Complex Analysis

Complex Analysis PDF Author: Eberhard Lanckau
Publisher:
ISBN:
Category : Functions of complex variables
Languages : en
Pages : 410

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Book Description

Complex Analysis

Complex Analysis PDF Author: Eberhard Lanckau
Publisher:
ISBN:
Category : Functions of complex variables
Languages : en
Pages : 410

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Book Description


Complex analysis : methods, trends, and applications

Complex analysis : methods, trends, and applications PDF Author: Mark Benevič
Publisher:
ISBN:
Category :
Languages : en
Pages : 398

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Book Description


Complex Analysis – Methods, Trends, and Applications

Complex Analysis – Methods, Trends, and Applications PDF Author: Eberhard Lanckau
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3112707753
Category : Mathematics
Languages : en
Pages : 400

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Book Description
No detailed description available for "Complex Analysis – Methods, Trends, and Applications".

Complex Analytic Methods for Partial Differential Equations

Complex Analytic Methods for Partial Differential Equations PDF Author: Heinrich G. W. Begehr
Publisher: World Scientific
ISBN: 9789810215507
Category : Mathematics
Languages : en
Pages : 288

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Book Description
This is an introductory text for beginners who have a basic knowledge of complex analysis, functional analysis and partial differential equations. Riemann and Riemann-Hilbert boundary value problems are discussed for analytic functions, for inhomogeneous Cauchy-Riemann systems as well as for generalized Beltrami systems. Related problems such as the Poincar‚ problem, pseudoparabolic systems and complex elliptic second order equations are also considered. Estimates for solutions to linear equations existence and uniqueness results are thus available for related nonlinear problems; the method is explained by constructing entire solutions to nonlinear Beltrami equations. Often problems are discussed just for the unit disc but more general domains, even of multiply connectivity, are involved.

Complex Analysis with Applications in Science and Engineering

Complex Analysis with Applications in Science and Engineering PDF Author: Harold Cohen
Publisher: Springer Science & Business Media
ISBN: 0387730583
Category : Mathematics
Languages : en
Pages : 487

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Book Description
The Second Edition of this acclaimed text helps you apply theory to real-world applications in mathematics, physics, and engineering. It easily guides you through complex analysis with its excellent coverage of topics such as series, residues, and the evaluation of integrals; multi-valued functions; conformal mapping; dispersion relations; and analytic continuation. Worked examples plus a large number of assigned problems help you understand how to apply complex concepts and build your own skills by putting them into practice. This edition features many new problems, revised sections, and an entirely new chapter on analytic continuation.

Functional-analytic and Complex Methods, Their Interactions, and Applications to Partial Differential Equations

Functional-analytic and Complex Methods, Their Interactions, and Applications to Partial Differential Equations PDF Author: Helmut Florian
Publisher: World Scientific
ISBN: 9810247648
Category : Mathematics
Languages : en
Pages : 473

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Book Description
Functional analysis is not only a tool for unifying mathematical analysis, but it also provides the background for today's rapid development of the theory of partial differential equations. Using concepts of functional analysis, the field of complex analysis has developed methods (such as the theory of generalized analytic functions) for solving very general classes of partial differential equations.This book is aimed at promoting further interactions of functional analysis, partial differential equations, and complex analysis including its generalizations such as Clifford analysis. New interesting problems in the field of partial differential equations concern, for instance, the Dirichlet problem for hyperbolic equations. Applications to mathematical physics address mainly Maxwell's equations, crystal optics, dynamical problems for cusped bars, and conservation laws.

Functional-analytic And Complex Methods, Their Interactions, And Applications To Partial Differential Equations - Proceedings Of The International Graz Workshop

Functional-analytic And Complex Methods, Their Interactions, And Applications To Partial Differential Equations - Proceedings Of The International Graz Workshop PDF Author: Helmut Florian
Publisher: World Scientific
ISBN: 9814490008
Category : Mathematics
Languages : en
Pages : 473

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Book Description
Functional analysis is not only a tool for unifying mathematical analysis, but it also provides the background for today's rapid development of the theory of partial differential equations. Using concepts of functional analysis, the field of complex analysis has developed methods (such as the theory of generalized analytic functions) for solving very general classes of partial differential equations.This book is aimed at promoting further interactions of functional analysis, partial differential equations, and complex analysis including its generalizations such as Clifford analysis. New interesting problems in the field of partial differential equations concern, for instance, the Dirichlet problem for hyperbolic equations. Applications to mathematical physics address mainly Maxwell's equations, crystal optics, dynamical problems for cusped bars, and conservation laws. remove /a remove

Advances in Real and Complex Analysis with Applications

Advances in Real and Complex Analysis with Applications PDF Author: Michael Ruzhansky
Publisher: Birkhäuser
ISBN: 981104337X
Category : Mathematics
Languages : en
Pages : 304

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Book Description
This book discusses a variety of topics in mathematics and engineering as well as their applications, clearly explaining the mathematical concepts in the simplest possible way and illustrating them with a number of solved examples. The topics include real and complex analysis, special functions and analytic number theory, q-series, Ramanujan’s mathematics, fractional calculus, Clifford and harmonic analysis, graph theory, complex analysis, complex dynamical systems, complex function spaces and operator theory, geometric analysis of complex manifolds, geometric function theory, Riemannian surfaces, Teichmüller spaces and Kleinian groups, engineering applications of complex analytic methods, nonlinear analysis, inequality theory, potential theory, partial differential equations, numerical analysis , fixed-point theory, variational inequality, equilibrium problems, optimization problems, stability of functional equations, and mathematical physics. It includes papers presented at the 24th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications (24ICFIDCAA), held at the Anand International College of Engineering, Jaipur, 22–26 August 2016. The book is a valuable resource for researchers in real and complex analysis.

Current Trends in Mathematical Analysis and Its Interdisciplinary Applications

Current Trends in Mathematical Analysis and Its Interdisciplinary Applications PDF Author: Hemen Dutta
Publisher: Springer Nature
ISBN: 3030152421
Category : Mathematics
Languages : en
Pages : 912

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Book Description
This book explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. Each of the 23 carefully reviewed chapters was written by experienced expert(s) in respective field, and will enrich readers’ understanding of the respective research problems, providing them with sufficient background to understand the theories, methods and applications discussed. The book’s main goal is to highlight the latest trends and advances, equipping interested readers to pursue further research of their own. Given its scope, the book will especially benefit graduate and PhD students, researchers in the applied sciences, educators, and engineers with an interest in recent developments in the interdisciplinary applications of mathematical analysis.

Complex Analysis And Applications - Proceedings Of The 13th International Conference On Finite Or Infinite Dimensional Complex Analysis And Applications

Complex Analysis And Applications - Proceedings Of The 13th International Conference On Finite Or Infinite Dimensional Complex Analysis And Applications PDF Author: Hasi Wulan
Publisher: World Scientific
ISBN: 9814477540
Category : Mathematics
Languages : en
Pages : 349

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Book Description
This valuable collection of articles presents the latest methods and results in complex analysis and its applications. The present trends in complex analysis reflected in the book are concentrated in the following research directions: Clifford analysis, complex dynamical systems, complex function spaces, complex numerical analysis, qusiconformal mapping, Riemann surfaces, Teichmüller theory and Klainian groups, several complex variables, and value distribution theory.