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The subject of conformal mappings is a major part of geometric function theory that gained prominence after the publication of the Riemann mapping theorem - for every simply connected domain of the extended complex plane there is a univalent and meromorphic function that maps such a domain conformally onto the unit disk.

Due to the growing need of introduction of numerical methods in engineering to solve boundary value problems, many engineering and mathematics graduate curricula now include courses in both finite and boundary element methods. Traditionally numerical methods have always been mathematically oriented.

This book discusses the mathematical analysis created around the Bieberbach conjecture, which is responsible for the development of many beautiful aspects of complex analysis, especially in the geometric-function theory of univalent functions. The book covers novel techniques for solving problems in the complex plane, proves the de Branges theor

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With more than 200 illustrations, this book explains how sinusoids and Fourier transforms are used in a variety of application areas, including signal processing, GPS, optics, x-ray crystallography, radioastronomy, poetry and music as sound waves, and the medical sciences. The book discusses electromagnetic force and sychrotron radiation comprising all kinds of waves. It also covers topics of common interest, such as quasars, pulsars, the Big ...

Conformal Inequalities and the Bieberbach Conjecture. This book discusses the mathematical analysis created around the Bieberbach conjecture, which is responsible for the development of many beautiful aspects of complex analysis, especially in the geometric-function theory of univalent functions. The book covers novel techniques for solving problems in the complex plane, proves the de Branges theorem, and presents Weinsteins alternative proof....

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Incorporates the fourth version of the software package Mathematica (4.x). This title includes a section of Mathematica projects in each chapter, a chapter on Green's functions, a chapter on boundary value problems, and material on inverse operators, Legendre functions, and Bessel functions.

This self-contained text provides a sufficient theoretical basis to understand Green¿s function method, which is used to solve initial and boundary value problems involving linear ODEs and PDEs. It presents a variety of approaches, including classical and general variations of parameters, Wronskian method, Bernoulli¿s separation method, integral transform method, method of images, conformal mapping method, and interpolation method. The text al...

Discusses quadrature rules for finite and infinite range integrals and their applications in differential and integral equations, Fourier integrals and transforms, Hartley transforms, fast Fourier and Hartley transforms, and Laplace transforms and wavelets. This book is suitable for applied mathematicians, scientists, and engineers.

This book discusses the mathematical analysis created around the Bieberbach conjecture, which is responsible for the development of many beautiful aspects of complex analysis, especially in the geometric-function theory of univalent functions. The book covers novel techniques for solving problems in the complex plane, proves the de Branges theor

A Complete Treatment of Current Research Topics in Fourier Transforms and Sinusoids Sinusoids: Theory and Technological Applications explains how sinusoids and Fourier transforms are used in a variety of application areas, including signal processing, GPS, optics, x-ray crystallography, radioastronomy, poetry and music as sound waves, and the medical sciences. With more than 200 illustrations, the book discusses electromagnetic force and sychr...

Written primarily for senior undergraduate and graduate students, this book makes the subject of coding theory easy to understand. With a simple yet rigorous analytic and computational approach, it explains each code, describing applications as well as advantages and disadvantages. More advanced readers will appreciate the discussion of modern developments in coding theory and the coverage of stochastic processes. Robust and self-contained, th...

Many engineering and mathematics graduate curricula include a course in boundary element methods. Such a course must cover numerical methods, basic methodology to real problems, and interactive computer usage. This textbook provides both theory and applications, necessary for applied courses.