Recent content by MelissaJL

Hi there, I'm currently taking Complex Analysis but do not feel like I have enough practice problems or course material (books, websites, Youtube channels, and etc) to study from. I was hoping some of you would have some stuff that I can check out. It would be greatly appreciated. I'm currently...

I have all of the Schaum's Outline on my computer including the Complex Analysis version. It doesn't always have practice problems or examples that pertain to what I'm doing in class though. I'll check out Visual Complex Analysis. Is there any other recommendations?

Hi there, I was just wondering if anyone knows of any good materials, books, websites, Youtube users etc for me to teach myself Complex Analysis for school. Some good practice problems with answers and explanations would be wicked too. Thanks :)

If I were to make a new thread later on finding resources, what category should I put it under?

At this point I could just really use some good resources for me to be an autodidact about this course. Any online books, Youtube users, websites with good solid examples and explanations.

My professor wants us to follow the definition the way he defined it in class but never gives us any examples. How do you put bounds on complex numbers then? Does anyone have any good resources for Complex Analysis? All I have for a textbook is that old Ian Stewart and David Tall's Complex...

Oh okay, thank you. So if I want to make an upper bound I first want to take 0<|z+1+2i|<1 but by definition of absolute value it turns into -1<z+1+2i<1 and if I want to take this and make it z-i I have to add -i-1-2i to each side which gives -i-2-2i<z-i<-i-2i. So |z-i|<-i-2i

Oh like making an upper or lower bound on it by taking one of the factors to be less than 1 then plugging it back into the other inequality??

trying the modulus wouldn't do anything for me right now since I still have that pesky z there in z+1+2i, can I expand z out as z=a+ib?

What do you mean by bounds on it?

Oh sorry that was a typo. I'm very dyslexic. On my paper I have it written down as |z-i||z+1+2i|<epsilon

Ahh I see what I did wrong with the long division. I definitely forgot that -i in there. So now I have: |(z+i)(z+1+2i)|<epsilon for 0<|z-i|<delta |z+i||z+1+2i|<epsilon but what can I do with z+1+2i to isolate z+1?

When I try the long division I get a remainder of i. Is that okay? I haven't ever done long division with complex numbers.

Homework Statement The lim(z->i) of [z^2+(1+i)z+2] using the epsilon-delta proof. Homework Equations z=x+iy Triangle Inequality: |z+w|<or=|z|+|w| The Attempt at a Solution For every epsilon>0, there exists a delta>0 such that |(z^2+(1+i)z+2)-(i)|<epsilon whenever 0<|z-i|<delta I'm not sure how...

Thank you so much :)