John B. Reade - Calculus With Complex Numbers

Reviews
"Reade's short work is clearly and succinctly written. … The book is attractive, error-free, and well written … Highly recommended." CHOICE

"Liebeck's book, A Concise Introduction to Pure Mathematics, is one of the best I have seen…a gentle but fascinating introduction into the culture of mathematics… " - From the Foreword by Robert Guralnick, University of Southern California, Los Angeles

Book Description
This practical course in complex calculus explains the applications, without requiring the rigor of a real analysis background. The author explores algebraic and geometric aspects of complex numbers, differentiation, contour integration, finite and infinite real integrals, summation of series and the fundamental theorem of algebra. The Residue Theorem for evaluating complex integrals is presented in a straightforward way, laying the groundwork for further study. A working knowledge of real calculus and familiarity with complex numbers is assumed. This book is useful for graduate students in calculus and undergraduate students of applied mathematics, physical sciences and engineering.