Lebesgue Integral / by Liviu C. Florescu.

Format:

Book

Author/Creator:

Florescu, Liviu C., author.

Series:

Compact Textbooks in Mathematics, 2296-455X

Language:

English

Subjects (All):

Functions of real variables.

Real Functions.

Local Subjects:

Real Functions.

Physical Description:

1 online resource (224 pages) : illustrations

Edition:

1st ed. 2021.

Place of Publication:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2021.

Summary:

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.

Contents:

Introduction

Measurable functions

Lebesgue integral

The Lp spaces

Lebesgue integral on R2

Signed measures

Appendices

Bibliography

Index.

ISBN:

3-030-60163-3