Calculus with Complex Numbers

This text is a practical course in complex calculus that covers the applications, but does not assume the full rigor of a real analysis background. Topics covered include algebraic and geometric aspects of complex numbers, differentiation, contour integration, evaluation of finite and infinite real integrals, summation of series and the fundamental theorem of algebra. The Residue Theorem for evaluating complex integrals is presented in such a way that those wishing to study the subject at a deeper level should not need to unlearn anything presented here. A working knowledge of real calculus is assumed as is an acquaintance with complex numbers. This will be of interest to undergraduate students of applied mathematics, physical sciences and engineering. more

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Posted: Jul-05-2006

how to do integrals in the complex plane

Reade teaches a pragmatic and short course in complex analysis. Probably aimed at a reader who is majoring in something like engineering and who does not have a rigourous background in maths. Well, you can learn the essence of doing calculus using complex numbers.It turns out that doing...

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