Complex Analysis with MATHEMATICA®

Author: William T. Shaw

Publisher: Cambridge University Press

ISBN: 0521836263

Category: Computers

Page: 571

View: 6472

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This book presents a way of learning complex analysis, using Mathematica. Includes CD with electronic version of the book.
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Inequalities from Complex Analysis

Author: John P. D'Angelo

Publisher: MAA

ISBN: 9780883850336

Category: Mathematics

Page: 264

View: 5131

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Inequalities from Complex Analysis is a careful, friendly exposition of inequalities and positivity conditions for various mathematical objects arising in complex analysis. The author begins by defining the complex number field, and then discusses enough mathematical analysis to reach recently published research on positivity conditions for functions of several complex variables. The development culminates in complete proofs of a stabilization theorem relating two natural positivity conditions for real-valued polynomials of several complex variables. The reader will also encounter the Bergman kernel function, Fourier series, Hermitian linear algebra, the spectral theorem for compact Hermitian operators, plurisubharmonic functions, and some delightful inequalities. Numerous examples, exercises, and discussions of geometric reasoning appear along the way. Undergraduate mathematics majors who have seen elementary real analysis can easily read the first five chapters of this book, and second year graduate students in mathematics can read the entire text. Some physicists and engineers may also find the topics and discussions useful. The inequalities and positivity conditions herein form the foundation for a small but beautiful part of complex analysis. ohn P. D'Angelo was the 1999 winner of the Bergman Prize; he was cited for several important contributions to complex analysis, including his work on degenerate Levi forms and points of finite type, as well as work, some joint with David Catlin, on positivity conditions in complex analysis.
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A First Course in Complex Analysis with Applications

Author: Dennis G. Zill,Patrick Shanahan,Patrick D. Shanahan

Publisher: Jones & Bartlett Learning

ISBN: 9780763746582

Category: Computers

Page: 512

View: 2514

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A First Course In Complex Analysis With Applications Limits Theoretical Coverage To Only What Is Necessary, And Conveys It In A Student-Friendly Style. Its Aim Is To Introduce The Basic Principles And Applications Of Complex Analysis To Undergraduates Who Have No Prior Knowledge Of This Subject. Contents Of The Book Include The Complex Number System, Complex Functions And Sequences, As Well As Real Integrals; In Addition To Other Concepts Of Calculus, And The Functions Of A Complex Variable. This Text Is Written For Junior-Level Undergraduate Students Who Are Majoring In Math, Physics, Computer Science, And Electrical Engineering.
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A First Course in Complex Analysis with Applications

Author: Dennis G. Zill,Patrick Shanahan

Publisher: Jones & Bartlett Learning

ISBN: 0763757721

Category: Mathematics

Page: 405

View: 7068

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Part of the new Digital Filmmaker Series! Digital Filmmaking: An Introductionis the first book in the newDigital Filmmaker Series. Designed for an introductory level course in digital filmmaking, it is intended for anyone who has an interest in telling stories with pictures and sound and won't assume any familiarity with equipment or concepts on the part of the student. In addition to the basics of shooting and editing, different story forms are introduced from documentary and live events through fictional narratives. Each of the topics is covered in enough depth to allow anyone with a camera and a computer to begin creating visual projects of quality.
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Applied Complex Variables

Author: John Warren Dettman

Publisher: Courier Corporation

ISBN: 9780486646701

Category: Mathematics

Page: 481

View: 3765

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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.
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Complex Analysis for Mathematics and Engineering

Author: John H. Mathews,Russell W. Howell

Publisher: Jones & Bartlett Publishers

ISBN: 1449604455

Category: Mathematics

Page: 645

View: 8794

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Intended for the undergraduate student majoring in mathematics, physics or engineering, the Sixth Edition of Complex Analysis for Mathematics and Engineering continues to provide a comprehensive, student-friendly presentation of this interesting area of mathematics. The authors strike a balance between the pure and applied aspects of the subject, and present concepts in a clear writing style that is appropriate for students at the junior/senior level. Through its thorough, accessible presentation and numerous applications, the sixth edition of this classic text allows students to work through even the most difficult proofs with ease. New exercise sets help students test their understanding of the material at hand and assess their progress through the course. Additional Mathematica and Maple exercises, as well as a student study guide are also available online.
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Mathematica for Scientists and Engineers

Author: Thomas Bazyli Bahder

Publisher: Addison-Wesley

ISBN: N.A

Category: Mathematics

Page: 846

View: 8960

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This practical guide to Mathematica focuses on the specific needs of scientists and engineers. Problems in these fields often are non-trivial, and can push Mathematica (and any computer system) to its limits. Here the author, providing carefully chosen examples, shows how these problems can be solved.
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Complex Analysis and Special Functions with Mathematical Software Tools

Author: A. Swaminathan

Publisher: Chapman and Hall/CRC

ISBN: 9781439857427

Category: Mathematics

Page: 550

View: 4300

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This text emphasizes the special functions that are used in complex analysis. Starting with the algebraic system of complex numbers, it offers an entry-level course on complex analysis of one variable. It presents the study of analytic functions, conformal mapping, analysis of singularities, and the computation of various integrals. The final three chapters introduce more advanced topics and applications. The book provides examples of applications to various physical problems and explains how to use Mathematica®, MapleTM, and MATLAB®.
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Five Lectures in Complex Analysis

Second Winter School on Complex Analysis and Operator Theory, February 5-9, 2008, University of Sevilla, Sevilla, Spain

Author: Contreras Márquez Contreras,Santiago Díaz-Madrigal

Publisher: American Mathematical Soc.

ISBN: 0821848097

Category: Mathematics

Page: 161

View: 452

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"This volume contains state-of-art survey papers in complex analysis based on lectures given at the second Winter School on Complex Analysis and Operator Theory held in February 2008 at the University of Sevilla, Sevilla, Spain." "Complex analysis is oneof the most classical branches of mathematical analysis and is closely related to many other areas of mathematics, including operator theory, harmonic analysis, probability theory, functional analysis and dynamical systems. Undoubtedly, the interplay among all these branches gives rise to very beautiful and deep results in complex analysis and its neighboring fields. This interdisciplinary aspect of complex analysis is the central topic of this volume." "This book collects the latest advances in five significant areas of rapid development in complex analysis. The papers are: Local holomorphic dynamics of diffeomorphisms in dimension one, by F. Bracci, Nonpostive curvature and complex analysis, by S. M. Buckley, Virasoro algebra and dynamics in the space of univalent functions, by I. Markina and A. Vasil'ev, Composition operators Toeplitz operators, by J. H. Shapir, and Two applications of the Bergman spaces techniques, by S. Shimorin." "The papers are aimed, in particular, at graduate students with some experince in basic complex analysis. They might also serve as introductions for general researchers in mathematical analysis who may be interested in the specific areas addressed by the authors. Indeed, the contributions can be considered as up-to-the minute reports on the current state of the fields, each of them including many recent results which may be difficult to find in the literature."--BOOK JACKET.
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