Recent Developments In Complex Analysis And Computer Algebra

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Recent Developments in Complex Analysis and Computer Algebra

Author : R.P. Gilbert
Publisher : Springer Science & Business Media
ISBN 13 : 1461302978
Total Pages : 382 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Recent Developments in Complex Analysis and Computer Algebra by : R.P. Gilbert

Download or read book Recent Developments in Complex Analysis and Computer Algebra written by R.P. Gilbert and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of papers presented in the special sessions on "Complex and Numerical Analysis", "Value Distribution Theory and Complex Domains", and "Use of Symbolic Computation in Mathematics Education" of the ISAAC'97 Congress held at the University of Delaware, during June 2-7, 1997. The ISAAC Congress coincided with a U.S.-Japan Seminar also held at the University of Delaware. The latter was supported by the National Science Foundation through Grant INT-9603029 and the Japan Society for the Promotion of Science through Grant MTCS-134. It was natural that the participants of both meetings should interact and consequently several persons attending the Congress also presented papers in the Seminar. The success of the ISAAC Congress and the U.S.-Japan Seminar has led to the ISAAC'99 Congress being held in Fukuoka, Japan during August 1999. Many of the same participants will return to this Seminar. Indeed, it appears that the spirit of the U.S.-Japan Seminar will be continued every second year as part of the ISAAC Congresses. We decided to include with the papers presented in the ISAAC Congress and the U.S.-Japan Seminar several very good papers by colleagues from the former Soviet Union. These participants in the ISAAC Congress attended at their own expense.

Complex Analysis

Author : Eberhard Freitag
Publisher : Springer Science & Business Media
ISBN 13 : 3540308237
Total Pages : 553 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Complex Analysis by : Eberhard Freitag

Download or read book Complex Analysis written by Eberhard Freitag and published by Springer Science & Business Media. This book was released on 2006-01-17 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: All needed notions are developed within the book: with the exception of fundamentals which are presented in introductory lectures, no other knowledge is assumed Provides a more in-depth introduction to the subject than other existing books in this area Over 400 exercises including hints for solutions are included

Current Topics in Pure and Computational Complex Analysis

Author : Santosh Joshi
Publisher : Springer
ISBN 13 : 8132221133
Total Pages : 258 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis Current Topics in Pure and Computational Complex Analysis by : Santosh Joshi

Download or read book Current Topics in Pure and Computational Complex Analysis written by Santosh Joshi and published by Springer. This book was released on 2014-12-02 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains 13 articles, some of which are survey articles and others research papers. Written by eminent mathematicians, these articles were presented at the International Workshop on Complex Analysis and Its Applications held at Walchand College of Engineering, Sangli. All the contributing authors are actively engaged in research fields related to the topic of the book. The workshop offered a comprehensive exposition of the recent developments in geometric functions theory, planar harmonic mappings, entire and meromorphic functions and their applications, both theoretical and computational. The recent developments in complex analysis and its applications play a crucial role in research in many disciplines.

Modern Methods in Complex Analysis (AM-137), Volume 137

Author : Thomas Bloom
Publisher : Princeton University Press
ISBN 13 : 1400882575
Total Pages : 360 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Modern Methods in Complex Analysis (AM-137), Volume 137 by : Thomas Bloom

Download or read book Modern Methods in Complex Analysis (AM-137), Volume 137 written by Thomas Bloom and published by Princeton University Press. This book was released on 2016-03-02 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fifteen articles composing this volume focus on recent developments in complex analysis. Written by well-known researchers in complex analysis and related fields, they cover a wide spectrum of research using the methods of partial differential equations as well as differential and algebraic geometry. The topics include invariants of manifolds, the complex Neumann problem, complex dynamics, Ricci flows, the Abel-Radon transforms, the action of the Ricci curvature operator, locally symmetric manifolds, the maximum principle, very ampleness criterion, integrability of elliptic systems, and contact geometry. Among the contributions are survey articles, which are especially suitable for readers looking for a comprehensive, well-presented introduction to the most recent important developments in the field. The contributors are R. Bott, M. Christ, J. P. D'Angelo, P. Eyssidieux, C. Fefferman, J. E. Fornaess, H. Grauert, R. S. Hamilton, G. M. Henkin, N. Mok, A. M. Nadel, L. Nirenberg, N. Sibony, Y.-T. Siu, F. Treves, and S. M. Webster.

