Measure, integration and a primer on probability theory : volume 1
Gentili, Stefano
Measure, integration and a primer on probability theory : volume 1 - Cham, Switzerland : Springer, 2020. - xi, 463 pages : illustrations (5 b/w illustrations, 16 illustrations in colour) - Unitext - La Matematica per il 3+2, volume 125 2038-5757 .
Includes bibliographical references and index.
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.
9783030549398
Measure theory
Functional analysis
Fourier analysis
Probability theory
Real Analysis
Measure and integration theory
Probability theory and Stochastic processes
517.518.1 / GEN-M
Measure, integration and a primer on probability theory : volume 1 - Cham, Switzerland : Springer, 2020. - xi, 463 pages : illustrations (5 b/w illustrations, 16 illustrations in colour) - Unitext - La Matematica per il 3+2, volume 125 2038-5757 .
Includes bibliographical references and index.
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.
9783030549398
Measure theory
Functional analysis
Fourier analysis
Probability theory
Real Analysis
Measure and integration theory
Probability theory and Stochastic processes
517.518.1 / GEN-M
