Introduction to Functions of a Complex Variable - 9780367452063

CRC Press

This book includes information on elementary general topology, the Cauchy Integral Theorem and concepts of homology and homotopy in their application to the Cauchy theory. It is intended for an introductory course in complex analysis at the first-year graduate and advanced undergraduate level. > This book includes information on elementary general topology, the Cauchy Integral Theorem and concepts of homology and homotopy in their application to the Cauchy theory. It is intended for an introductory course in complex analysis at the first-year graduate and advanced undergraduate level. > 1. The Real and Complex Number Fields 2. Sequences and Series 3. Sequences and Series of Complex-Valued Functions 4. Introduction to Power Series 5. Some Elementary Topological Concepts 6. Complex Differential Calculus 7. The Exponential and Related Functions 8. Complex Line Integrals 9. Introduction to the Cauchy Theory 10. Zeros and Isolated Singularities of Analytic Functions 11. Residues andg