Finite or Infinite Dimensional Complex Analysis and Applications

Author : Le Hung Son
Publisher : Springer Science & Business Media
ISBN 13 : 1461302218
Total Pages : 379 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Finite or Infinite Dimensional Complex Analysis and Applications by : Le Hung Son

Download or read book Finite or Infinite Dimensional Complex Analysis and Applications written by Le Hung Son and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

New Trends in Analysis and Interdisciplinary Applications

Author : Pei Dang
Publisher : Birkhäuser
ISBN 13 : 3319488120
Total Pages : 615 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis New Trends in Analysis and Interdisciplinary Applications by : Pei Dang

Download or read book New Trends in Analysis and Interdisciplinary Applications written by Pei Dang and published by Birkhäuser. This book was released on 2017-04-18 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of papers from the 10th ISAAC Congress 2015, held in Macau, China. The papers, prepared by respected international experts, address recent results in Mathematics, with a special focus on Analysis. By structuring the content according to the various mathematical topics, the volume offers specialists and non-specialists alike an excellent source of information on the state-of-the-art in Mathematical Analysis and its interdisciplinary applications.

Modern Methods in Complex Analysis

Author : Thomas Bloom
Publisher : Princeton University Press
ISBN 13 : 9780691044286
Total Pages : 366 pages
Book Rating : 4.0/5 (442 download)

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Book Synopsis Modern Methods in Complex Analysis by : Thomas Bloom

Download or read book Modern Methods in Complex Analysis written by Thomas Bloom and published by Princeton University Press. This book was released on 1995-12-03 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fifteen articles composing this volume focus on recent developments in complex analysis. Written by well-known researchers in complex analysis and related fields, they cover a wide spectrum of research using the methods of partial differential equations as well as differential and algebraic geometry. The topics include invariants of manifolds, the complex Neumann problem, complex dynamics, Ricci flows, the Abel-Radon transforms, the action of the Ricci curvature operator, locally symmetric manifolds, the maximum principle, very ampleness criterion, integrability of elliptic systems, and contact geometry. Among the contributions are survey articles, which are especially suitable for readers looking for a comprehensive, well-presented introduction to the most recent important developments in the field. The contributors are R. Bott, M. Christ, J. P. D'Angelo, P. Eyssidieux, C. Fefferman, J. E. Fornaess, H. Grauert, R. S. Hamilton, G. M. Henkin, N. Mok, A. M. Nadel, L. Nirenberg, N. Sibony, Y.-T. Siu, F. Treves, and S. M. Webster.

Computer Algebra in Scientific Computing CASC 2001

Author : Viktor G. Ganzha
Publisher : Springer Science & Business Media
ISBN 13 : 3642566669
Total Pages : 543 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Computer Algebra in Scientific Computing CASC 2001 by : Viktor G. Ganzha

Download or read book Computer Algebra in Scientific Computing CASC 2001 written by Viktor G. Ganzha and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: CASC 2001 continues a tradition ~ started in 1998 ~ of international con ferences on the latest advances in the application of computer algebra systems to the solution of various problems in scientific computing. The three ear (CASs) lier conferences in this sequence, CASC'98, CASC'99, and CASC 2000, were held, Petersburg, Russia, in Munich, Germany, and in Samarkand, respectively, in St. Uzbekistan, and proved to be very successful. We have to thank the program committee, listed overleaf, for a tremendous job in soliciting and providing reviews for the submitted papers. There were more than three reviews per submission on average. The result of this job is reflected in the present volume, which contains revised versions of the accepted papers. The collection of papers included in the proceedings covers various topics of computer algebra methods, algorithms and software applied to scientific computing. In particular, five papers are devoted to the implementation of the analysis of involutive systems with the aid of CASso The specific examples include new efficient algorithms for the computation of Janet bases for monomial ideals, involutive division, involutive reduction method, etc. A number of papers deal with application of CASs for obtaining and vali dating new exact solutions to initial and boundary value problems for partial differential equations in mathematical physics. Several papers show how CASs can be used to obtain analytic solutions of initial and boundary value problems for ordinary differential equations and for studying their properties.

