Introduction to Measure Theory and Functional Analysis by Piermarco Cannarsa

Introduction to Measure Theory and Functional Analysis by Piermarco Cannarsa

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.

“This is an excellent introductory text on measure theory and integration, with a very good presentation of two fundamental aspects of functional analysis: Hilbert spaces and Banach spacesThe material is presented at a level accessible for a graduate student in mathematics or a researcher in another, related discipline. … Each section contains a large number of examples and exercises accompanied by generous hints.” (Victoria R. Steblovskaya, Mathematical Reviews, June, 2016)

“This book, written by leading experts, is a well-crafted textbook covering a medley of relevant topics in measure theory and functional analysis in a rather get-to-the-point-quickly fashion, yet resulting in a very readable and enjoyable journey. … The book manages to cover quite a lot of ground in a relatively short number of pages strewn with plenty of exercises. … All-in-all, the student reading this book stands to gain much knowledge, develop and hone her skills, and enjoy the trip.” (Ittay Weiss, MAA Reviews, maa.org, April, 2016)

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

SKU	Nicht verfügbar
ISBN 13	9783319170183
ISBN 10	331917018X
Titel	Introduction to Measure Theory and Functional Analysis
Autor	Piermarco Cannarsa
Serie	Unitext
Buchzustand	Nicht verfügbar
Bindungsart	Paperback
Verlag	Springer International Publishing AG
Erscheinungsjahr	2015-05-13
Seitenanzahl	314
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.