• 沒有找到結果。

課程大綱及進度表

N/A
N/A
Protected

Academic year: 2022

Share "課程大綱及進度表"

Copied!
3
0
0

加載中.... (立即查看全文)

全文

(1)

課程大綱及進度表

開課系所

數學三

開課學年

97

開課學期

1

課程名稱(中文)

複變數函數論

課程名稱(英文)

COMPLEX ANALYSIS

課程碼

C133800

分班碼

先修科目或先備能力

Calculus

Advance Calculus

學分數

3

開課教師

林君恆

e-mail

[email protected]

電話

65130

Office Hours By Appointment

課程概述

Introductory course on complex variables.

教學目標

This is an introduction class for complex analysis. Students will learn how to differentiate and integrate a function of complex variable and the corresponding analytic

function theory for complex valued functions.

授課課程大綱明細

Review on complex numbers

Analytic functions

(2)

Cauchy-Riemann Equations

Harmonic functions

Exponential and Logarithmic functions. Branches and derivative of Log

Complex Integral

Cauchy-Goursat theorem, Cauchy integral formula, Maximum modulus principle

Series, Residues and Poles

Selected Topics (if time allows)

參考書目

Textbook: Complex Variables and Applications. Author:

James Ward Brown, Ruel V.Churchill

Reference: Functions of one complex variable. Author: John B. Conway

Complex analysis. Author: Lars Ahlfors

(3)

課程要求

評量方式

Homework/Quiz 15%

Midterm 35%

Final 50%

課程網址

www.math.ncku.edu.tw/~khlam

助教資訊

備註

參考文獻

相關文件

The following is my

課程概述 Complex numbers, Analytic functions, Complex integration, Cauchy's theorem, Sequences and series of analytic.. functions, Residue theory, Conformal

Miller, Leray in Oflag XVIIA: The origins of sheaf theory, sheaf cohomology, and spectral sequences, Gaz. Narasimhan, Complex analysis in one variable, Birkh¨ auser,

These results cease to hold in the general case of complex coefficients, as Alinhac [2] has constructed such operators of any order in R 2 without the strong unique

On the other hand, we provide an alternative proof, which uses the new properties of the merit function, for the convergence result of the descent method considered in [Chen, J.-S.:

Analogous to the additional properties that ψ YF (given as (9)-(10)) possesses and as will be seen in Sec. 4, if F is strongly monotone [7] then f provides a global error bound

(1996), Global behaviour of a class of merit functions for the nonlinear complementarity problem, Journal of Optimization Theory and Applications, vol.. (2000), A new

TOMAS FEDER, PAVOL HELL, JING HUANG: List homomorphisms and circular arc graphs.. KOZLOV: Maximizing the Mobius function of a poset