Foundations of Constructive Probability Theory

Livro digital

Título:
Foundations of Constructive Probability Theory

Autor:
Yuen-Kwok Chan

Categoria:
Tecnologia > Geral

Doador:
Raffaello D. N.

Sinopse:
Constructive probability often feels abstract until the structure of the subject becomes visible, and this book makes that structure explicit from the start. Its table of contents moves from Introduction and Preliminaries into partitions of unity, integration and measure, then probability spaces, so the reader sees a path from constructive foundations to the core machinery of probability. The scope is broader than a standard probability text. After the foundational chapters, the contents expand into random fields, stochastic processes, martingales, almost-sure continuity and càdlàg processes, and then Markov processes, transition distributions, semigroups, and Brownian motion. The appendix adds the inverse function theorem, change of variables, and Taylor’s theorem, which signals a mathematically serious treatment with supporting analytical tools. The result is a rigorous guide for readers who want probability built on constructive principles rather than taken for granted. It is especially valuable for mathematicians and advanced students looking for a coherent bridge between constructive analysis, measure-theoretic probability, and stochastic process theory.