Lebesgue integral [electronic resource]

• 作者： Florescu, Liviu C.
• 其他作者：
  • SpringerLink (Online service)
• 其他題名：
  • Compact textbooks in mathematics.
• 出版： Cham : Springer International Publishing :Imprint: Birkhauser
• 叢書名： Compact textbooks in mathematics,
• 主題： Lebesgue integral. , Real Functions.
• ISBN： 9783030601638 (electronic bk.) 、 9783030601621 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Introduction -- Measurable functions -- Lebesgue integral -- The Lp spaces -- Lebesgue integral on R2 -- Signed measures -- Appendices -- Bibliography -- Index.
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• 摘要註: 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.
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