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Foundations of Iso-Differential Calculus

Name: Foundations of Iso-Differential Calculus
Brand: Nova Science Publishers Inc
SKU: 14262707
Price: 280.81 EUR
Availability: InStock
Author: Svetlin Georgiev
ISBN: 9781634850216

Volume 6: Theory of Iso-Functions of a Real Iso-Variable

Svetlin Georgiev

Língua

Inglês

Livro Livro de capa dura

Código Libristo: 14262707

Editoras Nova Science Publishers Inc, abril 2016

This book is intended for readers who have had a course in theory of functions, isodifferential calc... Descrição completa

Código Libristo: 14262707

682 b

280.81 €

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This book is intended for readers who have had a course in theory of functions, isodifferential calculus and it can also be used for a senior undergraduate course. Chapter One deals with the infinite sets. We introduce the main operations on the sets. They are considered as the one-to-one correspondences, the denumerable sets and the nondenumerable sets, and their properties. Chapter Two introduces the point sets. They are defined as the limit points, the interior points, the open sets, and the closed sets. Also included are the structure of the bounded open and the closed sets, and an examination of some of their main properties. Chapter Three describes the measurable sets. They are defined and deducted as the main properties of the measure of a bounded open set, a bounded closed set, and the outer and the inner measures of a bounded set. Chapter Four is devoted to the theory of the measurable iso-functions. They are defined as the main classes of the measurable iso-functions and their associated properties are defined as well. In Chapter Five, the Lebesgue iso-integral of a bounded iso-function continue the discussion of the book. Their main properties are given. In Chapter Six the square iso-summable iso-functions, the iso-orthogonal systems, the iso-spaces Lp and l p, p 1 are studied. The Stieltjes iso-integral and its properties are investigated in Chapter Seven.