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 K. Chandrasekharan - Tata Institute of Fundamental Research
These notes provide an intorduction to the theory of the Riemann Zeta-function for students who might later want to do research on the subject. The Prime Number Theorem, Hardy's theorem, and Hamburger's theorem are the principal results proved here.
by Michael Schneider, Yum-Tong Siu - Cambridge University Press
Several Complex Variables is a central area of mathematics with interactions with partial differential equations, algebraic geometry and differential geometry. This text emphasizes these interactions and concentrates on problems of current interest.
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 Thomas S. Fiske - John Wiley & sons
This book is a brief introductory account of some of the more fundamental portions of the theory of functions of a complex variable. It will give the uninitiated some idea of the nature of one of the most important branches of modem mathematics.