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Mathematics
Complex Analysis


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Featured Titles in Mathematics - Complex Analysis
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Basic Complex Analysis
Basic Complex Analysis
by Jerrold E Marsden
Publisher Comments
Basic Complex Analysis skillfully combines a clear exposition of core theory with a rich variety of applications.  Designed for undergraduates in mathematics, the physical sciences, and engineering who have completed two years of calculus and are... (read more)

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Complex Variables 2ND Edition
Complex Variables 2ND Edition
by Stephen Fisher
Publisher Comments
Topics include the complex plane, basic properties of analytic functions, analytic functions as mappings, analytic and harmonic functions in applications, transform methods. Hundreds of solved examples, exercises, applications. 1990 edition. Appendices.... (read more)

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Problems and Solutions for Complex Analysis
Problems and Solutions for Complex Analysis
by Rami Shakarchi
Publisher Comments
All the exercises plus their solutions for Serge Lang's fourth edition of "Complex Analysis," ISBN 0-387-98592-1. The problems in the first 8 chapters are suitable for an introductory course at undergraduate level and cover power series, Cauchy's theorem,... (read more)

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Complex Function Theory 2ND Edition
Complex Function Theory 2ND Edition
by Donald Sarason
Book News Annotation
A textbook for a one-semester graduate or undergraduate introductory course in the theory of functions of a complex variable for students of mathematics and related sciences. The goal is to provide a foundation for further study. Students are assumed... (read more)

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Complex Spaces in Finsler, Lagrange and Hamilton Geometries
Complex Spaces in Finsler, Lagrange and Hamilton Geometries
by Gheorghe Munteanu
Publisher Comments
This book presents the most recent advances in complex Finsler geometry and related geometries: the geometry of complex Lagrange, Hamilton and Cartan Spaces. The last three spaces were initially introduced to and have been investigated by the author of... (read more)

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Cime Summer Schools #62: Complex Analysis: Lectures Given at the Centro Internazionale Matematico Estivo (C.I.M.E.) Held in Bressanone (Bolzano), Italy, June 3-1
Cime Summer Schools #62: Complex Analysis: Lectures Given at the Centro Internazionale Matematico Estivo (C.I.M.E.) Held in Bressanone (Bolzano), Italy, June 3-1
by F Gherardelli
Publisher Comments
A. Andreotti: Nine lectures on complex analysis.- J.J. Kohn: Propagations of singularities for the Cauchy-Riemann equations.- Yum-Tong Siu: The mixed case of the direct image theorem and its applications.... (read more)

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Complex Analysis & Geometry
Complex Analysis & Geometry
by Vincenzo Ancona
Publisher Comments
The papers in this wide-ranging collection report on the results of investigations from a number of linked disciplines, including complex algebraic geometry, complex analytic geometry of manifolds and spaces, and complex differential geometry.... (read more)

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Several Complex Variables and Banach Algebras
Several Complex Variables and Banach Algebras
by Herbert Alexander
Publisher Comments
Many connections have been found between the theory of analytic functions of one or more complex variables and the study of commutative Banach algebras. While function theory has often been employed to answer algebraic questions such as the existence of... (read more)

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Applied Complex Variables for Scientists and Engineers
Applied Complex Variables for Scientists and Engineers
by Yue Kuen Kwok
Publisher Comments
This introduction to complex variable methods begins by carefully defining complex numbers and analytic functions, and proceeds to give accounts of complex integration, Taylor series, singularities, residues and mappings. Both algebraic and geometric... (read more)

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Complex Analysis: The Geometric Viewpoint
Complex Analysis: The Geometric Viewpoint
by Steven G. Krantz
Publisher Comments
Geometric methods have been used in complex analysis since the 1930s. Since that time they have become a central part of the research activities of complex analysis. However, these important techniques have never found their way into a text accessible to... (read more)

