Calculus with Complex Numbers

John B. Reade

96 pages, parution le 18/03/2003

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Résumé

This text is a practical course in complex calculus with an emphasis on the applications rather than the theory. It is not intended to replace existing texts on complex calculus, but rather to complement them by acting as preparation for and motivation towards further study of complex calculus at a more formal level.

Topics covered include algebraic and geometric aspects of complex numbers, differentiation, contour integration, evaluation of finite and infinite real integrals, summation of series and a proof of the fundamental theorem of algebra. The material is presented in such a way that those wishing to study the subject at a deeper level will not need to unlearn anything they have learnt here.

Prerequisites are a working knowledge of real calculus and an acquaintance with complex numbers. The book should be accessible to any student who has studied calculus at upper-school level and should be of interest to university students of applied mathematics, physical sciences and engineering.

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

L'auteur - John B. Reade

Reade John B. received his PhD from Cambridge University in 1965. He is a lecturer in mathematics at Manchester University. UK. His research interests lie in integral equations, in particular the asymptotic behaviour of their eigenvalues.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Taylor and Francis Books
Auteur(s)	John B. Reade
Parution	18/03/2003
Nb. de pages	96
Format	15,5 x 23,5
Couverture	Broché
Poids	178g
Intérieur	Noir et Blanc
EAN13	9780415308472
ISBN13	978-0-415-30847-2