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Author : Janne Heittokangas
Publisher :
ISBN 13 :
Total Pages : 62 pages
Book Rating : 4.:/5 (318 download)
Download or read book On Complex Differential Equations in the Unit Disc written by Janne Heittokangas and published by . This book was released on 2000 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Heinrich G. W. Begehr
Publisher : World Scientific
ISBN 13 : 9789810215507
Total Pages : 288 pages
Book Rating : 4.2/5 (155 download)
Download or read book Complex Analytic Methods for Partial Differential Equations written by Heinrich G. W. Begehr and published by World Scientific. This book was released on 1994 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory text for beginners who have a basic knowledge of complex analysis, functional analysis and partial differential equations. Riemann and Riemann-Hilbert boundary value problems are discussed for analytic functions, for inhomogeneous Cauchy-Riemann systems as well as for generalized Beltrami systems. Related problems such as the Poincar problem, pseudoparabolic systems and complex elliptic second order equations are also considered. Estimates for solutions to linear equations existence and uniqueness results are thus available for related nonlinear problems; the method is explained by constructing entire solutions to nonlinear Beltrami equations. Often problems are discussed just for the unit disc but more general domains, even of multiply connectivity, are involved.
Author : Flaviano Battelli
Publisher : Elsevier
ISBN 13 : 0080559468
Total Pages : 719 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of Differential Equations: Ordinary Differential Equations written by Flaviano Battelli and published by Elsevier. This book was released on 2008-08-19 with total page 719 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook is the fourth volume in a series of volumes devoted to self-contained and up-to-date surveys in the theory of ordinary differential equations, with an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wider audience. Covers a variety of problems in ordinary differential equations Pure mathematical and real-world applications Written for mathematicians and scientists of many related fields
Author : Bhui, Bikas Chandra & Chatterjee Dipak
Publisher : Vikas Publishing House
ISBN 13 : 9353381312
Total Pages : pages
Book Rating : 4.3/5 (533 download)
Download or read book Mathematics-II (Calculus, Ordinary Differential Equations and Complex Variable) written by Bhui, Bikas Chandra & Chatterjee Dipak and published by Vikas Publishing House. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics-II (Calculus, Ordinary Differential Equations and Complex Variable) for the paper BSC-104 of the latest AICTE syllabus has been written for the second semester engineering students of Indian universities. Paper BSC-104 is common for all streams except CS&E students. The book has been planned with utmost care in the exposition of concepts, choice of illustrative examples, and also in sequencing of topics. The language is simple, yet accurate. A large number of worked-out problems have been included to familiarize the students with the techniques to solving them, and to instil confidence. Authors’ long experience of teaching various grades of students has helped in laying proper emphasis on various techniques of solving difficult problems.
Author : Steven G. Krantz
Publisher : CRC Press
ISBN 13 : 1584885807
Total Pages : 443 pages
Book Rating : 4.5/5 (848 download)
Download or read book Complex Variables written by Steven G. Krantz and published by CRC Press. This book was released on 2007-09-19 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the algebraic properties of a complete number field, to the analytic properties imposed by the Cauchy integral formula, to the geometric qualities originating from conformality, Complex Variables: A Physical Approach with Applications and MATLAB explores all facets of this subject, with particular emphasis on using theory in practice. The first five chapters encompass the core material of the book. These chapters cover fundamental concepts, holomorphic and harmonic functions, Cauchy theory and its applications, and isolated singularities. Subsequent chapters discuss the argument principle, geometric theory, and conformal mapping, followed by a more advanced discussion of harmonic functions. The author also presents a detailed glimpse of how complex variables are used in the real world, with chapters on Fourier and Laplace transforms as well as partial differential equations and boundary value problems. The final chapter explores computer tools, including Mathematica®, MapleTM, and MATLAB®, that can be employed to study complex variables. Each chapter contains physical applications drawing from the areas of physics and engineering. Offering new directions for further learning, this text provides modern students with a powerful toolkit for future work in the mathematical sciences.
Author : Javad Mashreghi
Publisher : Springer Science & Business Media
ISBN 13 : 1461453402
Total Pages : 324 pages
Book Rating : 4.4/5 (614 download)
Download or read book Blaschke Products and Their Applications written by Javad Mashreghi and published by Springer Science & Business Media. This book was released on 2012-10-05 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Blaschke Products and Their Applications presents a collection of survey articles that examine Blaschke products and several of its applications to fields such as approximation theory, differential equations, dynamical systems, harmonic analysis, to name a few. Additionally, this volume illustrates the historical roots of Blaschke products and highlights key research on this topic. For nearly a century, Blaschke products have been researched. Their boundary behaviour, the asymptomatic growth of various integral means and their derivatives, their applications within several branches of mathematics, and their membership in different function spaces and their dynamics, are a few examples of where Blaschke products have shown to be important. The contributions written by experts from various fields of mathematical research will engage graduate students and researches alike, bringing the reader to the forefront of research in the topic. The readers will also discover the various open problems, enabling them to better pursue their own research.
Author : Bert-Wolfgang Schulze
Publisher : Springer Science & Business Media
ISBN 13 : 3034601980
Total Pages : 300 pages
Book Rating : 4.0/5 (346 download)
Download or read book Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations written by Bert-Wolfgang Schulze and published by Springer Science & Business Media. This book was released on 2010-03-01 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consists of the expository paper based on the 6-hour minicourse given by Professor Bert-Wolfgang Schulze, and sixteen papers based on lectures given at the workshop and on invitations.
Author : Steven G. Krantz
Publisher : CRC Press
ISBN 13 : 1000000354
Total Pages : 351 pages
Book Rating : 4.0/5 ( download)
Download or read book Complex Variables written by Steven G. Krantz and published by CRC Press. This book was released on 2019-04-16 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of complex numbers dates back at least 300 years—to Gauss and Euler, among others. Today complex analysis is a central part of modern analytical thinking. It is used in engineering, physics, mathematics, astrophysics, and many other fields. It provides powerful tools for doing mathematical analysis, and often yields pleasing and unanticipated answers. This book makes the subject of complex analysis accessible to a broad audience. The complex numbers are a somewhat mysterious number system that seems to come out of the blue. It is important for students to see that this is really a very concrete set of objects that has very concrete and meaningful applications. Features: This new edition is a substantial rewrite, focusing on the accessibility, applied, and visual aspect of complex analysis This book has an exceptionally large number of examples and a large number of figures. The topic is presented as a natural outgrowth of the calculus. It is not a new language, or a new way of thinking. Incisive applications appear throughout the book. Partial differential equations are used as a unifying theme.
Author : Lipman Bers
Publisher : American Mathematical Soc.
ISBN 13 : 9780821896983
Total Pages : 372 pages
Book Rating : 4.8/5 (969 download)
Download or read book Partial Differential Equations written by Lipman Bers and published by American Mathematical Soc.. This book was released on 1964-12-31 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Man Wah Wong
Publisher : World Scientific
ISBN 13 : 9812811079
Total Pages : 159 pages
Book Rating : 4.8/5 (128 download)
Download or read book Complex Analysis written by Man Wah Wong and published by World Scientific. This book was released on 2008 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is ideal for a one-semester course for advanced undergraduate students and first-year graduate students in mathematics. It is a straightforward and coherent account of a body of knowledge in complex analysis, from complex numbers to Cauchy's integral theorems and formulas to more advanced topics such as automorphism groups, the Schwarz problem in partial differential equations, and boundary behavior of harmonic functions.The book covers a wide range of topics, from the most basic complex numbers to those that underpin current research on some aspects of analysis and partial differential equations. The novelty of this book lies in its choice of topics, genesis of presentation, and lucidity of exposition.
Author : Abduhamid Dzhuraev
Publisher : CRC Press
ISBN 13 : 9781584881445
Total Pages : 220 pages
Book Rating : 4.8/5 (814 download)
Download or read book Singular Partial Differential Equations written by Abduhamid Dzhuraev and published by CRC Press. This book was released on 1999-11-29 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singular Partial Differential Equations provides an analytical, constructive, and elementary approach to non-elementary problems. In the first monograph to consider such equations, the author investigates the solvability of partial differential equations and systems in a class of bounded functions with complex coefficients having singularities at the inner points or boundary of the domain. Using complex variable techniques, the author considers a variety of problems, including the Dirichlet, Neumann, and other problems for first order systems. He also explores applications to singular equations, degenerate, high-dimensional Beltrami systems in Cn,, and others. Singular Partial Differential Equations fills a gap in the literature on degenerate and singular partial differential equations and significantly contributes to the theory of boundary value problems for these equations and systems. It will undoubtedly stimulate further research in the field. Practical applications in analysis and physics make this important reading for researchers and students in physics and engineering, along with mathematicians.
Author : A. Iserles
Publisher : Cambridge University Press
ISBN 13 : 0521734908
Total Pages : 481 pages
Book Rating : 4.5/5 (217 download)
Download or read book A First Course in the Numerical Analysis of Differential Equations written by A. Iserles and published by Cambridge University Press. This book was released on 2009 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: lead the reader to a theoretical understanding of the subject without neglecting its practical aspects. The outcome is a textbook that is mathematically honest and rigorous and provides its target audience with a wide range of skills in both ordinary and partial differential equations." --Book Jacket.
Author : Piotr Drygaś
Publisher : Birkhäuser
ISBN 13 : 3319726404
Total Pages : 214 pages
Book Rating : 4.3/5 (197 download)
Download or read book Modern Problems in Applied Analysis written by Piotr Drygaś and published by Birkhäuser. This book was released on 2018-03-21 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features a collection of recent findings in Applied Real and Complex Analysis that were presented at the 3rd International Conference “Boundary Value Problems, Functional Equations and Applications” (BAF-3), held in Rzeszow, Poland on 20-23 April 2016. The contributions presented here develop a technique related to the scope of the workshop and touching on the fields of differential and functional equations, complex and real analysis, with a special emphasis on topics related to boundary value problems. Further, the papers discuss various applications of the technique, mainly in solid mechanics (crack propagation, conductivity of composite materials), biomechanics (viscoelastic behavior of the periodontal ligament, modeling of swarms) and fluid dynamics (Stokes and Brinkman type flows, Hele-Shaw type flows). The book is addressed to all readers who are interested in the development and application of innovative research results that can help solve theoretical and real-world problems.
Author : Heinrich G W Begehr
Publisher : World Scientific Publishing Company
ISBN 13 : 9813104686
Total Pages : 284 pages
Book Rating : 4.8/5 (131 download)
Download or read book Complex Analytic Methods for Partial Differential Equations written by Heinrich G W Begehr and published by World Scientific Publishing Company. This book was released on 1994-11-15 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory text for beginners who have a basic knowledge of complex analysis, functional analysis and partial differential equations. Riemann and Riemann-Hilbert boundary value problems are discussed for analytic functions, for inhomogeneous Cauchy-Riemann systems as well as for generalized Beltrami systems. Related problems such as the Poincaré problem, pseudoparabolic systems and complex elliptic second order equations are also considered. Estimates for solutions to linear equations existence and uniqueness results are thus available for related nonlinear problems; the method is explained by constructing entire solutions to nonlinear Beltrami equations. Often problems are discussed just for the unit disc but more general domains, even of multiply connectivity, are involved.
Author : Ram N. Mohapatra
Publisher : Springer
ISBN 13 : 8132224523
Total Pages : 493 pages
Book Rating : 4.1/5 (322 download)
Download or read book Mathematics and Computing written by Ram N. Mohapatra and published by Springer. This book was released on 2015-06-25 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses recent developments and contemporary research in mathematics, statistics and their applications in computing. All contributing authors are eminent academicians, scientists, researchers and scholars in their respective fields, hailing from around the world. This is the second conference on mathematics and computing organized at Haldia Institute of Technology, India. The conference has emerged as a powerful forum, offering researchers a venue to discuss, interact and collaborate, and stimulating the advancement of mathematics and its applications in computer science. The book will allow aspiring researchers to update their knowledge of cryptography, algebra, frame theory, optimizations, stochastic processes, compressive sensing, functional analysis, complex variables, etc. Educating future consumers, users, producers, developers and researchers in mathematics and computing is a challenging task and essential to the development of modern society. Hence, mathematics and its applications in computing are of vital importance to a broad range of communities, including mathematicians and computing professionals across different educational levels and disciplines. In current research, modeling and simulation, making decisions under uncertainty and pattern recognition have become very common. Professionals across different educational levels and disciplines need exposure to advances in mathematics and computing. In this context, this book presents research papers on applicable areas of current interest. It also includes papers in which experts summarize research findings, such as signal processing and analysis and low-rank-matrix approximation for solving large systems, which will emerge as powerful tools for further research. These new advances and cutting-edge research in the fields of mathematics and their applications to computing are of paramount importance for young researchers.
Author : Nakhlé H. Asmar
Publisher :
ISBN 13 :
Total Pages : 904 pages
Book Rating : 4.X/5 (4 download)
Download or read book Applied Complex Analysis with Partial Differential Equations written by Nakhlé H. Asmar and published by . This book was released on 2002 with total page 904 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reader-friendly book presents traditional material using a modern approach that invites the use of technology. Abundant exercises, examples, and graphics make it a comprehensive and visually appealing resource. Chapter topics include complex numbers and functions, analytic functions, complex integration, complex series, residues: applications and theory, conformal mapping, partial differential equations: methods and applications, transform methods, and partial differential equations in polar and spherical coordinates. For engineers and physicists in need of a quick reference tool.
Author : John W. Dettman
Publisher : Courier Corporation
ISBN 13 : 0486158284
Total Pages : 512 pages
Book Rating : 4.4/5 (861 download)
Download or read book Applied Complex Variables written by John W. Dettman and published by Courier Corporation. This book was released on 2012-05-07 with total page 512 pages. 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.
