Set, Measure and Probability Theory

Set, Measure and Probability Theory - River Publishers Series in Mathematical, Statistical and Computational Modelling for Engineering

Hardback (12 Mar 2024)

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Publisher's Synopsis

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.

Book information

ISBN: 9788770228473
Publisher: CRC Press
Imprint: River Publishers
Pub date:
DEWEY: 511.322
DEWEY edition: 23
Language: English
Number of pages: 300
Weight: 1580g
Height: 234mm
Width: 156mm
Spine width: 18mm