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An introduction to measure theory = 测度论引论 An introduction to measure theory = Ce du lun yin lun by Terence Tao著; 陶哲轩 is a nonfiction available to read on EtoBox.

What is An introduction to measure theory = 测度论引论 An introduction to measure theory = Ce du lun yin lun about?

Main subject categories: • Measure Theory • Lebesque Measure • The Lebesque Integral • Abstract Measure SpacesThis is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory.The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. Ther

Who reads An introduction to measure theory = 测度论引论 An introduction to measure theory = Ce du lun yin lun?

Author

Terence Tao著; 陶哲轩

Publisher

高等教育出版社; American Mathematical Society [AMS]

Published

2016

Language

ZH

ISBN

9787040469059

Category

nonfiction

Subjects

Mathematics, Analysis, Stem