Overview
- Interesting and enjoyable reading, even to a non expert readers
- Each proposition presents clear and complete logical passages
- Topics are introduced starting from simple concepts and then gradually go through more complex steps
Part of the book series: UNITEXT (UNITEXT, volume 125)
Part of the book sub series: La Matematica per il 3+2 (UNITEXTMAT)
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Table of contents (14 chapters)
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Front Matter
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Sets
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Front Matter
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Borel Sets and Baire Functions on $$\mathbb {R}$$ R
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Front Matter
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Borel Sets and Baire Functions on R
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Families of Sets
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Front Matter
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Measure Theory
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Front Matter
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Theory of integration
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Front Matter
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Fundamental theorems of integral calculus on $$\mathbb {R}$$ R
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Front Matter
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Fundamental theorems of integral calculus on R
Keywords
About this book
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.
Authors and Affiliations
About the author
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.
Bibliographic Information
Book Title: Measure, Integration and a Primer on Probability Theory
Book Subtitle: Volume 1
Authors: Stefano Gentili
Translated by: Simon G. Chiossi
Series Title: UNITEXT
DOI: https://doi.org/10.1007/978-3-030-54940-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020
Softcover ISBN: 978-3-030-54939-8Published: 01 December 2020
eBook ISBN: 978-3-030-54940-4Published: 30 November 2020
Series ISSN: 2038-5714
Series E-ISSN: 2532-3318
Edition Number: 1
Number of Pages: XI, 463
Number of Illustrations: 5 b/w illustrations, 16 illustrations in colour
Topics: Measure and Integration, Fourier Analysis, Functional Analysis, Probability Theory and Stochastic Processes