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seen Apr 4 at 8:33

Apr
4
comment Prove $Tf$ is continuous, $T$ is a contraction and find a solution to the integral $f(x)$
How would I go about solving this equation? And is my answer to a.) correct? I think I have included some errors in my proof?
Apr
4
asked Prove $Tf$ is continuous, $T$ is a contraction and find a solution to the integral $f(x)$
Apr
4
comment Is this map continuous?
Is this correct for $(C^1([0,1]), ||.||_\infty)\longrightarrow (\mathbb{R}, |.|)$? As I suspect it may only work for $(C^1([0,1]), ||.||_\infty)\longrightarrow (C([0,1]), ||.||_\infty)$?
Apr
3
asked Is this map continuous?
Apr
3
asked Which of the following sets are open (or closed)?
Nov
17
awarded  Commentator
Nov
17
comment Evaluate the integral $\int_{\gamma}\frac{z^2+2z}{z^2+4}dz$
I've changed my partial fractions. Is this now correct?
Nov
17
revised Evaluate the integral $\int_{\gamma}\frac{z^2+2z}{z^2+4}dz$
deleted 38 characters in body
Nov
17
comment Evaluate the integral $\int_{\gamma}\frac{z^2+2z}{z^2+4}dz$
It's called Complex Analysis by Stewart and Tall. And I'll take another look at my partial fractions as they are incorrect.
Nov
17
comment Evaluate the integral $\int_{\gamma}\frac{z^2+2z}{z^2+4}dz$
'DepeHb': I think we're meant to use Cauchy's Integral Theorem. 'Git Gud': I can't say I am familiar with that definition. Is what I've done so far correct? And what would be the next logical step?
Nov
17
comment Evaluate the integral $\int_{\gamma}\frac{z^2+2z}{z^2+4}dz$
Would that involve the Cauchy formula?
Nov
17
asked Evaluate the integral $\int_{\gamma}\frac{z^2+2z}{z^2+4}dz$
Nov
8
awarded  Tumbleweed
Nov
1
awarded  Editor
Nov
1
revised Show that $\sum_{n=0}^\infty r^n e^{i n \theta} = \frac{1- r\cos(\theta)+i r \sin(\theta)}{1+r^2-2r\cos(\theta)}$
added 15 characters in body
Nov
1
accepted Show that $\sum_{n=0}^\infty r^n e^{i n \theta} = \frac{1- r\cos(\theta)+i r \sin(\theta)}{1+r^2-2r\cos(\theta)}$
Nov
1
awarded  Supporter
Nov
1
asked Show that $\sum_{n=0}^\infty r^n e^{i n \theta} = \frac{1- r\cos(\theta)+i r \sin(\theta)}{1+r^2-2r\cos(\theta)}$
Feb
22
awarded  Scholar
Feb
22
accepted How do I sketch the following norms: