Overview

In calculus, we integrate functions using two types of integration -- definite integration and indefinite integration. In functional analysis, we integrate operators. To find a solution of a differential equation, we integrate this equation. Going beyond mathematics, we see that in databases, we integrate data, as well as database schemas. In electronics, integrated circuits have become central components of computers, calculators, cellular phones, and other digital appliances, which are now inextricable parts of the structure of modern societies. In economics, we have integration of the economy of one country into the economy of a union of other countries, eg: integration of economy of Hungary into the European Union economy. There is political integration and there is social integration. Thus, we can see many types and kinds of integration. Design of complex database schemas is based on a gradual integration of external schemas. Research presented in this book studies integration in mathematics and its applications. However, it is not only classical integration of functions but also fuzzy integration, integration of structures, probability as integration of random characteristics and integral operators in bundles with a hyperspace base.

Full Product Details

Author:   Mark Burgin
Publisher:   Nova Science Publishers Inc
Imprint:   Nova Science Publishers Inc
Dimensions:   Width: 18.00cm , Height: 3.00cm , Length: 26.00cm
Weight:   1.220kg
ISBN:  

9781626184688

ISBN 10:   1626184682
Pages:   418
Publication Date:   01 July 2013
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Available To Order  
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Table of Contents

Preface; Modified Numerical Integral Formula for Unequal Sub-Intervals Using Cubic Spline; Fuzzy Integral-Based T- & S-Evaluators: Sugeno Integral; Fuzzy Integral-Based T- & S-Evaluators: Shilkret & Choquet Integrals; Named Sets & Integration of Structures; Integration in Bundles with a Hyperspace Base: Indefinite Integration; On a New Integral Operator in a Complex Domain; Abstract Gauge Integral; A Criterion for the Saks-Heinstok Lemma in a Topological Vector Space; Nonlinear Cauchy-Kowalewski Theorem in Extrafunctions; Existence of Solutions for Fractional Integral Inclusions with Time Delay; Length of Ray Images under Analytic Maps; Generalized Quotients & Laplace Transform; Nonsquare Constants of Orlicz Sequence Spaces; An Extension of Stiltjes Transform; Introduction to Conditional Hyperprobabilities; Negative Probabilities in Modeling Random Financial Processes; Some Models for Standard & Assisted Cell Mutations; The Irreducible Three & Four-State Markov Process; Sequential Hypothesis Testing with Spatially Correlated Count Data; Topological Structure of Information Channels & Channel Operators; The Entropy Functional's & the Information Path Functionals Basics with the Thermodynamics & Cooperative Information Dynamics Applications; An Integral Equation Approach to the Static Analysis of Stiffened Plates: Application to Concrete or to Composite Steel-Concrete Structures; Index.

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