Measure and Integration

Name: Measure and Integration
Brand: Springer, Berlin
SKU: 9783032246639
Price: 334.13 PLN
Availability: PreOrder

An Introductory Path Toward Functional Analysis and Probability

Autor: Steen Thorbjørnsen

Język:

Oprawa: Twarda

Wydawca: Springer, Berlin

Dostępność: Oczekiwana premiera

Wydanie 11. 09. 2026

334.13 zł

This textbook provides a thorough exposition of measure and integration theory in a style that is ve...

Informacje o książce

Autor

Steen Thorbjørnsen

Język

Angielski

Oprawa

Książka - Twarda

Data wydania

2026

strony

574

EAN

9783032246639

Enbook ID

51534935

Wydawca

Springer, Berlin

Wymiary

155 x 235

Pełny opis

This textbook provides a thorough exposition of measure and integration theory in a style that is very detailed and thus easy to follow and understand. While breaking down argumentation to simple steps and maintaining a consistent exposition, the book presents the theory on a high level of scientific rigor and generality.

Although the book covers a wide spectrum of topics, it leads to a path in functional analysis and probability theory. Thus, a full chapter on measures with densities, including Lebesgue decomposition and Radon-Nikodym's theorem, is included, as well as a chapter on transformation of measures, which is a crucial topic in probability theory. Chapters on Hilbert spaces and the Fourier transform prepare the way for a direction in functional analysis. The book features also a presentation of the Cauchy-Stieltjes transform, which is an alternative to the Fourier transform and highly used in some branches of mathematics, like mathematical physics and random matrix theory.

The textbook has been tested for more than a decade in classrooms. Its style is particularly aimed at students who prefer a step-by-step approach, making it suitable for self-study as well. Appendices that cover all needed background material on real numbers, countability and metric spaces, are provided.

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An Introductory Path Toward Functional Analysis and Probability

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