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Introduction to Measure Theory and Functional Analysis
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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
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Mathematical Methods in Physics
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Mathematical Physics
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Mathematics
.
Measure and Integration
.
Measure theory
.
Physics
.
Probabilities
.
Probability theory and stochastic processes
.
Quantitative Finance
.
Authors:
Cannarsa, Piermarco
.
D'Aprile, Teresa
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Corporate Authors:
SpringerLink (Online service)
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Series:
Unitext
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Classification:
515.42
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