35 episodes

本課程主要目的是探討解析函數之微分及積分性質,作為後續研究之基礎。

複變函數論 Complex Analysis National Chiao Tung University

    • Education

本課程主要目的是探討解析函數之微分及積分性質,作為後續研究之基礎。

    • video
    第一章 Complex Numbers (1/3)

    第一章 Complex Numbers (1/3)

    Section1 Sums and Products
    Section2 Basic Algebraic Properties Further Properties
    Section3 Moduli
    Section4 Complex Conjugates

    • 38 min
    • video
    第一章 Complex Numbers (2/3)

    第一章 Complex Numbers (2/3)

    Section5 Polor Form
    Section6 Exponential Form
    Section7 Powers and Roots

    • 49 min
    • video
    第一章 Complex Numbers (3/3) & 第二章 Analytic Functions (1/6)

    第一章 Complex Numbers (3/3) & 第二章 Analytic Functions (1/6)

    Section8 Regions in the Complex Plane
    Section9 Functions of a Complex Variable
    Section10 Mappings
    Section11 Mappings by the Exponential Function

    • 50 min
    • video
    第二章 Analytic Functions (2/6)

    第二章 Analytic Functions (2/6)

    Section12 Limits
    Section13 Theorems in Limits
    Section14 Derivatives
    Section15 Differentiation Formulas

    • 1 hr 32 min
    • video
    第二章 Analytic Functions (3/6)

    第二章 Analytic Functions (3/6)

    Section16 Limits Involving the Points at Infinity
    Section17 Continuity
    Section18 Differentiatility

    • 54 min
    • video
    第二章 Analytic Functions (4/6)

    第二章 Analytic Functions (4/6)

    Section18 Differentiatility
    Section19 Differentiatility Formulas
    Section20 Cauchy-Riemann Equations
    Section21 Reflectiotn Principle
    Section22 C-R equation in Polar Form
    Section23 Analytic Function

    • 1 hr 36 min

Top Podcasts In Education

Listeners Also Subscribed To

More by National Chiao Tung University