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Complex Analysis and CR Geometry
Complex Analysis and CR Geometry
by Giuseppe Zampieri
Publisher Comments
Cauchy-Riemann (CR) geometry studies manifolds equipped with a system of CR-type equations. This study has become dynamic in differential geometry and in non-linear differential equations, but many find it challenging, particularly considering the range... (read more)

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Complex Variables
Complex Variables
by Joseph L Taylor
Publisher Comments
Taylor (mathematics, U. of Utah) offers a textbook based on lecture notes from years of teaching a junior undergraduate one-semester course on complex variables. Students should have completed three semesters of calculus, had some linear algebra, and... (read more)

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Cime Summer Schools #49: Potential Theory: Lectures Given at the Centro Internazionale Matematico Estivo (C.I.M.E.) Held in Stresa (Varese), Italy, July 2-11, 19
Cime Summer Schools #49: Potential Theory: Lectures Given at the Centro Internazionale Matematico Estivo (C.I.M.E.) Held in Stresa (Varese), Italy, July 2-11, 19
by M Brelot
Publisher Comments
M. Brelot: Historical introduction.- H. Bauer: Harmonic spaces and associated Markov processes.- J.M. Bony: Opérateurs elliptiques dégénérés associés aux axiomatiques de la theorie du potentiel.- J. Deny: Méthodes hilbertiennes en theory du... (read more)

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Complex Variables: Introduction and Applications (Cambridge Texts in Applied Mathematics)
Complex Variables: Introduction and Applications (Cambridge Texts in Applied Mathematics)
by Mark J Ablowitz
Publisher Comments
Ideal for use in undergraduate and introductory graduate level courses in complex variables.... (read more)

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Holomorphic Q Classes
Holomorphic Q Classes
by Jie Xiao
Publisher Comments
The space Q p consists of all holomorphic functions f on the unit disk for which the L^2 area integrals of its derivative against the p-th power of the Green function of the unit disk are uniformly bounded in the variable that survives the integration... (read more)

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North-Holland Mathematical Library #7: An Introduction to Complex Analysis in Several Variables Revised Edition
North-Holland Mathematical Library #7: An Introduction to Complex Analysis in Several Variables Revised Edition
by Lars Hormander
Publisher Comments
A number of monographs of various aspects of complex analysis in several variables have appeared since the first version of this book was published, but none of them uses the analytic techniques based on the solution of the Neumann Problem as the main... (read more)

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Symmetries in Complex Analysis: Workshop on Several Complex Variables, Analysis on Complex Lie Groups, and Homogeneous Spaces, October 17-29, 2005, Zhejiang University, Hangzhou, P.R. China
Symmetries in Complex Analysis: Workshop on Several Complex Variables, Analysis on Complex Lie Groups, and Homogeneous Spaces, October 17-29, 2005, Zhejiang University, Hangzhou, P.R. China
by Bruce Gilligan
Publisher Comments
"The theme of this volume concerns interactions between group actions and problems in complex analysis." "The first four articles deal with such topics as representation kernels in representation theory, complex automorphisms and holomorphic equivalence... (read more)

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Functions of a Complex Variable
Functions of a Complex Variable
by James Pierpont
Publisher Comments
A thorough treatment of the fundamental elements, concepts, and theorems pertaining to the function of a complex variable, this text offers a complete study, suitable for advanced mathematics students, physicists, and advanced engineers. Rigorous and... (read more)

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The Hardy Space of a Slit Domain (Frontiers in Mathematics)
The Hardy Space of a Slit Domain (Frontiers in Mathematics)
by A Aleman
Publisher Comments
The book begins with an exposition of Hardy spaces of slit domains and then proceeds to several descriptions of the invariant subspaces of the operator multiplication by z. Along the way, we discuss and characterize the nearly invariant subspaces of... (read more)

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Complex Analysis & Dynamical Systems III
Complex Analysis & Dynamical Systems III
by Mark Agranovsky
Publisher Comments
These proceedings of the January 2006 conference include 31 papers covering a wide range of topics in the geometric theory of functions of one and several complex variables, including univalent functions, conformal and quasi-conformal mappings, minimal... (read more)

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