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| 課程介紹 | 上課影音 56K|192K|320K|MP4
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| 第一章 Complex Numbers |
| Section1 | Sums and Products | 上課影音 56K|192K|320K|MP4
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| Section2 | Basic Algebraic Properties |
| Further Properties |
| Section3 | Moduli |
| Section4 | Complex Conjugates |
| Section5 | Polor Form | 上課影音 56K|192K|320K|MP4
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| Section6 | Exponential Form |
| Section7 | Powers and Roots |
| Section8 | Regions in the Complex Plane | 上課影音 56K|192K|320K|MP4
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| 第二章 Analytic Functions |
| Section9 | Functions of a Complex Variable | 上課影音
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| Section10 | Mappings |
| Section11 | Mappings by the Exponential Function |
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| Section12 | Limits | 上課影音 56K|192K|320K|MP4
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| Section13 | Theorems in Limits |
| Section14 | Derivatives |
| Section15 | Differentiation Formulas |
| Section16 | Limits Involving the Points at Infinity | 上課影音 56K|192K|320K|MP4
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| Section17 | Continuity |
| Section18 | Differentiatility |
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Section19
| Differentiatility Formulas | 上課影音 56K|192K|320K|MP4
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Section20
| Cauchy-Riemann Equations |
Section21
| Reflectiotn Principle |
Section22
| C-R equation in Polar Form |
Section23
| Analytic Functions |
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Section24
| Harmonic Functions | 上課影音 56K|192K|320K|MP4
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| Section25 | Harmonic Functions-1 | 上課影音
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Section26
| Uniquely Determined Analytic Functions |
Section27
| Refelction Principle |
| 第三章 Elementary Functions |
| Section28 | The Exponential Function | 上課影音
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| Section29 | The Logarithmic Function | 上課影音 56K|192K|320K|MP4
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| Section31 | Branches and Derivatives of Logarithms |
| Section32 | Complex Exponents Functions |
| Section33 | Trigonometric Functions |
| Section34 | Hyperbolic Functions | 上課影音
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| Section35 | Inverse Trigonometric and Hyperbolic Functions |
| 第四章 Integrals |
| Section36 | Derviatives of Functions | 上課影音
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| Section37 | Integrals |
| Section38 | Contours |
| Section39 | Contours Integrals |
| Section40 | Examples |
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| Section41 | Antiderivatives | 上課影音 56K|192K|320K|MP4
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| Section42 | Fundamental Theory of Integral |
| Section43 | Examples |
| Section44 | Cauchy-Goursat Theorem (VersionI) | 上課影音 56K|192K|320K|MP4
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| Section45 | Cauchy-Goursat Theorem (VersionII) | 上課影音
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| Section46 | Cauchy-Goursat Theorem (VersionIII) |
| Section47 | Cauchy Integral Formula |
| Section48 | Derivatives of Analytic Functions |
| Section49 | Liouvilles Theorem |
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| Section50 | Maximum Modulus Principle | 上課影音
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| 第五章 Series |
| Section51 | Convergence of Sequences | 上課影音 56K|192K|320K|MP4
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| Section52 | Convergence of Series |
| Section53 | Taylor Series |
| Section54 | Examples |
| Section55 | Laurent Series | 上課影音
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| Section56 | Examples |
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| Section57 | Absolate amd Uniform Convergence of Power Series | 上課影音 56K|192K|320K|MP4
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| Section58 | Continuity of Sums of Power Series | 上課影音 56K|192K|320K|MP4
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| Section59 | Integration and Differentiation of Power Series |
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| Section60 | Uniqueness of Series Representations | 上課影音 56K|192K|320K|MP4
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| Section61 | Multiplication and Division of Power Series | 上課影音
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| 第六章 Residues and Poles |
| Section62 | Residues | 上課影音
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| Section63 | Cauchys Residue Theorem |
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| Section64 | Using a single Residue | 上課影音 56K|192K|320K|MP4
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| Section65 | The Three Types of Isolated Singular Points |
| Section66 | Residues at Poles | 上課影音 56K|192K|320K|MP4
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| Section67 | Examples |
| Section68 | Zeros of Analytic Functions |
| Section69 | Zeros and Poles | 上課影音 56K|192K|320K|MP4
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| Section70 | Behavior of f Near Isolated Singular Points |
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| 第七章 Residues and Poles |
| Section71 | Evaluation of Improper Integrals | 上課影音 56K|192K|320K|MP4
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| Section72 | Example |
| Section73 | Improper Integrals from Fourier Analysis | 上課影音 56K|192K|320K|MP4
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| Section74 | Jordans Lemma |
| Section75 | Indented PAths |
| Section76 | An Indentation Around a Branch Point |
| Section77 | Integration Along a Branch Cut | 上課影音 56K|192K|320K|MP4
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| Section78 | Definite Integrals Involving Sines and Cosines |
| Section79 | Argument Principle | 上課影音 56K|192K|320K|MP4
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| Section80 | Rouches Theorem |
| Section81 | Inverse Laplace Transforms |
| Section82 | Examples |
| 第八章 Mapping by Elementary Functions |
| Section86 | Linear Fractional Transformations | 上課影音
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| 第九章Conformal Mapping |
| Section94 | Preservation of Angles | 上課影音 56K|192K|320K|MP4
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发表于 2010-7-18 10:22
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