Applied complex variables for scientists and engineers

"This introduction to complex variable methods begins by carefully defining complex numbers and analytic functions, and proceeds to give accounts of complex integration, Taylor series, singularities, residues and mappings. Both algebraic and geometric tools are employed to provide the greatest understanding, with many diagrams illustrating the concepts introduced. The emphasis is laid on understanding the use of methods, rather than on rigorous proofs. Throughout the text, many of the important theoretical results in complex function theory are followed by relevant and vivid examples in physical sciences. This second edition now contains 350 stimulating exercises of high quality, with solutions given to many of them. Material has been updated and additional proofs on some of the important theorems in complex function theory are now included, e.g. the Weierstrass-Casorati theorem. The book is highly suitable for students wishing to learn the elements of complex analysis in an applied context"-- "This textbook is intended to be an introduction to complex variables for mathematics, science and engineering undergraduate students. It presents the important analytical concepts and techniques in deriving most of the standard theoretical results in introductory complex function theory. This book emphasizes on how to use complex variable methods. Throughout the text, many of the important theoretical results in complex function theory are followed by relevant and vivid examples in physical sciences. These examples serve to illustrate the uses and implications of complex function theory. The materials covered in the book equip students with the analytical concepts of complex function theory together with the technical skills to apply complex variable methods to physical problems. Throughout the textbook, both algebraic and geometric tools are employed to provide the greatest understanding, with many diagrams illustrating the concepts introduced"--