Calculus with Complex Numbers: 1st Edition (Paperback) book cover

Calculus with Complex Numbers

1st Edition

By John B. Reade

CRC Press

112 pages

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pub: 2003-03-13
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Description

This practical treatment explains the applications complex calculus 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 science, and engineering.

Table of Contents

Complex Numbers. Complex Functions. Derivatives. Integrals. Evaluation of Finite Real Integrals. Evaluation of Infinite Real Integrals. Summation of Series. Fundamental Theorem of Algebra Solutions to Examples. Appendices. Index of Symbols. General Index. Bibliography.

Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT003000
MATHEMATICS / Applied