| 书目名称 | Measure, Integral and Probability | | 编辑 | Marek Capiński,Peter Ekkehard Kopp | | 视频video | | | 概述 | Kopp is a highly respected researcher and expositor Unique approach emphasizes the reasons for studying measure theory as a gateway to probability theory through worked examples Includes useful applic | | 丛书名称 | Springer Undergraduate Mathematics Series | | 图书封面 |  | | 描述 | The central concepts in this book are Lebesgue measure and the Lebesgue integral. Their role as standard fare in UK undergraduate mathematics courses is not wholly secure; yet they provide the principal model for the development of the abstract measure spaces which underpin modern probability theory, while the Lebesgue function spaces remain the main sour ce of examples on which to test the methods of functional analysis and its many applications, such as Fourier analysis and the theory of partial differential equations. It follows that not only budding analysts have need of a clear understanding of the construction and properties of measures and integrals, but also that those who wish to contribute seriously to the applications of analytical methods in a wide variety of areas of mathematics, physics, electronics, engineering and, most recently, finance, need to study the underlying theory with some care. We have found remarkably few texts in the current literature which aim explicitly to provide for these needs, at a level accessible to current under graduates. There are many good books on modern prob ability theory, and increasingly they recognize the need for a strong grounding | | 出版日期 | Textbook 19991st edition | | 关键词 | Analysis; Integration; Measure theory; Measure-theoretic probability; Random variable; calculus; function; | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4471-3631-6 | | isbn_ebook | 978-1-4471-3631-6Series ISSN 1615-2085 Series E-ISSN 2197-4144 | | issn_series | 1615-2085 | | copyright | Springer-Verlag London 1999 |
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