Piermarco Cannarsa, Teresa D'Aprile, "Introduction to
Measure Theory and Functional Analysis"
ISBN: 331917018X | 2015 | EPUB | 314 pages | 7 MB
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.
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