TY  - BOOK
AU  - Cannarsa,Piermarco
AU  - D'Aprile,Teresa
ED  - SpringerLink (Online service)
TI  - Introduction to Measure Theory and Functional Analysis
T2  - UNITEXT,
SN  - 9783319170190
AV  - QA312-312.5 
U1  - 515.42 23
PY  - 2015///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - mathematics
KW  - Functional analysis
KW  - Measure theory
KW  - Economics, Mathematical
KW  - Mathematical physics
KW  - Probabilities
KW  - physics
KW  - Mathematics
KW  - Measure and Integration
KW  - Functional Analysis
KW  - Probability Theory and Stochastic Processes
KW  - Quantitative Finance
KW  - Mathematical Applications in the Physical Sciences
KW  - Mathematical Methods in Physics
N1  - 1 Part I Measure and Integration -- 2 Part II Functional Analysis -- 3 Part III Selected Topics -- 4 Appendices -- 5 Index
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-319-17019-0
ER  -