Essentials of measure theory [electronic resource] / Carlos S. Kubrusly.
2015
QA312
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Details
Title
Essentials of measure theory [electronic resource] / Carlos S. Kubrusly.
ISBN
9783319225067 electronic book
3319225065 electronic book
9783319225050
3319225057
3319225065 electronic book
9783319225050
3319225057
Published
Cham : Springer, 2015.
Language
English
Description
1 online resource
Item Number
10.1007/978-3-319-22506-7 doi
Call Number
QA312
Dewey Decimal Classification
515/.42
Summary
Classical in its approach, this textbook is thoughtfully designed and composed in two parts. Part I is meant for a one-semester beginning graduate course in measure theory, proposing an ℓ́ℓabstractℓ́ℓ approach to measure and integration, where the classical concrete cases of Lebesgue measure and Lebesgue integral are presented as an important particular case of general theory. Part II of the text is more advanced and is addressed to a more experienced reader. The material is designed to cover another one-semester graduate course subsequent to a first course, dealing with measure and integration in topological spaces. The final section of each chapter in Part I presents problems that are integral to each chapter, the majority of which consist of auxiliary results, extensions of the theory, examples, and counterexamples. Problems which are highly theoretical have accompanying hints. The last section of each chapter of Part II consists of Additional Propositions containing auxiliary and complementary results. The entire book contains collections of suggested readings at the end of each chapter in order to highlight alternate approaches, proofs, and routes toward additional results. With modest prerequisites, this text is intended to meet the needs of a contemporary course in measure theory for mathematics students and is also accessible to a wider student audience, namely those in statistics, economics, engineering, and physics. Part I may be also accessible to advanced undergraduates who fulfill the prerequisites which include an introductory course in analysis, linear algebra (Chapter 5 only), and elementary set theory.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed February 29, 2016).
Available in Other Form
Print version: 9783319225050
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