Электронная книга: Vigirdas Mackevicius «Integral and Measure. From Rather Simple to Rather Complex»

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 8928.02 руб и скачать на Litres

Другие книги схожей тематики:

АвторКнигаОписаниеГодЦенаТип книги
Vigirdas MackeviciusIntegral and Measure. From Rather Simple to Rather ComplexThis 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… — John Wiley&Sons Limited, Подробнее...
8928.02электронная 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

  • AGRICULTURAL LAND-MANAGEMENT METHODS AND IMPLEMENTS IN ANCIENT EREẒ ISRAEL — Ereẓ Israel is a small country with a topographically fragmented territory, each geographical region having a distinctive character of its own. These regions include: the coastal plain, the lowlands, the hilly country, the inland valleys, the… …   Encyclopedia of Judaism

  • soap and detergent — ▪ chemical compound Introduction       substances that, when dissolved in water, possess the ability to remove dirt (detergent) from surfaces such as the human skin, textiles, and other solids. The seemingly simple process of cleaning a soiled… …   Universalium

  • List of fictional elements, materials, isotopes and atomic particles — This list contains chemical elements, materials, isotopes or (sub)atomic particle that exist primarily in works of fiction (usually fantasy or science fiction). No actual periodic elements end in ite , though many minerals have names with this… …   Wikipedia

  • nature, philosophy of — Introduction       the discipline that investigates substantive issues regarding the actual features of nature as a reality. The discussion here is divided into two parts: the philosophy of physics and the philosophy of biology.       In this… …   Universalium

  • education — /ej oo kay sheuhn/, n. 1. the act or process of imparting or acquiring general knowledge, developing the powers of reasoning and judgment, and generally of preparing oneself or others intellectually for mature life. 2. the act or process of… …   Universalium


Поделиться ссылкой на выделенное

Прямая ссылка:
Нажмите правой клавишей мыши и выберите «Копировать ссылку»

We are using cookies for the best presentation of our site. Continuing to use this site, you agree with this.