Sub plan on conformal mappings
4 views
Skip to first unread message
Liu
Dec 25, 2009, 5:42:00 AM12/25/09
to maths learning
Conformal mapping in complex analysis has a geometry flavor. Generally
the materials are centered with Riemann mapping theorem. We will of
course cover this theorem. Typically we will start with fractional
linear transformations. I will use Stein and Shakarchi’s book as main
textbook，again. Also, I will confer to the book “Visual Complex
analysis” written by Tristan Needham if needed.
the materials are centered with Riemann mapping theorem. We will of
course cover this theorem. Typically we will start with fractional
linear transformations. I will use Stein and Shakarchi’s book as main
textbook，again. Also, I will confer to the book “Visual Complex
analysis” written by Tristan Needham if needed.
Liu
Dec 27, 2009, 11:52:30 AM12/27/09
to maths learning
I just finished the first reading of Chapter 8: ”Conformal mappings”.
The theory is centered with Riemann mapping theorem, which is very
elegant. It assumes very little conditions but with a deep conclusion.
Montel’s theorem is just the complex version of Arzela-Ascoli theorem,
but with less condition, too. Maybe it’s just me but the Schwarz-
christoffel integral looks just like making dumplings. (-:
The theory is centered with Riemann mapping theorem, which is very
elegant. It assumes very little conditions but with a deep conclusion.
Montel’s theorem is just the complex version of Arzela-Ascoli theorem,
but with less condition, too. Maybe it’s just me but the Schwarz-
christoffel integral looks just like making dumplings. (-:
Reply all
Reply to author
Forward
0 new messages