Complex Analysis
by George Cain
2001
Description:
This textbook is written for an introductory undergraduate course in complex analysis. From the table of contents: Complex Numbers; Complex Functions; Elementary Functions; Integration; Cauchy's Theorem; Harmonic Functions; Series; Taylor and Laurent Series; Poles and Residues; Argument Principle.
Download or read it online for free here:
Download link
(multiple PDF files)
Similar books
Lectures on The Theory of Functions of Several Complex Variablesby B. Malgrange - Tata Institute of Fundamental Research
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; etc.
(11058 views)
Functions Of A Complex Variable with Applicationsby 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 ...
(8255 views)
Complex Analysis on Riemann Surfacesby Curtis McMullen - Harvard University
Contents: Maps between Riemann surfaces; Sheaves and analytic continuation; Algebraic functions; Holomorphic and harmonic forms; Cohomology of sheaves; Cohomology on a Riemann surface; Riemann-Roch; Serre duality; Maps to projective space; etc.
(14074 views)
Lectures on Modular Functions of One Complex Variableby H. Maass - Tata institute of Fundamental Research
This is an elementary introduction to the theory of modular functions and modular forms. Basic facts from the theory of functions of a complex variable and some properties of the elementary transcendental functions are the only prerequisites.
(9494 views)