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 : 34. 4 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.

Real And Complex Clifford Analysis

Author : Sha Huang
ISBN : 0387245359
Genre : Mathematics
File Size : 51. 2 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.

Complex Analysis And Its Applications

Author : C.C. Yang
ISBN : 0582231817
Genre : Mathematics
File Size : 60. 36 MB
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This volume presents a collection of contributions to an international conference on complex analysis and its applications held at the newly founded Hong Kong University of Science and Technology in January 1993. The aim of the conference was to advance the theoretical aspects of complex analysis and to explore the application of its techniques to physical and engineering problems. Three main areas were emphasised: Value distribution theory; Complex dynamical system and geometric function theory; and the Application of complex analysis to differential quations and physical engineering problems.

Advances In Complex Analysis And Operator Theory

Author : Fabrizio Colombo
ISBN : 9783319623627
Genre : Mathematics
File Size : 60. 31 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.

Advances In Information Systems Science

Author : Julius T. Tou
ISBN : 9781461582465
Genre : Juvenile Nonfiction
File Size : 27. 13 MB
Format : PDF
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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.

Linear And Complex Analysis For Applications

Author : John P. D'Angelo
ISBN : 9781498756167
Genre : Mathematics
File Size : 56. 85 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.

Recent Advances In Operator Theory Operator Algebras And Their Applications

Author : Dumitru Gaspar
ISBN : 9783764373146
Genre : Mathematics
File Size : 66. 32 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.

Complex Variables And Applications

Author : Brown
ISBN : 9780073530857
Genre :
File Size : 30. 12 MB
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Complex Valued Neural Networks

Author : Akira Hirose
ISBN : 9789812384645
Genre : Computers
File Size : 47. 35 MB
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In recent years, complex-valued neural networks have widened the scope of application in optoelectronics, imaging, remote sensing, quantum neural devices and systems, spatiotemporal analysis of physiological neural systems, and artificial neural information processing. In this first-ever book on complex-valued neural networks, the most active scientists at the forefront of the field describe theories and applications from various points of view to provide academic and industrial researchers with a comprehensive understanding of the fundamentals, features and prospects of the powerful complex-valued networks.

Real And Complex Singularities

Author : David Mond
ISBN : 020391208X
Genre : Mathematics
File Size : 38. 65 MB
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This text offers a selection of papers on singularity theory presented at the Sixth Workshop on Real and Complex Singularities held at ICMC-USP, Brazil. It should help students and specialists to understand results that illustrate the connections between singularity theory and related fields. The authors discuss irreducible plane curve singularities, openness and multitransversality, the distribution Afs and the real asymptotic spectrum, deformations of boundary singularities and non-crystallographic coxeter groups, transversal Whitney topology and singularities of Haefliger foliations, the topology of hypersurface singularities, polar multiplicities and equisingularity of map germs from C3 to C4, and topological invariants of stable maps from a surface to the plane from a global viewpoint.

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