Essentials of Measure Theory

Nonfiction, Science & Nature, Mathematics, Topology, Mathematical Analysis
Cover of the book Essentials of Measure Theory by Carlos S. Kubrusly, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Carlos S. Kubrusly ISBN: 9783319225067
Publisher: Springer International Publishing Publication: November 10, 2015
Imprint: Springer Language: English
Author: Carlos S. Kubrusly
ISBN: 9783319225067
Publisher: Springer International Publishing
Publication: November 10, 2015
Imprint: Springer
Language: English

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 “abstract” 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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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 “abstract” 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.

More books from Springer International Publishing

Cover of the book Thermodynamics in Nuclear Power Plant Systems by Carlos S. Kubrusly
Cover of the book Fingertip Injuries by Carlos S. Kubrusly
Cover of the book Small Modular Reactors for Electricity Generation by Carlos S. Kubrusly
Cover of the book Ultra Wideband Wireless Body Area Networks by Carlos S. Kubrusly
Cover of the book IgG4-Related Disease by Carlos S. Kubrusly
Cover of the book Innovations Lead to Economic Crises by Carlos S. Kubrusly
Cover of the book Halophytes: An Integrative Anatomical Study by Carlos S. Kubrusly
Cover of the book Knowledge Discovery, Knowledge Engineering and Knowledge Management by Carlos S. Kubrusly
Cover of the book Application of Soil Physics in Environmental Analyses by Carlos S. Kubrusly
Cover of the book EVOLVE – A Bridge between Probability, Set Oriented Numerics and Evolutionary Computation VII by Carlos S. Kubrusly
Cover of the book D. H. Lawrence, Transport and Cultural Transition by Carlos S. Kubrusly
Cover of the book Wind Towers by Carlos S. Kubrusly
Cover of the book Scottish Presbyterianism and Settler Colonial Politics by Carlos S. Kubrusly
Cover of the book Electronic Government and the Information Systems Perspective by Carlos S. Kubrusly
Cover of the book Chile in Transition by Carlos S. Kubrusly
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy