advances in real and complex analysis with applications

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Advances In Real And Complex Analysis With Applications

Author : Michael Ruzhansky
ISBN : 9789811043376
Genre : Mathematics
File Size : 74. 27 MB
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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.

Advances In Complex Analysis And Operator Theory

Author : Fabrizio Colombo
ISBN : 9783319623627
Genre : Mathematics
File Size : 68. 30 MB
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This book gathers contributions written by Daniel Alpay’s friends and collaborators. Several of the papers were presented at the International Conference on Complex Analysis and Operator Theory held in honor of Professor Alpay’s 60th birthday at Chapman University in November 2016. The main topics covered are complex analysis, operator theory and other areas of mathematics close to Alpay’s primary research interests. The book is recommended for mathematicians from the graduate level on, working in various areas of mathematical analysis, operator theory, infinite dimensional analysis, linear systems, and stochastic processes.

Recent Advances In Orthogonal Polynomials Special Functions And Their Applications

Author : Jorge Arvesœ
ISBN : 9780821868966
Genre : Mathematics
File Size : 59. 26 MB
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This volume contains the proceedings of the 11th International Symposium on Orthogonal Polynomials, Special Functions, and their Applications, held August 29-September 2, 2011, at the Universidad Carlos III de Madrid in Leganes, Spain. The papers cover asymptotic properties of polynomials on curves of the complex plane, universality behavior of sequences of orthogonal polynomials for large classes of measures and its application in random matrix theory, the Riemann-Hilbert approach in the study of Pade approximation and asymptotics of orthogonal polynomials, quantum walks and CMV matrices, spectral modifications of linear functionals and their effect on the associated orthogonal polynomials, bivariate orthogonal polynomials, and optimal Riesz and logarithmic energy distribution of points. The methods used include potential theory, boundary values of analytic functions, Riemann-Hilbert analysis, and the steepest descent method.

Advances In Information Systems Science

Author : Julius T. Tou
ISBN : 9781461582465
Genre : Juvenile Nonfiction
File Size : 26. 82 MB
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This volume, the fifth of a continuing series on information systems science, covers four timely topics which are in the mainstream of this field. In each chapter, an attempt is made to familiarize the reader with basic background information on the advances discussed, so that this volume may be used independently or in conjunction with the previous volumes. The emphasis in this volume is focused upon data organization and access methods, software for on-line minicomputer applications, advances in micropro graming, and gramm ars and recognizers for formal and natural languages. In Chapter 1, P. C. Patton presents a tutorial survey of data organiza tion and access methods which play a central role in information system design. Research in information processing has been shifted from numerical data processing to nonnumerical information handling. In the latter case, the information is carried not only by the data but also by the structure and organization of the data base. In this chapter, the author provides the reader with a comprehensive review of various data structures, including linear lists, array structures, tree structures, and multilinked structures. He also discusses the important problem of data-base design and management. This chapter concludes with several examples of information handling systems such as a matrix interpretive system, a generalized information management system, and a criminal justice information system. The rapid reduction in cost and great increase in capability of the mini computer have made it an attractive machine for information systems.

Recent Advances In Differential Equations

Author : H-H Dai
ISBN : 0582322197
Genre : Mathematics
File Size : 90. 8 MB
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The First Pan-China Conference on Differential Equations was held in Kunming, China in June of 1997. Researchers from around the world attended-including representatives from the US, Canada, and the Netherlands-but the majority of the speakers hailed from China and Hong Kong. This volume contains the plenary lectures and invited talks presented at that conference, and provides an excellent view of the research on differential equations being carried out in China. Most of the subjects addressed arose from actual applications and cover ordinary and partial differential equations. Topics include:

Complex Analysis And Dynamical Systems

Author : Mark Lʹvovich Agranovskiĭ
ISBN : 9780821836866
Genre : Mathematics
File Size : 47. 50 MB
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This book contains contributions from the participants of an international conference on complex analysis and dynamical systems. The papers collected here are devoted to various topics in complex analysis and dynamical systems, ranging from properties of holomorphic mappings to attractors in hyperbolic spaces. Overall, these selections provide an overview of activity in analysis at the outset of the twenty-first century. The book is suitable for graduate students and researchers in complex analysis and related problems of dynamics. With this volume, the Israel Mathematical Conference Proceedings are now published as a subseries of the ""AMS Contemporary Mathematics"" series.

Recent Advances In Operator Theory Operator Algebras And Their Applications

Author : Dumitru Gaspar
ISBN : 9783764373146
Genre : Mathematics
File Size : 85. 6 MB
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This book offers peer-reviewed articles from the 19th International Conference on Operator Theory, Summer 2002. It contains recent developments in a broad range of topics from operator theory, operator algebras and their applications, particularly to differential analysis, complex functions, ergodic theory, mathematical physics, matrix analysis, and systems theory. The book covers a large variety of topics including single operator theory, C*-algebras, diffrential operators, integral transforms, stochastic processes and operators, and more.

Real And Complex Clifford Analysis

Author : Sha Huang
ISBN : 9780387245362
Genre : Mathematics
File Size : 40. 65 MB
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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 Analysis And Geometry

Author : Tao Qian
ISBN : 3764366613
Genre : Mathematics
File Size : 23. 5 MB
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At the heart of Clifford analysis is the study of systems of special partial differential operators that arise naturally from the use of Clifford algebra as a calculus tool. This book focuses on the study of Dirac operators and related ones, together with applications in mathematics, physics and engineering. This book collects refereed papers from a satellite conference to the ICM 2002, plus invited contributions. All articles contain unpublished new results.

Linear And Complex Analysis For Applications

Author : John P. D'Angelo
ISBN : 9781498756167
Genre : Mathematics
File Size : 70. 74 MB
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Linear and Complex Analysis for Applications aims to unify various parts of mathematical analysis in an engaging manner and to provide a diverse and unusual collection of applications, both to other fields of mathematics and to physics and engineering. The book evolved from several of the author’s teaching experiences, his research in complex analysis in several variables, and many conversations with friends and colleagues. It has three primary goals: ? to develop enough linear analysis and complex variable theory to prepare students in engineering or applied mathematics for advanced work, to unify many distinct and seemingly isolated topics, to show mathematics as both interesting and useful, especially via the juxtaposition of examples and theorems. ? The book realizes these goals by beginning with reviews of Linear Algebra, Complex Numbers, and topics from Calculus III. As the topics are being reviewed, new material is inserted to help the student develop skill in both computation and theory. The material on linear algebra includes infinite-dimensional examples arising from elementary calculus and differential equations. Line and surface integrals are computed both in the language of classical vector analysis and by using differential forms. Connections among the topics and applications appear throughout the book. The text weaves abstract mathematics, routine computational problems, and applications into a coherent whole, whose unifying theme is linear systems. It includes many unusual examples and contains more than 450 exercises.

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