Электронная книга: Vigirdas Mackevicius «Integral and Measure. From Rather Simple to Rather Complex»
|
This book is devoted to integration, one of the two main operations in calculus. In Part 1, the definition of the integral of a one-variable function is different (not essentially, but rather methodically) from traditional definitions of Riemann or Lebesgue integrals. Such an approach allows us, on the one hand, to quickly develop the practical skills of integration as well as, on the other hand, in Part 2, to pass naturally to the more general Lebesgue integral. Based on the latter, in Part 2, the author develops a theory of integration for functions of several variables. In Part 3, within the same methodological scheme, the author presents the elements of theory of integration in an abstract space equipped with a measure; we cannot do without this in functional analysis, probability theory, etc. The majority of chapters are complemented with problems, mostly of the theoretical type. The book is mainly devoted to students of mathematics and related specialities. However, Part 1 can be successfully used by any student as a simple introduction to integration calculus. Издательство: "John Wiley&Sons Limited"
ISBN: 9781119037385 электронная книга Купить за 10458.35 руб и скачать на Litres |
Другие книги автора:
| Книга | Описание | Год | Цена | Тип книги |
|---|---|---|---|---|
| Introduction to Stochastic Analysis. Integrals and Differential Equations | This is an introduction to stochastic integration and stochastic differential equations written in an understandable way for a wide audience, from students of mathematics to practitioners in biology… — John Wiley&Sons Limited, электронная книга Подробнее... | электронная книга |
См. также в других словарях:
Integral — This article is about the concept of integrals in calculus. For the set of numbers, see integer. For other uses, see Integral (disambiguation). A definite integral of a function can be represented as the signed area of the region bounded by its… … Wikipedia
Complex measure — In mathematics, specifically measure theory, a complex measure generalizes the concept of measure by letting it have complex values. In other words, one allows for sets whose size (length, area, volume) is a complex number. Contents 1 Definition… … Wikipedia
Viet Cong and PAVN battle tactics — Soldier of a NLF/Viet Cong Main Force Unit. They shared common arms, procedures, tactics, organization and personnel with PAVN. Viet Cong and PAVN battle tactics comprised a flexible mix of guerrilla and conventional warfare battle tactics used… … Wikipedia
Mathematics and Physical Sciences — ▪ 2003 Introduction Mathematics Mathematics in 2002 was marked by two discoveries in number theory. The first may have practical implications; the second satisfied a 150 year old curiosity. Computer scientist Manindra Agrawal of the… … Universalium
Monothelitism and Monothelites — • A modification of Monophysitism proposing that Christ had no human free will. Rejected by the Third Council of Constantinople (680) Catholic Encyclopedia. Kevin Knight. 2006. Monothelitism and Monothelites Monot … Catholic encyclopedia
Eigenvalues and eigenvectors — For more specific information regarding the eigenvalues and eigenvectors of matrices, see Eigendecomposition of a matrix. In this shear mapping the red arrow changes direction but the blue arrow does not. Therefore the blue arrow is an… … Wikipedia
