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Mathematics


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Mathematics
Complex Analysis


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Featured Titles in Mathematics - Complex Analysis
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Five Lectures in Complex Analysis
Five Lectures in Complex Analysis
by Manuel D Contreras
Book News Annotation
The school itself consisted of four four-hour mini-courses, a number of 55-minute invited lectures, and sessions of open problems. The material from all that has been both selected and extended to provide introductions to five significant areas of... (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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Conformal Mapping (Dover Books on Mathematics)
Conformal Mapping (Dover Books on Mathematics)
by Zeev Nehari
Publisher Comments
Combined theoretical and practical approach covers harmonic functions, analytic functions, the complex integral calculus, families of analytic functions, conformal mapping of simply-connected domains, mapping properties of special functions and conformal... (read more)

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A Second Course in Complex Analysis
A Second Course in Complex Analysis
by William Veech
Publisher Comments
A clear, self-contained treatment of important areas in complex analysis, this text is geared toward upper-level undergraduates and graduate students. The material is largely classical, with particular emphasis on the geometry of complex mappings.... (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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Bergman Spaces & Related Topics in Compl
Bergman Spaces & Related Topics in Compl
by Alexander Borichev
Book News Annotation
Work presented here details the latest work on areas such as invariant subspaces for the backward shift on Hilbert spaces, operators in weighted Bergman spaces, extensions of the asymptotic maximum principle, and singularity resolution of weighted... (read more)

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Fields Institute Communications #65: Blaschke Products and Their Applications
Fields Institute Communications #65: Blaschke Products and Their Applications
by Javad Mashreghi
Publisher Comments
Blaschke products have been researched for nearly a century. They... (read more)

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Function Theory on Planar Domains: A Second Course in Complex Analysis
Function Theory on Planar Domains: A Second Course in Complex Analysis
by Stephen D Fisher
Publisher Comments
Suitable for upper-level undergraduates and graduate students, this treatment of complex analysis focuses on function theory on a finitely connected planar domain. Clear and complete, it emphasizes domains bounded by a finite number of disjoint... (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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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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London Mathematical Society Student Texts #79: Introduction to Compact Riemann Surfaces and Dessins D Enfants
London Mathematical Society Student Texts #79: Introduction to Compact Riemann Surfaces and Dessins D Enfants
by Ernesto Girondo
Publisher Comments
Few books on the subject of Riemann surfaces cover the relatively modern theory of dessins d'enfants (children's drawings), which was launched by Grothendieck in the 1980s and is now an active field of research. In this book, the authors begin with an... (read more)

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Conformal Invariants Topics in Geometric Function Theory
Conformal Invariants Topics in Geometric Function Theory
by Lars V Ahlfors
Book News Annotation
In this reprint of his 1973 classic, Ahlfors explains conformal invariants and extremal problems, emphasizing the geometric approach as well as classical and semi-classical results that the late Finnish mathematician felt every student of complex... (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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Complex variables for scientists and engineers
Complex variables for scientists and engineers
by John D Paliouras
Book News Annotation
For a first course. Creates a foundation based on the understanding of fundamental concepts and the development of manipulative skills, then reaches far enough to prepare students for advanced applications. Annotation c. Book News, Inc., Portland, OR (... (read more)

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Developments in Mathematics #26: The Beltrami Equation: A Geometric Approach
Developments in Mathematics #26: The Beltrami Equation: A Geometric Approach
by Vladimir Gutlyanskii
Publisher Comments
This book is devoted to the Beltrami equations that play a significant role in Geometry, Analysis and Physics and, in particular, in the study of quasiconformal mappings and their generalizations, Riemann surfaces, Kleinian groups, Teichmuller spaces... (read more)

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Complex Analysis in Banach Spaces (Dover Books on Mathematics)
Complex Analysis in Banach Spaces (Dover Books on Mathematics)
by Jorge Mujica
Publisher Comments
The development of complex analysis is based on issues related to holomorphic continuation and holomorphic approximation. This volume presents a unified view of these topics in finite and infinite dimensions. In addition to its value as a text for... (read more)

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Fields Institute Monographs #31: Derivatives of Inner Functions
Fields Institute Monographs #31: Derivatives of Inner Functions
by Javad Mashreghi
Publisher Comments
​Inner functions form an important subclass of bounded analytic functions. Since they have unimodular boundary values, they appear in many extremal problems of complex analysis. They have been extensively studied since early last century, and the... (read more)

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Cime Summer Schools #13: Integrali Singolari E Questioni Connesse: Lectures Given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held in Varenna
Cime Summer Schools #13: Integrali Singolari E Questioni Connesse: Lectures Given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held in Varenna
by G Fichera
Publisher Comments
E. Magenes: Il problema della derivata obliqua regolare per le equazioni lineari ellittico-paraboliche del secondo ordine in m variabili.- G. Stampacchia: Completamenti funzionali ed applicazione alla teoria dei potenziali di dominio.- A. Zygmund: On... (read more)

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Symmetries in Complex Analysis
Symmetries in Complex Analysis
by Bruce Gilligan and Guy J. Roos
Book News Annotation
Five lectures delivered to graduate students of mathematics at the workshop have been expanded and deepened into as many articles. They are primarily concerned with interactions between group actions and problems in complex analysis. The topics... (read more)

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