Lectures on The Theory of Functions of Several Complex Variables
by B. Malgrange
Publisher: Tata Institute of Fundamental Research 1958
Number of pages: 138
Contents: Cauchy's formula and elementary consequences; Reinhardt domains and circular domains; Complex analytic manifolds; Analytic Continuation; Envelopes of Holomorphy; Domains of Holomorphy - Convexity Theory; d''-cohomology on the cube; Holomorphic Regular Matrices; Complementary Results; Coherent Analytic Sheaves.
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by Piotr Jakobczak, Marek Jarnicki - Jagiellonian University
The text contains the background theory of several complex variables. We discuss the extension of holomorphic functions, automorphisms, domains of holomorphy, pseudoconvexity, etc. Prerequisites are real analysis and complex analysis of one variable.
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 John H. Mathews, Russell W. Howell - Jones & Bartlett Learning
This book presents a comprehensive, student-friendly introduction to Complex Analysis concepts. Its clear, concise writing style and numerous applications make the foundations of the subject matter easily accessible to students.
by E. G. Phillips - Oliver And Boyd
This book is concerned essentially with the application of the methods of the differential and integral calculus to complex numbers. Limitations of space made it necessary for me to confine myself to the more essential aspects of the theory ...