书目名称 | Lebesgue Integral | 编辑 | Liviu C. Florescu | 视频video | | 概述 | Provides an approach to the theory starting from real numbers.Includes original exercises that highlight interesting aspects of the theory.Presents elegant proofs | 丛书名称 | Compact Textbooks in Mathematics | 图书封面 |  | 描述 | .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.. | 出版日期 | Textbook 2021 | 关键词 | Lebesgue measure; Lebesgue integral; Riemann; real functions; measure and integration; Lp spaces | 版次 | 1 | doi | https://doi.org/10.1007/978-3-030-60163-8 | isbn_softcover | 978-3-030-60162-1 | isbn_ebook | 978-3-030-60163-8Series ISSN 2296-4568 Series E-ISSN 2296-455X | issn_series | 2296-4568 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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