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Applied And Computational Complex Analysis Volume 3


Applied And Computational Complex Analysis Volume 3
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Applied And Computational Complex Analysis Volume 3 Discrete Fourier Analysis Cauchy Integrals Construction Of Conformal Maps Univalent Functions


Applied And Computational Complex Analysis Volume 3 Discrete Fourier Analysis Cauchy Integrals Construction Of Conformal Maps Univalent Functions
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Author : Peter Henrici
language : en
Publisher:
Release Date : 1986

Applied And Computational Complex Analysis Volume 3 Discrete Fourier Analysis Cauchy Integrals Construction Of Conformal Maps Univalent Functions written by Peter Henrici and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.




Applied And Computational Complex Analysis Volume 3


Applied And Computational Complex Analysis Volume 3
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Author : Peter Henrici
language : en
Publisher: John Wiley & Sons
Release Date : 1993-04-16

Applied And Computational Complex Analysis Volume 3 written by Peter Henrici and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-04-16 with Mathematics categories.


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.



Applied And Computational Complex Analysis Volume 1


Applied And Computational Complex Analysis Volume 1
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Author : Peter Henrici
language : en
Publisher: John Wiley & Sons
Release Date : 1988-02-23

Applied And Computational Complex Analysis Volume 1 written by Peter Henrici and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-02-23 with Mathematics categories.


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.



Fourier Meets Hilbert And Riesz


Fourier Meets Hilbert And Riesz
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Author : René Erlin Castillo
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2022-07-05

Fourier Meets Hilbert And Riesz written by René Erlin Castillo and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-05 with Mathematics categories.


This book provides an introduction into the modern theory of classical harmonic analysis, dealing with Fourier analysis and the most elementary singular integral operators, the Hilbert transform and Riesz transforms. Ideal for self-study or a one semester course in Fourier analysis, included are detailed examples and exercises.



Concrete Mathematics


Concrete Mathematics
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Author : Ronald L. Graham
language : en
Publisher: Addison-Wesley Professional
Release Date : 1994-02-28

Concrete Mathematics written by Ronald L. Graham and has been published by Addison-Wesley Professional this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-02-28 with Computers categories.


This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.



A First Course In Fourier Analysis


A First Course In Fourier Analysis
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Author : David W. Kammler
language : en
Publisher: Cambridge University Press
Release Date : 2008-01-17

A First Course In Fourier Analysis written by David W. Kammler and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-17 with Mathematics categories.


This book provides a meaningful resource for applied mathematics through Fourier analysis. It develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study sampling theory, PDEs, probability, diffraction, musical tones, and wavelets. The book contains an unusually complete presentation of the Fourier transform calculus. It uses concepts from calculus to present an elementary theory of generalized functions. FT calculus and generalized functions are then used to study the wave equation, diffusion equation, and diffraction equation. Real-world applications of Fourier analysis are described in the chapter on musical tones. A valuable reference on Fourier analysis for a variety of students and scientific professionals, including mathematicians, physicists, chemists, geologists, electrical engineers, mechanical engineers, and others.



Advanced Magnetohydrodynamics


Advanced Magnetohydrodynamics
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Author : J. P. Goedbloed
language : en
Publisher: Cambridge University Press
Release Date : 2010-04-29

Advanced Magnetohydrodynamics written by J. P. Goedbloed and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-29 with Science categories.


Following on from the companion volume Principles of Magnetohydrodynamics, this textbook analyzes the applications of plasma physics to thermonuclear fusion and plasma astrophysics from the single viewpoint of MHD. This approach turns out to be ever more powerful when applied to streaming plasmas (the vast majority of visible matter in the Universe), toroidal plasmas (the most promising approach to fusion energy), and nonlinear dynamics (where it all comes together with modern computational techniques and extreme transonic and relativistic plasma flows). The textbook interweaves theory and explicit calculations of waves and instabilities of streaming plasmas in complex magnetic geometries. It is ideally suited to advanced undergraduate and graduate courses in plasma physics and astrophysics.



Complex Analyses In Engineering Science And Technology


Complex Analyses In Engineering Science And Technology
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Author : S. G. Ahmed
language : en
Publisher: Bentham Science Publishers
Release Date : 2015-04-27

Complex Analyses In Engineering Science And Technology written by S. G. Ahmed and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-27 with Mathematics categories.


Complex Analysis for Science and Technology is a textbook for undergraduate and postgraduate students undertaking science, technology, engineering and mathematics (STEM) courses. The book begins with an introduction to basic complex numbers, followed by chapters covering complex functions, integrals, transformations and conformal mapping. Topics such as complex series and residue theory are also covered. Key features of this textbook include: -simple, easy-to-understand explanations of relevant concepts -a wide range of simple and complex examples -several figures where appropriate



Advanced Engineering Mathematics


Advanced Engineering Mathematics
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Author : Alan Jeffrey
language : en
Publisher: Elsevier
Release Date : 2001-06-19

Advanced Engineering Mathematics written by Alan Jeffrey and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-06-19 with Technology & Engineering categories.


Advanced Engineering Mathematics provides comprehensive and contemporary coverage of key mathematical ideas, techniques, and their widespread applications, for students majoring in engineering, computer science, mathematics and physics. Using a wide range of examples throughout the book, Jeffrey illustrates how to construct simple mathematical models, how to apply mathematical reasoning to select a particular solution from a range of possible alternatives, and how to determine which solution has physical significance. Jeffrey includes material that is not found in works of a similar nature, such as the use of the matrix exponential when solving systems of ordinary differential equations. The text provides many detailed, worked examples following the introduction of each new idea, and large problem sets provide both routine practice, and, in many cases, greater challenge and insight for students. Most chapters end with a set of computer projects that require the use of any CAS (such as Maple or Mathematica) that reinforce ideas and provide insight into more advanced problems. - Comprehensive coverage of frequently used integrals, functions and fundamental mathematical results - Contents selected and organized to suit the needs of students, scientists, and engineers - Contains tables of Laplace and Fourier transform pairs - New section on numerical approximation - New section on the z-transform - Easy reference system



Real Analysis


Real Analysis
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Author : Gerald B. Folland
language : en
Publisher: John Wiley & Sons
Release Date : 2013-06-11

Real Analysis written by Gerald B. Folland and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-11 with Mathematics categories.


An in-depth look at real analysis and its applications-now expanded and revised. This new edition of the widely used analysis book continues to cover real analysis in greater detail and at a more advanced level than most books on the subject. Encompassing several subjects that underlie much of modern analysis, the book focuses on measure and integration theory, point set topology, and the basics of functional analysis. It illustrates the use of the general theories and introduces readers to other branches of analysis such as Fourier analysis, distribution theory, and probability theory. This edition is bolstered in content as well as in scope-extending its usefulness to students outside of pure analysis as well as those interested in dynamical systems. The numerous exercises, extensive bibliography, and review chapter on sets and metric spaces make Real Analysis: Modern Techniques and Their Applications, Second Edition invaluable for students in graduate-level analysis courses. New features include: * Revised material on the n-dimensional Lebesgue integral. * An improved proof of Tychonoff's theorem. * Expanded material on Fourier analysis. * A newly written chapter devoted to distributions and differential equations. * Updated material on Hausdorff dimension and fractal dimension.