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Catalogue Information
Field name	Details
Dewey Class	515.42
Title	Introduction to Measure Theory and Functional Analysis ([EBook]) / by Piermarco Cannarsa, Teresa D'Aprile.
Author	Cannarsa, Piermarco
Added Personal Name	D'Aprile, Teresa author.
Other name(s)	SpringerLink (Online service)
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2015.
Physical Details	XIV, 314 p. 8 illus., 1 illus. in color. : online resource.
Series	Unitext 2038-5714 ; ; 89
ISBN	9783319170190
Summary Note	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.:
Contents note	1 Part I Measure and Integration -- 2 Part II Functional Analysis -- 3 Part III Selected Topics -- 4 Appendices -- 5 Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-319-17019-0
Links to Related Works	Subject References: Economics, Mathematical . Functional Analysis . Mathematical Applications in the Physical Sciences . Mathematical Methods in Physics . Mathematical Physics . Mathematics . Measure and Integration . Measure theory . Physics . Probabilities . Probability theory and stochastic processes . Quantitative Finance . Authors: Cannarsa, Piermarco . D'Aprile, Teresa . Corporate Authors: SpringerLink (Online service) . Series: Unitext . Classification: 515.42 .

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Introduction to Measure Theory and Functional Analysis

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