1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
|
---
toc: no
...
> In the 19th century, impelled by strange coincidences in the theory of infinite sums and integrals, mathematicians began to develop a theory of calculus for functions of a complex variable. What they discovered was a surprising and beautiful geometric structure, which was quickly linked to the burgeoning physical theories of electromagnetism and fluid flow, revolutionized the study of differential equations and number theory, and ultimately inspired the modern field of topology. The goal of our class is to explain and understand those developments. We will begin with a visual exploration of the complex numbers, and proceed to develop complex calculus and the geometric constructions associated with it. Along the way, we will investigate connections with fourier analysis, physics, topology, music, and cartography. The class is also a case study in why mathematics is awesome: how seemingly simple questions lead to beautiful structures, surprising connections, and, of course, more questions.
Helpful Links:
- [Google Group (mailing list)](http://groups.google.com/group/after-klein)
Class-by-Class Notes:
- [Lecture 1](ClassJune26)
- [Lecture 2](ClassJune28)
- [Lecture 3](ClassJuly5)
- [Lecture 4](ClassJuly7)
- [Lecture 5](ClassJuly10)
Problems:
- [Problem Set 1]()
- [Problem Set 2]()
- [Problem Set 3]()
- [Problem Set 4]()
## Getting started with this wiki
Create a user account with the link in the upper right hand corner. You can edit this
page by clicking on the "edit" tab at the top of the screen.
For instructions on how to make a link to another wiki page, see [the
Help page](Help#wiki-links). To create a new wiki page, just create a
link to it and follow the link. Help is always available through the "Help" link in the sidebar.
More details on installing and configurating gitit are available
in the [Gitit User's Guide]().
There is an RSS feed to follow changes, pages can be exported as PDF, files up to 10megs can be uploaded, etc.
## Using LaTeX Math
All the pretty math, like $\frac{1}{\sqrt{c^2}}$ or $$\frac{1}{\sqrt{c^2}}$$ is rendered with jsMath, which explains the obnoxious popup window you will see...
|
