Advances In Complex Analysis And Applications
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Advances In Complex Analysis And Applications
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Author : Francisco Bulnes
language : en
Publisher:
Release Date :
Advances In Complex Analysis And Applications written by Francisco Bulnes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Advances In Complex Analysis And Applications
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Author : Francisco Bulnes
language : en
Publisher: BoD – Books on Demand
Release Date : 2020-11-04
Advances In Complex Analysis And Applications written by Francisco Bulnes and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-04 with Computers categories.
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.
Advances In Real And Complex Analysis With Applications
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Author : Michael Ruzhansky
language : en
Publisher: Birkhäuser
Release Date : 2017-10-03
Advances In Real And Complex Analysis With Applications written by Michael Ruzhansky and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-03 with Mathematics categories.
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
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Author : Fabrizio Colombo
language : en
Publisher: Birkhäuser
Release Date : 2017-09-30
Advances In Complex Analysis And Operator Theory written by Fabrizio Colombo and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-30 with Mathematics categories.
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.
Advancements In Complex Analysis
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Author : Daniel Breaz
language : en
Publisher: Springer Nature
Release Date : 2020-05-12
Advancements In Complex Analysis written by Daniel Breaz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-12 with Mathematics categories.
The contributions to this volume are devoted to a discussion of state-of-the-art research and treatment of problems of a wide spectrum of areas in complex analysis ranging from pure to applied and interdisciplinary mathematical research. Topics covered include: holomorphic approximation, hypercomplex analysis, special functions of complex variables, automorphic groups, zeros of the Riemann zeta function, Gaussian multiplicative chaos, non-constant frequency decompositions, minimal kernels, one-component inner functions, power moment problems, complex dynamics, biholomorphic cryptosystems, fermionic and bosonic operators. The book will appeal to graduate students and research mathematicians as well as to physicists, engineers, and scientists, whose work is related to the topics covered.
Finite Or Infinite Dimensional Complex Analysis And Applications
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Author : Le Hung Son
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Finite Or Infinite Dimensional Complex Analysis And Applications written by Le Hung Son and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
There is almost no field in Mathematics which does not use Mathe matical Analysis. Computer methods in Applied Mathematics, too, are often based on statements and procedures of Mathematical Analysis. An important part of Mathematical Analysis is Complex Analysis because it has many applications in various branches of Mathematics. Since the field of Complex Analysis and its applications is a focal point in the Vietnamese research programme, the Hanoi University of Technology organized an International Conference on Finite or Infinite Dimensional Complex Analysis and Applications which took place in Hanoi from August 8 - 12, 2001. This conference th was the 9 one in a series of conferences which take place alternately in China, Japan, Korea and Vietnam each year. The first one took place th at Pusan University in Korea in 1993. The preceding 8 conference was th held in Shandong in China in August 2000. The 9 conference of the was the first one which took place above mentioned series of conferences in Vietnam. Present trends in Complex Analysis reflected in the present volume are mainly concentrated in the following four research directions: 1 Value distribution theory (including meromorphic funtions, mero morphic mappings, as well as p-adic functions over fields of finite or zero characteristic) and its applications, 2 Holomorphic functions in several (finitely or infinitely many) com plex variables, 3 Clifford Analysis, i.e., complex methods in higher-dimensional real Euclidian spaces, 4 Generalized analytic functions.
Advances In Complex Analysis And Its Applications
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Author :
language : en
Publisher:
Release Date : 2003
Advances In Complex Analysis And Its Applications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
Advanced Complex Analysis
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Author : Barry Simon
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-11-02
Advanced Complex Analysis written by Barry Simon and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-02 with Mathematics categories.
A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. Part 2B provides a comprehensive look at a number of subjects of complex analysis not included in Part 2A. Presented in this volume are the theory of conformal metrics (including the Poincaré metric, the Ahlfors-Robinson proof of Picard's theorem, and Bell's proof of the Painlevé smoothness theorem), topics in analytic number theory (including Jacobi's two- and four-square theorems, the Dirichlet prime progression theorem, the prime number theorem, and the Hardy-Littlewood asymptotics for the number of partitions), the theory of Fuschian differential equations, asymptotic methods (including Euler's method, stationary phase, the saddle-point method, and the WKB method), univalent functions (including an introduction to SLE), and Nevanlinna theory. The chapters on Fuschian differential equations and on asymptotic methods can be viewed as a minicourse on the theory of special functions.
Complex Analysis
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Author : Shashank Tiwari
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Complex Analysis written by Shashank Tiwari and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
"Complex Analysis: Advanced Concepts" delves into the intricate world of complex numbers and functions, offering a thorough exploration of their properties and applications. The book begins with a detailed examination of basic concepts, covering arithmetic operations, geometric interpretations, and the fundamental theorem of algebra. It then progresses to advanced topics such as complex functions, differentiation, integration, and series. One of the book's notable strengths lies in its clear and concise explanations, accompanied by numerous examples and exercises to reinforce understanding. Readers are guided through theorems and proofs, gaining insight into the elegance and power of complex analysis. The book also highlights the relevance of complex analysis in various fields, including physics, engineering, and economics. Applications such as potential theory, fluid dynamics, and signal processing are explored, demonstrating the subject's practical significance. Whether used as a textbook for students or a reference for professionals, "Complex Analysis: Advanced Concepts" offers a valuable resource for mastering the intricacies of this essential branch of mathematics. Its comprehensive coverage and accessible style make it an indispensable addition to any mathematician's library.
Advanced Complex Analysis
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Author : Mr. Rohit Manglik
language : en
Publisher: EduGorilla Publication
Release Date : 2024-03-05
Advanced Complex Analysis written by Mr. Rohit Manglik and has been published by EduGorilla Publication this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-05 with Mathematics categories.
EduGorilla Publication is a trusted name in the education sector, committed to empowering learners with high-quality study materials and resources. Specializing in competitive exams and academic support, EduGorilla provides comprehensive and well-structured content tailored to meet the needs of students across various streams and levels.