eBook - ePub

Set, Measure and Probability Theory

Name: Set, Measure and Probability Theory
ISBN: 9781003808978

Marcelo S. Alencar,

Raphael T. Alencar,

276 pages
English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

Set, Measure and Probability Theory

Marcelo S. Alencar,

Raphael T. Alencar,

About this book

This book introduces the basic concepts of set theory, measure theory, the axiomatic theory of probability, random variables and multidimensional random variables, functions of random variables, convergence theorems, laws of large numbers, and fundamental inequalities. The idea is to present a seamless connection between the more abstract advanced set theory, the fundamental concepts from measure theory, and integration, to introduce the axiomatic theory of probability, filling in the gaps from previous books and leading to an interesting, robust and, hopefully, self-contained exposition of the theory.

This book also presents an account of the historical evolution of probability theory as a mathematical discipline. Each chapter presents a short biography of the important scientists who helped develop the subject. Appendices include Fourier transforms in one and two dimensions, important formulas and inequalities and commented bibliography. Many examples, illustrations and graphics help the reader understand the theory.

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Yes, you can access Set, Measure and Probability Theory by Marcelo S. Alencar,Raphael T. Alencar in PDF and/or ePUB format, as well as other popular books in Mathematics & Probability & Statistics. We have over one million books available in our catalogue for you to explore.