Overview
- Provides an approach to the theory starting from real numbers
- Includes original exercises that highlight interesting aspects of the theory
- Presents elegant proofs
Part of the book series: Compact Textbooks in Mathematics (CTM)
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Table of contents (7 chapters)
Keywords
About this book
This book presents a compact and self-contained introduction to the theory of measure and integration. The introduction into this theory is as necessary (because of its multiple applications) as difficult for the uninitiated. Most measure theory treaties involve a large amount of prerequisites and present crucial theoretical challenges. By taking on another approach, this textbook provides less experienced readers with material that allows an easy access to the definition and main properties of the Lebesgue integral.
The book will be welcomed by upper undergraduate/early graduate students who wish to better understand certain concepts and results of probability theory, statistics, economic equilibrium theory, game theory, etc., where the Lebesgue integral makes its presence felt throughout. The book can also be useful to students in the faculties of mathematics, physics, computer science, engineering, life sciences, as an introduction to a more in-depth study of measure theory.
Authors and Affiliations
About the author
Liviu C. Florescu is Professor Emeritus at University "Al.I.Cuza" Iasi, Romania.
Bibliographic Information
Book Title: Lebesgue Integral
Authors: Liviu C. Florescu
Series Title: Compact Textbooks in Mathematics
DOI: https://doi.org/10.1007/978-3-030-60163-8
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Softcover ISBN: 978-3-030-60162-1Published: 26 February 2021
eBook ISBN: 978-3-030-60163-8Published: 25 February 2021
Series ISSN: 2296-4568
Series E-ISSN: 2296-455X
Edition Number: 1
Number of Pages: XI, 215
Number of Illustrations: 8 b/w illustrations, 1 illustrations in colour
Topics: Real Functions