Mathematics

Master Bayesian Inference through Practical Examples and Computation - Without Advanced Mathematical AnalysisBayesian methods of inference are deeply natural and extremely powerful. However, most discussions of Bayesian inference rely on intensely co

Going beyond the conventional mathematics of probability theory, this study views the subject in a wider context. It discusses new results, along with applications of probability theory to a variety of problems. The book contains many exercises and i

This book is an introduction to probability and mathematical statistics intended for students already having some elementary mathematical background.This book is both a tutorial and a textbook. This book presents an introduction to probability and ma

This book is a classic introduction to probability theory covering laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a comprehensive treatment concentrating on the re

This book offers an introduction to concepts of probability theory, probability distributions relevant in the applied sciences, as well as basics of sampling distributions, estimation and hypothesis testing. As a companion for classes for engineers a

This is a 'first course' in the sense that it presumes no previous course in probability. The units are numbered as they appear in the text, although of course they may be used in any desired order. For those who wish to use the order of the text, an

This introduction to more advanced courses in probability and real analysis emphasizes the probabilistic way of thinking, rather than measure-theoretic concepts.Geared toward advanced undergraduates and graduate students, its sole prerequisite is cal

This book introduces students to probability, statistics, and stochastic processes. It can be used by both students and practitioners in engineering, various sciences, finance, and other related fields. It provides a clear and intuitive approach to t

The book is a beautiful introduction to probability theory at the beginning level. The book contains a lot of examples and an easy development of theory without any sacrifice of rigor, keeping the abstraction to a minimal level. It is indeed a valuab

This book and its companion (part II) present the elements of analysis and linear algebra used in financial models and in microeconomics. Functions of one and several variables and matrices are developed in part I and vector spaces, linear mappings a