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Set, Measure and Probability Theory

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Product Code: 9788770228473
ISBN13: 9788770228473
Condition: New
$147.72
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.


Author: Marcelo S. Alencar, Raphael Tavares de Alencar
Publisher: River Publishers
Publication Date: Mar 12, 2024
Number of Pages: NA pages
Language: English
Binding: Hardcover
ISBN-10: 8770228477
ISBN-13: 9788770228473

Set, Measure and Probability Theory

$147.72
 
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.


Author: Marcelo S. Alencar, Raphael Tavares de Alencar
Publisher: River Publishers
Publication Date: Mar 12, 2024
Number of Pages: NA pages
Language: English
Binding: Hardcover
ISBN-10: 8770228477
ISBN-13: 9788770228473
 

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