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Complex Analysis by Christian Berg
This note covers the following topics: Holomorphic functions, Contour integrals and primitives, The theorems of Cauchy, Applications of Cauchy’s integral formula, Argument. Logarithm, Powers, Zeros and isolated singularities, The calculus of residues, The maximum modulus principle, Mobius transformations.
Author(s): Christian Berg
192 Pages 
This note covers the following topics: Compactness and Convergence, Sine Function, Mittag Leffler Theorem, Spherical Representation and Uniform Convergence.
Author(s): Dr. Bijumon R, University of Calicut
439 Pages
Introduction to Complex Analysis by George Voutsadakis
This note explains the following topics: Complex Numbers and Their Properties, Complex Plane, Polar Form of Complex Numbers, Powers and Roots, Sets of Points in the Complex Plane and Applications.
Author(s): George Voutsadakis,Lake Superior State University
67 Pages
This book explains the following topics: Introduction to Complex Number System, Sequences of Complex Numbers, Series of Complex Number, Differentiability, Complex Logarithm, Analytic Functions, Complex Integration, Cauchy Theorem, Theorems in Complex Analysis, Maximum and Minimum Modulus principle, Singularities, Residue Calculus and Meromorphic Functions, Mobius Transformation.
Author(s): Institute of Distance and Open Learning, University of Mumbai
294 Pages
Complex Analysis Lecture notes by Nikolai Dokuchaev
The contents of this book include: Complex numbers, Elements of analysis, Complex integration: path integrals,Laurent series, Winding numbers, Transforms for representation of processes in frequency domain.
Author(s): Nikolai Dokuchaev, Trent University
58 Pages
Introduction to Complex Analysis by Michael Taylor
In this note the student will learn that all the basic functions that arise in calculus, first derived as functions of a real variable, such as powers and fractional powers, exponentials and logs, trigonometric functions and their inverses, and also many new functions that the student will meet, are naturally defined for complex arguments.
Author(s): Michael Taylor
478 Pages
Complex Analysis by Christer Bennewitz
This note explains the following topics: Complex functions, Analytic functions, Integration, Singularities, Harmonic functions, Entire functions, The Riemann mapping theorem and The Gamma function.
Author(s): Christer Bennewitz
116 Pages
Basic Complex Analysis Of One Variable
This note covers the following topics: Basic Properties of Complex Numbers, Complex Differentiability, Conformality, Contour Integration, Zeros and Poles, Application to Evaluation of Definite Real Integrals, Local And Global Properties, Convergence in Function Theory, Dirichlet’s Problem, Periodic Functions.
Author(s): Anant R. Shastri
428 Pages
Complex Variables A Physical Approach
This text will illustrate and teach all facets of the subject in a lively manner that will speak to the needs of modern students. It will give them a powerful toolkit for future work in the mathematical sciences, and will also point to new directions for additional learning. Topics covered includes: The Relationship of Holomorphic and Harmonic Functions, The Cauchy Theory, Applications of the Cauchy Theory, Isolated Singularities and Laurent Series, The Argument Principle, The Geometric Theory of Holomorphic Functions, Applications That Depend on Conformal Mapping, Transform Theory.
Author(s): Steven G. Krantz
437 Pages
The note deals with the Basic ideas of functions of one complex variable. Topics covered includes: Number system , Algebra of Complex Numbers, Inequalities and complex exponents, Functions of a Complex Variable, Sequences and Series, Complex Integration, Consequences of complex integration, Residue calculus, Conformal Mapping, Mapping of Elementary transformation, Applications of conformal mapping, Further theory of analytic functions.
Author(s): Dr. A. Swaminathan and Dr. V. K. Katiyar
NA Pages
Functions of a complex variable
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.Numerous examples have been given throughout the book, and there is also a set of Miscellaneous Examples, arranged to correspond with the order of the text.
Author(s): Thomas M. MacRobert
328 Pages
This is a textbook for an introductory course in complex analysis. This book covers the following topics: Complex Numbers, Complex Functions, Elementary Functions, Integration, Cauchy's Theorem, Harmonic Functions, Series, Taylor and Laurent Series, Poles, Residues and Argument Principle.
Author(s): George Cain
NA Pages
Complex Analysis Douglas N. Arnold
This book covers the following topics: The Complex Number System, Elementary Properties and Examples of Analytic FNS, Complex Integration and Applications to Analytic FNS, Singularities of Analytic Functions and Harmonic Functions.
Author(s): Douglas N. Arnold
39 Pages
Lecture Notes for Complex Analysis PDF
This book covers the following topics: Field of Complex Numbers, Analytic Functions, The Complex Exponential, The Cauchy-Riemann Theorem, Cauchy’s Integral Formula, Power Series, Laurent’s Series and Isolated Singularities, Laplace Transforms, Prime Number Theorem, Convolution, Operational Calculus and Generalized Functions.
Author(s): Frank Neubrander
32 Pages
Complex Analysis on Riemann Surfaces
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Author(s): NA
NA Pages
Introduction to Complex Analysis by Hilary Priestly
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Author(s): NA
NA Pages
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA PagesAdvertisement
