Schaum Complex Variables with an introduction to CONFORMAL MAPPING and its applications
"This book is designed for use as a supplement to all current standards texts or as a textbook for a formal course in complex variable theory and applications. It should also be of considerable value to those taking courses in mathematics, physics, aerodynamics, elasticity, and many other fields of science and engineering.”
“Each chapter begins with a clear statement of pertinent definitions, principles and theorems together with illustrative and other descriptive material. This is followed by graded sets of solved and supplementary problems.Numerous proofs of theorems and derivations of formulas are included among the solved problems. The large number of supplementary problems with answers serve as complete review of the material of each chapter.”
- CHAPTER 1 COMPLEX NUMBERS
- CHAPTER 2 FUNCTIONS, LIMITS, AND CONTINUITY
- CHAPTER 3 COMPLEX DIFFERENTIATION AND THE CAUCHY–RIEMANN EQUATIONS
- CHAPTER 4 COMPLEX INTEGRATION AND CAUCHY’S THEOREM
- CHAPTER 5 CAUCHY’S INTEGRAL FORMULAS AND RELATED THEOREMS
- CHAPTER 6 INFINITE SERIES TAYLOR’S AND LAURENT’S SERIES
- CHAPTER 7 THERESIDUE THEOREM EVALUATION OF INTEGRALS AND SERIES
- CHAPTER 8 CONFORMAL MAPPING
- CHAPTER 9 PHYSICAL APPLICATIONS OF CONFORMAL MAPPING
- CHAPTER 10 SPECIAL TOPICS
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