Fundamentals and Applications of Complex Analysis
- ISBN-10
- 0306477483
- ISBN-13
- 9780306477485
- Category
- Mathematics
- Pages
- 442
- Language
- English
- Published
- 2003-07-31
- Publisher
- Springer Science & Business Media
- Author
- Harold Cohen
Description
This book is intended to serve as a text for first and second year courses in single variable complex analysis. The material that is appropriate for more advanced study is developed from elementary material. The concepts are illustrated with large numbers of examples, many of which involve problems students encounter in other courses. For example, students who have taken an introductory physics course will have encountered analysis of simple AC circuits. This text revisits such analysis using complex numbers. Cauchy's residue theorem is used to evaluate many types of definite integrals that students are introduced to in the beginning calculus sequence. Methods of conformal mapping are used to solve problems in electrostatics. The book contains material that is not considered in other popular complex analysis texts.
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