Theory & Problems of Complex Variables

Master complex variables with Schaum's'the high-performance study guide. It will help you cut study time, hone problem-solving skills, and achieve your personal best on exams! Students love Schaum's Outlines because they produce results. Each year, hundreds of thousands of students improve their test scores and final grades with these indispensable study guides. Get the edge on your classmates. Use Schaum's! If you don't have a lot of time but want to excel in class, this book helps you: Brush up before tests; Find answers fast; Study quickly and more effectively; Get the big picture without spending hours poring over lengthy textbooks. Schaum's Outlines give you the information your teachers expect you to know in a handy and succinct format'without overwhelming you with unnecessary details. You get a complete overview of the subject. Plus, you get plenty of practice exercises to test your skill. Compatible with any classroom text, Schaum's let you study at your own pace and remind you of all the important facts you need to remember'fast! And Schaum's are so complete, they're perfect for preparing for graduate or professional exams. Inside, you will find: 640 problems, including step-by-step solutions; Hundreds of additional practice problems, with answers supplied; Clear explanations of complex variable theory; Understandable coverage of applications of complex variables in engineering, physics, and elsewhere, with accompanying sample problems and solutions. If you want top grades and thorough understanding of complex variables, this powerful study tool is the best tutor you can have! Chapters include: Complex Numbers. Functions, Limits, and Continuity. Limits and Continuity. Complex Differentiation and the Cauchy-Riemann Equations. Complex Integration and Cauchy's Theorem. Cauchy's Integral Formulas and Related Theorems. Infinite Series. Taylor's and Laurent's Series. The Residue Theorem. Evaluation of Integrals and Series. Conformal Mapping. Physical Applications of Conformal Mapping. Special Topics