Calculus with Complex Numbers

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.

List 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.

About the author

John B. Reade

Summary

This text is a practical course in complex calculus that covers the applications, but does not assume the full rigour of a real analysis background. Topics covered include algebraic and geometric aspects of complex numbers, differentiation, contour

Product details

• Authors: John B. Reade, Reade John B.
• Publisher: Taylor and Francis
• Languages: English
• Product format: Hardback
• Released: 13.03.2003
• EAN: 9780415308465
• ISBN: 978-0-415-30846-5
• No. of pages: 108
• Dimensions: 152 mm x 229 mm x 13 mm
• Weight: 294 g
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > General, dictionaries; MATHEMATICS / General, MATHEMATICS / Applied, Mathematics, Technology, Engineering, Agriculture, Technology, Engineering, Agriculture, Industrial processes