Functions of a Complex Variable
by Thomas Murray MacRobert
Publisher: The Macmillan Company 1917
Number of pages: 328
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. In order to avoid making the subject too difficult for beginners, I have abstained from the use of strictly arithmetical methods, and have, while endeavouring to make the proofs sufficiently rigorous, based them mainly on geometrical conceptions.
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by M. Beck, G. Marchesi, D. Pixton - San Francisco State University
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.
by K. Ramachandra - Tata Institute of Fundamental Research
This short book is a text on the mean-value and omega theorems for the Riemann Zeta-function. The author includes discussion of some fundamental theorems on Titchmarsh series and applications, and Titchmarsh's Phenomenon.
by Christian Berg - Kobenhavns Universitet
Contents: Holomorphic functions; Contour integrals and primitives; The theorems of Cauchy; Applications of Cauchy's integral formula; Zeros and isolated singularities; The calculus of residues; The maximum modulus principle; Moebius transformations.
by James McMahon - John Wiley & Sons
College students who wish to know something of the hyperbolic trigonometry, will find it presented in a simple and comprehensive way in the first half of the work. Readers are then introduced to the more general trigonometry of the complex plane.