Theory of Functions of a Complex Variable
by Andrew Russell Forsyth
Publisher: Cambridge University Press 1918
Number of pages: 892
The present treatise is an attempt to give a consecutive account of what may fairly be deemed the principal branches of the whole subject. My hope is that the book, so far as it goes, may assist mathematicians, by lessening the labour of acquiring a proper knowledge of the subject, and by indicating the main lines on which recent progress has been achieved.
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by Thomas Murray MacRobert - The Macmillan Company
This book is designed for students who, having acquired a good working knowledge of the calculus, desire to become acquainted with the theory of functions of a complex variable, and with the principal applications of that theory...
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The textbook for an introductory course in complex analysis. It covers complex numbers and functions, integration, Cauchy's theorem, harmonic functions, Taylor and Laurent series, poles and residues, argument principle, and more.
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These are the lecture notes of a one-semester undergraduate course: complex numbers, differentiation, functions, integration, Cauchy's theorem, harmonic functions, power series, Taylor and Laurent series, isolated singularities, etc.