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Can I read Measure Theory and Probability Theory on EtoBox?
Measure Theory and Probability Theory by Krishna B. Athreya Soumendra N. Lahiri is a nonfiction available to read on EtoBox.
What is Measure Theory and Probability Theory about?
This book arose out of two graduate courses that the authors have taughtduring the past several years; the first one being on measure theory followedby the second one on advanced probability theory.The traditional approach to a first course in measure theory, such as inRoyden (1988), is to teach the Lebesgue measure on the real line, then thedifferentation theorems of Lebesgue, L p -spaces on R, and do general mea-sure at the end of the course with one main application to the constructionof product measures. This approach does have the pedagogic advantageof seeing one concrete case first before going to the general one. But thisalso has the disadvantage in making many students’ perspective on mea-sure theory somewhat narrow. It leads them to think only in terms of theLebesgue measure on the real line and to believe that measure theory isintimately tied to the topology of the real line. As students of statistics,probability, physics, engineering, economics, and biology know very well,there are mass distributions that are typically nonuniform, and hence it isuseful to gain a general perspective.This book attempts to provide that general perspective right from thebeginning. The openin
Who reads Measure Theory and Probability Theory?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Krishna B. Athreya Soumendra N. Lahiri
- Published
- 2006
- Language
- EN
- Category
- nonfiction
- Subjects
- Mathematics, Mathematical Theory, Stem