Applied Pseudoanalytic Function Theory PDF Download
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Author: Vladislav V. Kravchenko
Publisher: Springer Science & Business Media
ISBN: 3034600046
Category : Mathematics
Languages : en
Pages : 179
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Book Description
Pseudoanalytic function theory generalizes and preserves many crucial features of complex analytic function theory. The Cauchy-Riemann system is replaced by a much more general first-order system with variable coefficients which turns out to be closely related to important equations of mathematical physics. This relation supplies powerful tools for studying and solving Schrödinger, Dirac, Maxwell, Klein-Gordon and other equations with the aid of complex-analytic methods. The book is dedicated to these recent developments in pseudoanalytic function theory and their applications as well as to multidimensional generalizations. It is directed to undergraduates, graduate students and researchers interested in complex-analytic methods, solution techniques for equations of mathematical physics, partial and ordinary differential equations.
Author: Vladislav V. Kravchenko
Publisher: Springer Science & Business Media
ISBN: 3034600046
Category : Mathematics
Languages : en
Pages : 179
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Book Description
Pseudoanalytic function theory generalizes and preserves many crucial features of complex analytic function theory. The Cauchy-Riemann system is replaced by a much more general first-order system with variable coefficients which turns out to be closely related to important equations of mathematical physics. This relation supplies powerful tools for studying and solving Schrödinger, Dirac, Maxwell, Klein-Gordon and other equations with the aid of complex-analytic methods. The book is dedicated to these recent developments in pseudoanalytic function theory and their applications as well as to multidimensional generalizations. It is directed to undergraduates, graduate students and researchers interested in complex-analytic methods, solution techniques for equations of mathematical physics, partial and ordinary differential equations.
Author: Joseph A. Ball
Publisher: Springer Science & Business Media
ISBN: 303480346X
Category : Mathematics
Languages : en
Pages : 340
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Book Description
This volume contains twenty-one solicited articles by speakers at the IWOTA 2009 workshop, ranging from expository surveys to original research papers, each carefully refereed. The contributions reflect recent developments in operator theory and its applications. Consistent with the topics of recent IWOTA meetings, IWOTA 2009 was designed as a comprehensive, inclusive conference covering all aspects of theoretical and applied operator theory, ranging from classical analysis, differential and integral equations, complex and harmonic analysis to mathematical physics, mathematical systems and control theory, signal processing and numerical analysis. The conference brought together international experts for a week-long stay at Hotel Real de Minas, in an atmosphere conducive to fruitful professional interactions. These Proceedings reflect the high quality of the papers presented at the conference.
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".
Author:
Publisher:
ISBN:
Category : Military research
Languages : en
Pages : 1194
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Book Description
Author: Lipman Bers
Publisher: American Mathematical Soc.
ISBN: 9780821809969
Category : Mathematics
Languages : en
Pages : 648
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Book Description
Author: Gilbert
Publisher: Academic Press
ISBN: 0080955622
Category : Computers
Languages : en
Pages : 335
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Book Description
Function Theoretic Methods in Partial Differential Equations
Author: Klaus Gürlebeck
Publisher: Springer
ISBN: 3034809646
Category : Mathematics
Languages : en
Pages : 402
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Book Description
This book presents applications of hypercomplex analysis to boundary value and initial-boundary value problems from various areas of mathematical physics. Given that quaternion and Clifford analysis offer natural and intelligent ways to enter into higher dimensions, it starts with quaternion and Clifford versions of complex function theory including series expansions with Appell polynomials, as well as Taylor and Laurent series. Several necessary function spaces are introduced, and an operator calculus based on modifications of the Dirac, Cauchy-Fueter, and Teodorescu operators and different decompositions of quaternion Hilbert spaces are proved. Finally, hypercomplex Fourier transforms are studied in detail. All this is then applied to first-order partial differential equations such as the Maxwell equations, the Carleman-Bers-Vekua system, the Schrödinger equation, and the Beltrami equation. The higher-order equations start with Riccati-type equations. Further topics include spatial fluid flow problems, image and multi-channel processing, image diffusion, linear scale invariant filtering, and others. One of the highlights is the derivation of the three-dimensional Kolosov-Mushkelishvili formulas in linear elasticity. Throughout the book the authors endeavor to present historical references and important personalities. The book is intended for a wide audience in the mathematical and engineering sciences and is accessible to readers with a basic grasp of real, complex, and functional analysis.
Author: Sio-Iong Ao
Publisher: Springer Science & Business Media
ISBN: 9400711921
Category : Technology & Engineering
Languages : en
Pages : 695
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Book Description
A large international conference in Electrical Engineering and Applied Computing was just held in London, 30 June – 2 July, 2010. This volume will contain revised and extended research articles written by prominent researchers participating in the conference. Topics covered include Control Engineering, Network Management, Wireless Networks, Biotechnology, Signal Processing, Computational Intelligence, Data Mining, Computational Statistics, Internet Computing, High Performance Computing, and industrial applications. The book will offer the states of arts of tremendous advances in electrical engineering and applied computing and also serve as an excellent reference work for researchers and graduate students working on electrical engineering and applied computing
Author: Lipman Bers
Publisher: Princeton University Press
ISBN: 1400882184
Category : Mathematics
Languages : en
Pages : 257
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Book Description
The description for this book, Contributions to the Theory of Partial Differential Equations. (AM-33), Volume 33, will be forthcoming.
Author: Lipman Bers
Publisher: American Mathematical Soc.
ISBN: 9780821896983
Category : Differential equations, Partial
Languages : en
Pages : 372
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Book Description
This book consists of two main parts. The first part, "Hyperbolic and Parabolic Equations", written by F. John, contains a well-chosen assortment of material intended to give an understanding of some problems and techniques involving hyperbolic and parabolic equations. The emphasis is on illustrating the subject without attempting to survey it. The point of view is classical, and this serves well in furnishing insight into the subject; it also makes it possible for the lectures to be read by someone familiar with only the fundamentals of real and complex analysis. The second part, "Elliptic Equations", written by L. Bers and M. Schechter, contains a very readable account of the results and methods of the theory of linear elliptic equations, including the maximum principle, Hilbert-space methods, and potential-theoretic methods. It also contains a brief discussion of some quasi-linear elliptic equations. The book is suitable for graduate students and researchers interested in partial differential equations.
