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International Series in Pure and Applied Mathematics : Complex Variables and Applications by Ruel V. Churchill and James W. Brown (1995, Diskette / Mixed Media)

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COMPLEX VARIABLES AND APPLICATIONS By James Ward Brown, Ruel Churchill - Hardcover **Mint Condition**.

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Product Information

This text, and accompanying disk, provides coverage of complex variables. It uses examples and exercise sets, with clear explanations of problem-solving techniqes and material on the further theory of functions.

Product Identifiers

Publisher
McGraw-Hill Higher Education
ISBN-10
0079121470
ISBN-13
9780079121479
eBay Product ID (ePID)
33886

Product Key Features

Author
James w. Brown, Ruel V. Churchill
Publication Name
Complex Variables and Applications
Format
Diskette / Mixed Lot
Language
English
Series
International Series in Pure and Applied Mathematics
Publication Year
1995
Type
Textbook
Number of Pages
352 Pages

Dimensions

Item Length
9.5in
Item Height
1.2in
Item Width
6.5in
Item Weight
25.6 Oz

Additional Product Features

Lc Classification Number
Qa331.7.C524 1996
Edition Number
6
Table of Content
PREFACE CHAPTER 1: Complex Numbers 1. Sums and Products 2. Algebraic Properties 3. Moduli and Conjugates 4. Triangle Inequality 5. Polar Coordinates and Euler's Formula 6. Products and Quotients in Exponential Form 7. Roots of Complex Numbers 8. Regions in the Complex Plane CHAPTER 2: Analytic Functions 9. Functions of a Complex Variable 10. Mappings 11. Limits 12. Theorems on Limits 13. Limits Involving the Point at Infinity 14. Continuity 15. Derivatives 16. Differential Formulas 17. Cauchy-Riemann Equations 18. Sufficient Conditions for Differentiability 19. Polar Coordinates 20. Analytic Functions 21. Reflection Principle 22. Harmonic Functions CHAPTER 3: Elementary Functions 23. The Exponential Function 24. Trigonometric Functions 25. Hyperbolic Functions 26. The Logarithmic Function and Its Branches 27. Some Identities Involving Logarithms 28. Complex Exponents 29. Inverse Trigonometric and Hyperbolic Functions CHAPTER 4: Integrals 30. Complex-Valued Functions w(t) 31. Contours 32. Contour Integrals 33. Examples 34. Antiderivatives 35. Examples 36. Cauchy-Goursat Theorem 37. Proof of the Theorem 38. Simply and Multiply Connected Domains 39. Cauchy Integral Formula 40. Derivatives of Analytic Functions 41. Liouville's Theorem and the Fundamental Theorem of Algebra 42. Maximum Moduli of Functions CHAPTER 5: Series 43. Convergence of Sequences and Series 44. Taylor Series 45. Examples 46. Laurent Series 47. Examples 48. Absolute and Uniform Convergence of Power Series 49. Integration and Differentiation of Power Series 50. Uniqueness of Series Representations 51. Multiplication and Division of Power Series 52. Analytic Continuation CHAPTER 6: Residues and Poles 53. Residues 54. Residue Theorems 55. The Three Types of Isolated Singular Points 56. Residues at Poles 57. Zeros and Poles of Order m 58. Conditions under Which f (z) = 0 59. Behavior of f Near Removable and Essential Singular Points CHAPTER 7: Applications of Residues 60. Evaluation of Improper Integrals 61. Improper Integrals Involving Sines and Cosines 62. Definite Integrals Involving Sines and Cosines 63. Indented Paths 64. Integration along a Branch Cut 65. Argument Principle and Rouche's Theorem 66. Inverse Laplace Transforms 67. Examples CHAPTER 8: Mapping by Elementary Functions 68. Linear Transformations 69. The Transformation w = 1/z 70. Linear Fractional Transformations 71. An Implicit Form 72. Mapping of the Upper Half Plane 73. Exponential and Logarithmic Transformations 74. The Transformation w = sin z 75. Mappings by Branches of z 1/2 76. Square Roots of Polynomials 77. Riemann Surfaces 78. Surfaces for Related Functions CHAPTER 9: Conformal Mapping 79. Preservation of Angles 80. Further Properties 81. Harmonic Conjugates 82. Transformations of Harmonic Functions 83. Transformations of Boundary Conditions CHAPTER 10: Applications of Conformal Mapping 84. Steady Temperatures 85. Steady Temperatures in a Half Plane 86. A Related Problem 87. Temperatures in a Quadrant 88. Electrostatic Potential 89. Potential in a Cylindrical Space 90. Two-Dimensional Fluid Flow 91. The Stream Function 92. Flows around a Corner and around a Cylinder CHAPTER 11: The Schwartz-Christoffel Transformation 93. Mapping the Real Axis onto a Polygon 94. Schwarz-Christoffel Transformation 95. Triangles and Rectangles 96. Degenerate Polygons 97. Fluid Flow in a Channel through a Slit 98. Flow in a Channel with an Offset 99. Electrostatic Potential about an Edge of a Conducting Plate CHAPTER 12: Integral Formulas of the Poisson Type 100. Poisson Integral Formula 101. Dirichlet Problem for a Disk 102. Related Boundary Value Problems 103. Schwarz Integral Formula 104. Dirichlet Problem for a Half Plane 105. Neumann Problem for a Disk 106. Neumann Problem for a Half Plane APPENDIXES 1. Bibliography 2. Table of Transformations of Regions INDEX
Copyright Date
1996
Target Audience
College Audience
Topic
Hardware / Personal Computers / Macintosh
Lccn
95-009898
Dewey Decimal
515/.93
Dewey Edition
20
Illustrated
Yes
Genre
Computers

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International Series in Pure and Applied Mathematics : Complex Variables and Applications by Ruel V. Churchill and James W. Brown (1995, Diskette / Mixed Media)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

All listings for this product

item 1 Complex Variables and Applications

item 2 Complex Variables and Applications Ruel V., Brown, James W. Churc

item 3 Complex Variables and Applications Ruel V., Brown, James W. Churc

item 4 Complex Variables and Applications by Churchill (hardcover)

item 5 Complex Variables and Applications Brown, James Ward, Churchill, Ruel V. hardco

item 6 COMPLEX VARIABLES AND APPLICATIONS By James Ward Brown & Ruel Churchill Mint

item 7 Complex Variables And Applications, Sixth Edition & FloppyBy Brown & Churchill

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