Measure, Integration and a Primer on Probability Theory

The text contains detailed and complete proofs and includes instructive historical introductions to key chapters. These serve to illustrate the hurdles faced by the scholars that developed the theory, and allow the novice to approach the subject from a wider angle, thus appreciating the human side of major figures in Mathematics. The style in which topics are addressed, albeit informal, always maintains a rigorous character. The attention placed in the careful layout of the logical steps of proofs, the abundant examples and the supplementary remarks disseminated throughout all contribute to render the reading pleasant and facilitate the learning process. The exposition is particularly suitable for students of Mathematics, Physics, Engineering and Statistics, besides providing the foundation essential for the study of Probability Theory and many branches of Applied Mathematics, including the Analysis of Financial Markets and other areas of Financial Engineering.

Stefano Gentili got his degree in Economics at Università Politecnica delle Marche, specialising in econometrics and financial markets analysis. He is currently manager in a town council of Marche region and he has authored two books concerning “finance in Italy’s local governments”. Among his main interests we can mention the econometric analysis of general systems, the development of forecasting models, the use of Mathematical Analysis tools for research and development in Economic Analysis.