Calculus with Complex Numbers

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Calculus with Complex Numbers
by John B. Reade

128 pages
Publisher: CRC Press; 1 edition (May 1, 2003)
Language: English
ISBN: 0415308461
Format: PDF
Archive: RAR
Size: 2.11 MB (2,216,744 bytes)
MD5: 2d3a5e5236c29aafea678a2d91fe96d7

Book Description
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.