FREE SHIPPING BOTH WAYS
ON EVERY ORDER!
LIST PRICE:
$136.35

Sorry, this item is currently unavailable.

Complex Variables and Applications

ISBN: 9780079121479 | 0079121470
Format: Hardcover
Publisher: MCG (Manual)
Pub. Date: 10/1/1995

Why Rent from Knetbooks?

Because Knetbooks knows college students. Our rental program is designed to save you time and money. Whether you need a textbook for a semester, quarter or even a summer session, we have an option for you. Simply select a rental period, enter your information and your book will be on its way!

Top 5 reasons to order all your textbooks from Knetbooks:

  • We have the lowest prices on thousands of popular textbooks
  • Free shipping both ways on ALL orders
  • Most orders ship within 48 hours
  • Need your book longer than expected? Extending your rental is simple
  • Our customer support team is always here to help
SummaryTable of Contents
This text is part of the International Series in Pure and Applied Mathematics. It is designed for junior, senior, and first-year graduate students in mathematics and engineering. This edition preserves the basic content and style of earlier editions and includes many new and relevant applications which are introduced early in the text.
Prefacexv
1 Complex Numbers1(25)
1. Sums and Products
1(1)
2. Algebraic Properties
... MORE(4)
3. Moduli and Conjugates
6(3)
4. Triangle Inequality
9(3)
5. Polar Coordinates and Euler's Formula
12(2)
6. Products and Quotients in Exponential Form
14(5)
7. Roots of Complex Numbers
19(4)
8. Regions in the Complex Plane
23(3)
2 Analytic Functions26(39)
9. Functions of a Complex Variable
26(2)
10. Mappings
28(5)
11. Limits
33(2)
12. Theorems on Limits
35(3)
13. Limits Involving the Point at Infinity
38(2)
14. Continuity
40(3)
15. Derivatives
43(2)
16. Differentiation Formulas
45(3)
17. Cauchy-Riemann Equations
48(2)
18. Sufficient Conditions for Differentiability
50(2)
19. Polar Coordinates
52(3)
20. Analytic Functions
55(2)
21. Reflection Principle
57(2)
22. Harmonic Functions
59(6)
3 Elementary Functions65(21)
23. The Exponential Function
65(4)
24. Trigonometric Functions
69(3)
25. Hyperbolic Functions
72(3)
26. The Logarithmic Function and Its Branches
75(3)
27. Some Identities Involving Logarithms
78(3)
28. Complex Exponents
81(2)
29. Inverse Trigonometric and Hyperbolic Functions
83(3)
4 Integrals86(52)
30. Complex-Valued Functions w(t)
86(3)
31. Contours
89(6)
32. Contour Integrals
95(2)
33. Examples
97(7)
34. Antiderivatives
104(3)
35. Examples
107(3)
36. Cauchy-Goursat Theorem
110(2)
37. Proof of the Theorem
112(4)
38. Simply and Multiply Connected Domains
116(7)
39. Cauchy Integral Formula
123(2)
40. Derivatives of Analytic Functions
125(5)
41. Liouville's Theorem and the Fundamental Theorem of Algebra
130(2)
42. Maximum Moduli of Functions
132(6)
5 Series138(42)
43. Convergence of Sequences and Series
138(5)
44. Taylor Series
143(3)
45. Examples
146(4)
46. Laurent Series
150(4)
47. Examples
154(5)
48. Absolute and Uniform Convergence of Power Series
159(5)
49. Integration and Differentiation of Power Series
164(3)
50. Uniqueness of Series Representations
167(2)
51. Multiplication and Division of Power Series
169(7)
52. Analytic Continuation
176(4)
6 Residues and Poles180(24)
53. Residues
180(3)
54. Residue Theorems
183(3)
55. The Three Types of Isolated Singular Points
186(4)
56. Residues at Poles
190(3)
57. Zeros and Poles of Order m
193(6)
58. Conditions under Which f(z) (XXX) 0
199(2)
59. Behavior of f Near Removable and Essential Singular Points
201(3)
7 Applications of Residues204(41)
60. Evaluation of Improper Integrals
204(6)
61. Improper Integrals Involving Sines and Cosines
210(7)
62. Definite Integrals Involving Sines and Cosines
217(2)
63. Indented Paths
219(5)
64. Integration along a Branch Cut
224(4)
65. Argument Principle and Rouche's Theorem
228(7)
66. Inverse Laplace Transforms
235(3)
67. Examples
238(7)
8 Mapping by Elementary Functions245(38)
68. Linear Transformations
245(2)
69. The Transformation w = 1/z
247(4)
70. Linear Fractional Transformations
251(3)
71. An Implicit Form
254(2)
72. Mappings of the Upper Half Plane
256(4)
73. Exponential and Logarithmic Transformations
260(3)
74. The Transformation w = sin z
263(5)
75. Mappings by Branches of z^(1/2)
268(3)
76. Square Roots of Polynomials
271(5)
77. Riemann Surfaces
276(3)
78. Surfaces for Related Functions
279(4)
9 Conformal Mapping283(16)
79. Preservation of Angles
283(2)
80. Further Properties
285(5)
81. Harmonic Conjugates
290(2)
82. Transformations of Harmonic Functions
292(2)
83. Transformations of Boundary Conditions
294(5)
10 Applications of Conformal Mapping299(27)
84. Steady Temperatures
299(2)
85. Steady Temperatures in a Half Plane
301(2)
86. A Related Problem
303(2)
87. Temperatures in a Quadrant
305(5)
88. Electrostatic Potential
310(1)
89. Potential in a Cylindrical Space
311(4)
90. Two-Dimensional Fluid Flow
315(2)
91. The Stream Function
317(2)
92. Flows around a Corner and around a Cylinder
319(7)
11 The Schwarz-Christoffel Transformation326(23)
93. Mapping the Real Axis onto a Polygon
326(2)
94. Schwarz-Christoffel Transformation
328(2)
95. Triangles and Rectangles
330(4)
96. Degenerate Polygons
334(5)
97. Fluid Flow in a Channel through a Slit
339(2)
98. Flow in a Channel with an Offset
341(3)
99. Electrostatic Potential about an Edge of a Conducting Plate
344(5)
12 Integral Formulas of the Poisson Type349(18)
100. Poisson Integral Formula
349(2)
101. Dirichlet Problem for a Disk
351(3)
102. Related Boundary Value Problems
354(4)
103. Schwarz Integral Formula
358(2)
104. Dirichlet Problem for a Half Plane
360(2)
105. Neumann Problem for a Disk
362(1)
106. Neumann Problem for a Half Plane
363(4)
Appendixes367(12)
1. Bibliography367(3)
2. Table of Transformations of Regions
370(9)
Index379

Related Products


  • Complex Variables and Applications
    Complex Variables and Applicat...
  • Outlines and Highlights for Complex Variables and Application by James Ward Brown, Isbn : 9780073051949
    Outlines and Highlights for Co...
  • Complex Variables and Applications
    Complex Variables and Applicat...


Please wait while this item is added to your cart...