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Solutions to Complex Variables and its Applications 8e
by Churchill and Brown
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116 of 597 listed exercises currently have solution PDFs.
Chapter 1: Complex Numbers
Chapter 2: Analytic Functions
Chapter 3: Elementary Functions
Chapter 4: Integrals
Chapter 5: Series
Chapter 6: Residues and Poles
Chapter 7: Applications of Residues
Chapter 8: Mapping by Elementary Functions
Chapter 9: Conformal Mapping
Chapter 10: Applications of Conformal Mapping
Chapter 11: The Schwarz--Christoffel Transformation
Chapter 12: Integral Formulas of the Poisson Type
Section 2: Basic Algebraic Properties
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Section 3: Further Properties
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Section 4: Vectors and Moduli
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Section 5: Complex Conjugates
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Section 8: Arguments of Products and Quotients
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Section 10: Examples
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Section 11: Regions in the Complex Plane
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Section 12: Functions of a Complex Variable
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Section 14: Mappings by the Exponential Function
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Section 18: Continuity
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Section 20: Differentiation Formulas
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Section 23: Polar Coordinates
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Section 25: Examples
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Section 26: Harmonic Functions
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Section 28: Reflection Principle
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Section 29: The Exponential Function
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Section 31: Branches and Derivatives of Logarithms
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Section 32: Some Identities Involving Logarithms
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Section 33: Complex Exponents
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Section 34: Trigonometric Functions
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Section 35: Hyperbolic Functions
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Section 36: Inverse Trigonometric and Hyperbolic Functions
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Section 38: Definite Integrals of Functions w(t)
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Section 39: Contours
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Section 42: Examples with Branch Cuts
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Section 43: Upper Bounds for Moduli of Contour Integrals
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Section 45: Proof of the Theorem
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Section 49: Multiply Connected Domains
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Section 52: Some Consequences of the Extension
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Section 54: Maximum Modulus Principle
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Section 56: Convergence of Series
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Section 59: Examples
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Section 62: Examples
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Section 66: Uniqueness of Series Representations
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Section 67: Multiplication and Division of Power Series
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Section 71: Residue at Infinity
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Section 72: The Three Types of Isolated Singular Points
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Section 74: Examples
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Section 76: Zeros and Poles
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Section 79: Example
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Section 81: Jordan's Lemma
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Section 84: Integration Along a Branch Cut
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Section 85: Definite Integrals Involving Sines and Cosines
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Section 87: Rouché's Theorem
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Section 89: Examples
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Section 90: Linear Transformations
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Section 92: Mappings by 1/z
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Section 94: An Implicit Form
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Section 95: Mappings of the Upper Half Plane
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Section 96: The Transformation w = sin z
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Section 97: Mappings by z² and Branches of z¹/²
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Section 98: Square Roots of Polynomials
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Section 99: Riemann Surfaces
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Section 100: Surfaces for Related Functions
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Section 103: Local Inverses
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Section 106: Transformations of Boundary Conditions
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Section 110: Temperatures in a Quadrant
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Section 112: Potential in a Cylindrical Space
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Section 115: Flows Around a Corner and Around a Cylinder
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Section 117: Schwarz--Christoffel Transformation
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Section 119: Degenerate Polygons
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Section 122: Electrostatic Potential About an Edge of a Conducting Plate
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Section 124: Dirichlet Problem for a Disk
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Section 125: Related Boundary Value Problems
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Section 127: Dirichlet Problem for a Half Plane
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Section 128: Neumann Problems
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