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Advances in Real and Complex Analysis with Applications

2017-10-03 Mathematics
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Release : 2017-10-03
Genre : Mathematics
Kind : eBook
Book Rating : 37X/5 ( reviews)

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Book Synopsis Advances in Real and Complex Analysis with Applications by : Michael Ruzhansky

Download or read book Advances in Real and Complex Analysis with Applications written by Michael Ruzhansky. This book was released on 2017-10-03. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Real and Complex Clifford Analysis

2006-03-16 Mathematics
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Release : 2006-03-16
Genre : Mathematics
Kind : eBook
Book Rating : 367/5 ( reviews)

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Book Synopsis Real and Complex Clifford Analysis by : Sha Huang

Download or read book Real and Complex Clifford Analysis written by Sha Huang. This book was released on 2006-03-16. Available in PDF, EPUB and Kindle. Book excerpt: Clifford analysis, a branch of mathematics that has been developed since about 1970, has important theoretical value and several applications. In this book, the authors introduce many properties of regular functions and generalized regular functions in real Clifford analysis, as well as harmonic functions in complex Clifford analysis. It covers important developments in handling the incommutativity of multiplication in Clifford algebra, the definitions and computations of high-order singular integrals, boundary value problems, and so on. In addition, the book considers harmonic analysis and boundary value problems in four kinds of characteristic fields proposed by Luogeng Hua for complex analysis of several variables. The great majority of the contents originate in the authors’ investigations, and this new monograph will be interesting for researchers studying the theory of functions.

Advances in Complex Analysis and Applications

2020-11-04 Computers
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Release : 2020-11-04
Genre : Computers
Kind : eBook
Book Rating : 600/5 ( reviews)

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Book Synopsis Advances in Complex Analysis and Applications by : Francisco Bulnes

Download or read book Advances in Complex Analysis and Applications written by Francisco Bulnes. This book was released on 2020-11-04. Available in PDF, EPUB and Kindle. Book excerpt: The complex analysis, also known as theory of analytic functions or complex variable function theory, is the part of mathematical analysis that investigates the functions of complex numbers, their analyticity, holomorphicity, and integration of these functions on complex domains that can be complex manifolds or submanifolds. Also the extensions of these domains to the complex projective spaces and complex topological groups are study themes. The analytic continuing of complex domains where complex series representations are used and the exploring of singularities whose integration invariants obtain values as zeros of certain polynomials of the complex rings of certain vector bundles are important in the exploring of new function classes in the meromorphic context and also arithmetic context. Also important are established correspondences with complex vector spaces, or even in their real parts, using several techniques of complex geometrical analysis, Nevanlinna methods, and other techniques as the modular forms. All this is just some examples of great abundance of the problems in mathematics research that require the complex analysis application. This book covers some interesting and original research of certain topics of complex analysis. Also included are some applications for inverse and ill posed problems developed in engineering and applied research.

Complex Analysis with Applications

1984-01-01 Mathematics
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Release : 1984-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 623/5 ( reviews)

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Book Synopsis Complex Analysis with Applications by : Richard A. Silverman

Download or read book Complex Analysis with Applications written by Richard A. Silverman. This book was released on 1984-01-01. Available in PDF, EPUB and Kindle. Book excerpt: The basics of what every scientist and engineer should know, from complex numbers, limits in the complex plane, and complex functions to Cauchy's theory, power series, and applications of residues. 1974 edition.

Applied Complex Variables

2012-05-07 Mathematics
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Release : 2012-05-07
Genre : Mathematics
Kind : eBook
Book Rating : 284/5 ( reviews)

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Book Synopsis Applied Complex Variables by : John W. Dettman

Download or read book Applied Complex Variables written by John W. Dettman. This book was released on 2012-05-07. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of analytic function theory — plus lucid exposition of 5 important applications: potential theory, ordinary differential equations, Fourier transforms, Laplace transforms, and asymptotic expansions. Includes 66 figures.

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