1 and satisfies |f(z)|≤M if |z|<1.
Show that |f(z)| \le M \left| \frac{z-a}{1-a'z} \right| when |z|<1
where a' is the complex conjugate of a
Homework Equations
This section uses maximum modulus principle, but I really don't...
Hi. I am taking complex analysis over the summer and I am having a difficult time learning the concepts. I've tried reading several dfiferent textbooks, and though they sometimtes state the same theorem using different wording, different arguments, etc, I am still having a hard time...
I feel like algebra proceeded in a fairly step by step way. First you covered basic number theory. Then Euclid's algorithm, then you go into GCD and modular arithmetic, then Euler's totient theorem, etc.
Complex analysis I guess does go in steps, covering complex variables first, then learning...
No, I think it's just that I totally suck at analysis. I took algebra and linear algebra (300 and 400 level courses) which had plenty of proofs. I was also taking differential equations last semester but ended up dropping it.
Proofs I am fine with, but it just something about complex analysis...
Hi I am taking summer class in complex analysis and I am having a horrible time.
I don't understand anything we've covered so far, e.g. Cauchy-Goursat theorem, Laurent series, series expansion, etc.
The prereqs was just Calc III, which I got an A- in.
The textbook isn't much help...
Hi. I'm a math major and I am considering either a CS minor or a stats minor.
The question I have is how useful a CS minor would be, especially in careers outside of software development. I would have to stay an extra semester for a stats minor, but I see a stats minor as more applicable...
Hi. I'm currently a math major and I need to choose a concentration (CS or stats).
I've already taken MATLAB and currently taking C++. I've noticed that upper-level courses are not about programming but are about machine learning, algorithms, cryptography, etc.
I think I am capable at...
Homework Statement
Find all integers x such that
7x \equiv 11 mod 30 and
9x \equiv 17 mod 25
Homework Equations
I guess the Chinese Remainder theorem and Bezout's theorem would be used here.
The Attempt at a Solution
I can do this if the x-terms didn't have a...
Homework Statement
Use Eisenstein's criterion to show that 2*x^4 - 8x^2 + 3 is irreducible in Q[x]
Homework Equations
Eisenstein's criterion states that a polynomial is irreducible in Q[x] if the following three conditions are met for a prime p.
(i) p divides all coefficients except a_n...
Hi. I will be a math major starting nex semester as a junior.
I transferred from a CC, so the only math courses I have taken are linear algebra and calc III.
I only have 2 years left at the college I've transferred into and there are just so many courses I want to take.
Should I be so...
Since I am only an undergrad and not actively planning on attending grad school, it won't be of utmost importance to find the perfect adviser for me.
I am currently a sophomore. I haven't declared my major yet, but I am pretty sure it will be math. I have only taken linear algebra, calc III...
k is a square modulo m??
\:Homework Statement
This is a portion of the problem. I have to prove that A holds if and only if k is a square modulo m.
I have no idea what "k is a square modulo m" means.
Homework Equations
The Attempt at a Solution
I've looked it up online and found some PDF's...