Introduction to Measure Theory and Functional Analysis

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,...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Cannarsa, Piermarco (Autor), D'Aprile, Teresa (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:La Matematica per il 3+2, 89
Temas:
Measure theory.
Functional analysis.
Probabilities.
Social sciences-Mathematics.
Mathematical physics.
Measure and Integration.
Functional Analysis.
Probability Theory.
Mathematics in Business, Economics and Finance.
Mathematical Physics.
Mathematical Methods in Physics.
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Introduction to Measure Theory and Functional Analysis  |h [electronic resource] /  |c by Piermarco Cannarsa, Teresa D'Aprile. 
250 |a 1st ed. 2015. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2015. 
300 |a XIV, 314 p. 8 illus., 1 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
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490 1 |a La Matematica per il 3+2,  |x 2038-5757 ;  |v 89 
505 0 |a 1 Part I Measure and Integration -- 2 Part II Functional Analysis -- 3 Part III Selected Topics -- 4 Appendices -- 5 Index. 
520 |a 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. 
650 0 |a Measure theory. 
650 0 |a Functional analysis. 
650 0 |a Probabilities. 
650 0 |a Social sciences-Mathematics. 
650 0 |a Mathematical physics. 
650 1 4 |a Measure and Integration. 
650 2 4 |a Functional Analysis. 
650 2 4 |a Probability Theory. 
650 2 4 |a Mathematics in Business, Economics and Finance. 
650 2 4 |a Mathematical Physics. 
650 2 4 |a Mathematical Methods in Physics. 
700 1 |a D'Aprile, Teresa.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783319170206 
776 0 8 |i Printed edition:  |z 9783319170183 
830 0 |a La Matematica per il 3+2,  |x 2038-5757 ;  |v 89 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-319-17019-0  |z Texto Completo 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

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