Introduction to Measure Theory and Functional Analysis

2015
ISBN: 978-3-319-17018-3
Verlag: Springer International Publishing

Buch, Englisch, Band 89, 314 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 4978 g

Reihe: UNITEXT

This book introduces readers to theories that play a crucial role in modern mathematics, such as integration and functional analysis, employing a unifying approach that views these two subjects as being deeply intertwined. This feature is particularly evident in the broad range of problems examined, the solutions of which are often supported by generous hints. If the material is split into two courses, it can be supplemented by additional topics from the third part of the book, such as functions of bounded variation, absolutely continuous functions, and signed measures.

This textbook addresses the needs of graduate students in mathematics, who will find the basic material they will need in their future careers, as well as those of researchers, who will appreciate the self-contained exposition which requires no other preliminaries than basic calculus and linear algebra.

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

D'Aprile, Teresa

Cannarsa, Piermarco

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

1 Part I Measure and Integration.- 2 Part II Functional Analysis.- 3 Part III Selected Topics.- 4 Appendices.- 5 Index.

Über Autor(innen)

Prof. Piermarco Cannarsa, Full professor in Mathematical Analysis, Dept. of Mathematics, Università degli Studi di Roma "Tor Vergata", via della Ricerca Scientifica 1, 00133 Roma, Italy and Italian coordinator of the European Research Group (GDRE) on "Control of Partial Differential Equations" (CONEDP) issued by CNRS, INdAM and Universite' de Provence.

Prof. Teresa D'Aprile, Dept. of Mathematics, Università degli Studi di Roma "Tor Vergata", via della Ricerca Scientifica 1, 00133 Roma, Italy