Kategoria BISAC: Mathematics >> Functional Analysis

Complex Analysis: Conformal Inequalities and the Bieberbach Conjecture 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. Assuming basic knowledge of complex analysis and differential equations, the book is suitable for graduate students engaged in analytical research on the topics and researchers working on related areas of complex analysis in one or more complex variables.

The author first reviews the...

The concept of higher order derivatives is useful in many branches of mathematics and its applications. As they are useful in many places, n^th order derivatives are often defined directly. Higher Order Derivatives discusses these derivatives, their uses, and the relations among them. It covers higher order generalized derivatives, including the Peano, d.l.V.P., and Abel derivatives; along with the symmetric and unsymmetric Riemann, Cesaro, Borel, L^P-, and Laplace derivatives.

Although much work has been done on the Peano and de la...

This book is devoted to a detailed development of the divergence theorem. The framework is that of Lebesgue integration no generalized Riemann integrals of Henstock Kurzweil variety are involved.

In Part I the divergence theorem is established by a combinatorial argument involving dyadic cubes. Only elementary properties of the Lebesgue integral and Hausdorff measures are used. The resulting integration by parts is sufficiently general for many applications. As an example, it is applied to removable singularities of Cauchy Riemann, Laplace, and minimal surface equations.

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 sychrotron radiation comprising all kinds of waves, including gamma rays, x-rays, UV rays, visible light rays, infrared,...

In Topics on Continua, Sergio Macias, one of the field s leading scholars, presents four of his favorite continuum topics: inverse limits, Jones s set function T, homogenous continua, and n-fold hyperspaces, and in doing so, presents the most complete set of theorems and proofs ever contained in a single topology volume. Many of the results presented have...