Applied and Computational Complex Analysis, Volume 1

Author : Peter Henrici
Publisher : John Wiley & Sons
ISBN 13 : 9780471608417
Total Pages : 704 pages
Book Rating : 4.6/5 (84 download)

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Book Synopsis Applied and Computational Complex Analysis, Volume 1 by : Peter Henrici

Download or read book Applied and Computational Complex Analysis, Volume 1 written by Peter Henrici and published by John Wiley & Sons. This book was released on 1988-02-23 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents applications as well as the basic theory of analytic functions of one or several complex variables. The first volume discusses applications and basic theory of conformal mapping and the solution of algebraic and transcendental equations. Volume Two covers topics broadly connected with ordinary differental equations: special functions, integral transforms, asymptotics and continued fractions. Volume Three details discrete fourier analysis, cauchy integrals, construction of conformal maps, univalent functions, potential theory in the plane and polynomial expansions.

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 1770 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2004 with total page 1770 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computer Algebra Systems

Author : Michael J. Wester
Publisher : Wiley-Blackwell
ISBN 13 :
Total Pages : 464 pages
Book Rating : 4.X/5 (4 download)

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Book Synopsis Computer Algebra Systems by : Michael J. Wester

Download or read book Computer Algebra Systems written by Michael J. Wester and published by Wiley-Blackwell. This book was released on 1999-07-16 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thorough overview of the major computer algebra (symbolic mathematical) systems compares and contrasts their strengths and weaknesses, and gives tutorial information for using these systems in various ways. * Compares different packages quantitatively using standard 'test suites' * Ideal for assessing the most appropriate package for a particular user or application * Examines the performance and future developments from a user's and developer's viewpoint Internationally recognized specialists overview both the general and special purpose systems and discuss issues such as denesting nested roots, complex number calculations, efficiently computing special polynomials, solving single equations and systems of polynomial equations, computing limits, multiple integration, solving ordinary differential and nonlinear evolution equations, code generation, evaluation and computer algebra in education. The historical origins, computer algebra resources and equivalents for many common operations in seven major packages are also covered. By providing such a comprehensive survey, the experienced user is able to make an informed decision on which system(s) he or she might like to use. It also allows a user new to computer algebra to form an idea of where to begin. Since each system looked at in this book uses a different language, many examples are included to aid the user in adapting to these language differences. These examples can be used as a guide to using the various systems once one understands the basic principles of one CAS. The book also includes contributions which look at the broad issues of the needs of various users and future developments, both from the user's and the developer's viewpoint. The author is a leading figure in the development and analysis of mathematical software and is well known through the 'Wester test suite' of problems which provide a bench mark for measuring the performance of mathematical software systems. The book will help develop our range of titles for applied mathematcians. The book will provide a unique, fully up-to-date and independent assessment of particular systems and will be of interest to users and purchasers of CAS's.

Proceedings of the Second ISAAC Congress

Author : Heinrich G.W. Begehr
Publisher : Springer Science & Business Media
ISBN 13 : 1461302692
Total Pages : 786 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Proceedings of the Second ISAAC Congress by : Heinrich G.W. Begehr

Download or read book Proceedings of the Second ISAAC Congress written by Heinrich G.W. Begehr and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 786 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the Proceedings of the Second ISAAC Congress. ISAAC is the acronym of the International Society for Analysis, its Applications and Computation. The president of ISAAC is Professor Robert P. Gilbert, the second named editor of this book, e-mail: [email protected]. The Congress is world-wide valued so highly that an application for a grant has been selected and this project has been executed with Grant No. 11-56 from *the Commemorative Association for the Japan World Exposition (1970). The finance of the publication of this book is exclusively the said Grant No. 11-56 from *. Thus, a pair of each one copy of two volumes of this book will be sent to all contributors, who registered at the Second ISAAC Congress in Fukuoka, free of charge by the Kluwer Academic Publishers. Analysis is understood here in the broad sense of the word, includ ing differential equations, integral equations, functional analysis, and function theory. It is the purpose of ISAAC to promote analysis, its applications, and its interaction with computation. With this objective, ISAAC organizes international Congresses for the presentation and dis cussion of research on analysis. ISAAC welcomes new members and those interested in joining ISAAC are encouraged to look at the web site http://www .math. udel.edu/ gilbert/isaac/index.html vi and http://www.math.fu-berlin.de/ rd/ ag/isaac/newton/index.html.

Hypercomplex Analysis: New Perspectives and Applications

Author : Swanhild Bernstein
Publisher : Springer
ISBN 13 : 3319087711
Total Pages : 228 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Hypercomplex Analysis: New Perspectives and Applications by : Swanhild Bernstein

Download or read book Hypercomplex Analysis: New Perspectives and Applications written by Swanhild Bernstein and published by Springer. This book was released on 2014-10-10 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hypercomplex analysis is the extension of complex analysis to higher dimensions where the concept of a holomorphic function is substituted by the concept of a monogenic function. In recent decades this theory has come to the forefront of higher dimensional analysis. There are several approaches to this: quaternionic analysis which merely uses quaternions, Clifford analysis which relies on Clifford algebras, and generalizations of complex variables to higher dimensions such as split-complex variables. This book includes a selection of papers presented at the session on quaternionic and hypercomplex analysis at the ISAAC conference 2013 in Krakow, Poland. The topics covered represent new perspectives and current trends in hypercomplex analysis and applications to mathematical physics, image analysis and processing, and mechanics.

Applications of Computer Algebra

Author : Ilias S. Kotsireas
Publisher : Springer
ISBN 13 : 3319569325
Total Pages : 513 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Applications of Computer Algebra by : Ilias S. Kotsireas

Download or read book Applications of Computer Algebra written by Ilias S. Kotsireas and published by Springer. This book was released on 2017-07-26 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Applications of Computer Algebra (ACA) conference covers a wide range of topics from Coding Theory to Differential Algebra to Quantam Computing, focusing on the interactions of these and other areas with the discipline of Computer Algebra. This volume provides the latest developments in the field as well as its applications in various domains, including communications, modelling, and theoretical physics. The book will appeal to researchers and professors of computer algebra, applied mathematics, and computer science, as well as to engineers and computer scientists engaged in research and development.

Complex Analysis and Geometry

Author : Vincenzo Ancona
Publisher : CRC Press
ISBN 13 : 9780824796723
Total Pages : 580 pages
Book Rating : 4.7/5 (967 download)

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Book Synopsis Complex Analysis and Geometry by : Vincenzo Ancona

Download or read book Complex Analysis and Geometry written by Vincenzo Ancona and published by CRC Press. This book was released on 1995-09-27 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a conference held in Trento, Italy, and sponsored by the Centro Internazionale per la Ricera Matematica, this work presents advances in several complex variables and related topics such as transcendental algebraic geometry, infinite dimensional supermanifolds, and foliations. It covers the unfoldings of singularities, Levi foliations, Cauchy-Reimann manifolds, infinite dimensional supermanifolds, conformal structures, algebraic groups, instantons and more.

Computer Algebra and Symbolic Computation

Author : Joel S. Cohen
Publisher : A K Peters/CRC Press
ISBN 13 :
Total Pages : 476 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Computer Algebra and Symbolic Computation by : Joel S. Cohen

Download or read book Computer Algebra and Symbolic Computation written by Joel S. Cohen and published by A K Peters/CRC Press. This book was released on 2003-01-03 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: "For the student, Mathematical Methods is an essential companion to Elementary Algorithms, illustrating applications of basic ideas. For the professional, Mathematical Methods is a look at new applications of familiar concepts."--BOOK JACKET.

Some Tapas of Computer Algebra

Author : Arjeh M. Cohen
Publisher : Springer Science & Business Media
ISBN 13 : 3662038919
Total Pages : 365 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Some Tapas of Computer Algebra by : Arjeh M. Cohen

Download or read book Some Tapas of Computer Algebra written by Arjeh M. Cohen and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the basic concepts and algorithms of computer algebra using practical examples that illustrate their actual use in symbolic computation. A wide range of topics are presented, including: Groebner bases, real algebraic geometry, lie algebras, factorization of polynomials, integer programming, permutation groups, differential equations, coding theory, automatic theorem proving, and polyhedral geometry. This book is a must read for anyone working in the area of computer algebra, symbolic computation, and computer science.