Applied and Computational Complex Analysis, Volume 3

Applied and Computational Complex Analysis, Volume 3
Author: Peter Henrici
Publisher: John Wiley & Sons
Total Pages: 660
Release: 1993-04-16
Genre: Mathematics
ISBN: 9780471589860

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
Author: Peter Henrici
Publisher: John Wiley & Sons
Total Pages: 704
Release: 1988-02-23
Genre: Mathematics
ISBN: 9780471608417

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 2

Applied and Computational Complex Analysis, Volume 2
Author: Peter Henrici
Publisher: Wiley-Interscience
Total Pages: 682
Release: 1991-03-21
Genre: Mathematics
ISBN:

A self-contained presentation of the major areas of complex analysis that are referred to and used in applied mathematics and mathematical physics. Topics discussed include infinite products, ordinary differential equations and asymptotic methods.

Complex Analysis

Complex Analysis
Author: Eberhard Freitag
Publisher: Springer Science & Business Media
Total Pages: 553
Release: 2006-01-17
Genre: Mathematics
ISBN: 3540308237

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

Collected Papers Of Stephen Smale, The (In 3 Volumes) - Volume 3

Collected Papers Of Stephen Smale, The (In 3 Volumes) - Volume 3
Author: Roderick S C Wong
Publisher: World Scientific
Total Pages: 659
Release: 2000-06-30
Genre: Mathematics
ISBN: 9814493074

This invaluable book contains the collected papers of Stephen Smale. These are divided into eight groups: topology; calculus of variations; dynamics; mechanics; economics; biology, electric circuits and mathematical programming; theory of computation; miscellaneous. In addition, each group contains one or two articles by world leaders on its subject which comment on the influence of Smale's work, and another article by Smale with his own retrospective views.

Visual Complex Analysis

Visual Complex Analysis
Author: Tristan Needham
Publisher: Oxford University Press
Total Pages: 620
Release: 1997
Genre: Mathematics
ISBN: 9780198534464

This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.

Complex Analysis

Complex Analysis
Author: Teodor Bulboacǎ
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 422
Release: 2019-07-08
Genre: Mathematics
ISBN: 3110657864

This book is an in-depth and modern presentation of important classical results in complex analysis and is suitable for a first course on the topic, as taught by the authors at several universities. The level of difficulty of the material increases gradually from chapter to chapter, and each chapter contains many exercises with solutions and applications of the results, with the particular goal of showcasing a variety of solution techniques.

Complex Analysis III

Complex Analysis III
Author: Carlos A. Berenstein
Publisher: Springer
Total Pages: 369
Release: 2006-11-14
Genre: Mathematics
ISBN: 3540478930

Integral Equation Methods for Evolutionary PDE

Integral Equation Methods for Evolutionary PDE
Author: Lehel Banjai
Publisher: Springer Nature
Total Pages: 283
Release: 2022-11-08
Genre: Mathematics
ISBN: 3031132203

This book provides a comprehensive analysis of time domain boundary integral equations and their discretisation by convolution quadrature and the boundary element method. Properties of convolution quadrature, based on both linear multistep and Runge–Kutta methods, are explained in detail, always with wave propagation problems in mind. Main algorithms for implementing the discrete schemes are described and illustrated by short Matlab codes; translation to other languages can be found on the accompanying GitHub page. The codes are used to present numerous numerical examples to give the reader a feeling for the qualitative behaviour of the discrete schemes in practice. Applications to acoustic and electromagnetic scattering are described with an emphasis on the acoustic case where the fully discrete schemes for sound-soft and sound-hard scattering are developed and analysed in detail. A strength of the book is that more advanced applications such as linear and non-linear impedance boundary conditions and FEM/BEM coupling are also covered. While the focus is on wave scattering, a chapter on parabolic problems is included which also covers the relevant fast and oblivious algorithms. Finally, a brief description of data sparse techniques and modified convolution quadrature methods completes the book. Suitable for graduate students and above, this book is essentially self-contained, with background in mathematical analysis listed in the appendix along with other useful facts. Although not strictly necessary, some familiarity with boundary integral equations for steady state problems is desirable.

Handbook of Complex Analysis

Handbook of Complex Analysis
Author: Reiner Kuhnau
Publisher: Elsevier
Total Pages: 876
Release: 2004-12-09
Genre: Mathematics
ISBN: 0080495176

Geometric Function Theory is that part of Complex Analysis which covers the theory of conformal and quasiconformal mappings. Beginning with the classical Riemann mapping theorem, there is a lot of existence theorems for canonical conformal mappings. On the other side there is an extensive theory of qualitative properties of conformal and quasiconformal mappings, concerning mainly a prior estimates, so called distortion theorems (including the Bieberbach conjecture with the proof of the Branges). Here a starting point was the classical Scharz lemma, and then Koebe's distortion theorem. There are several connections to mathematical physics, because of the relations to potential theory (in the plane). The Handbook of Geometric Function Theory contains also an article about constructive methods and further a Bibliography including applications eg: to electroxtatic problems, heat conduction, potential flows (in the plane). · A collection of independent survey articles in the field of GeometricFunction Theory · Existence theorems and qualitative properties of conformal and quasiconformal mappings · A bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane).