Introduction to measure theory and functional analysis
著者
書誌事項
Introduction to measure theory and functional analysis
（Collana unitext, v. 89 . La matematica per il 3+2）
Springer, c2015
- : [pbk.]
- タイトル別名
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Introduzione alla teoria della misura e all'analisi funzionale
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注記
"Translation from the Italian language edition: Introduzione alla teoria della misura e all'analisi funzionale, Piermarco Cannarsa and Teresa D'Aprile, cSpringer-Verlag Italia, Milano 2008."--T.p. verso
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
1 Part I Measure and Integration.- 2 Part II Functional Analysis.- 3 Part III Selected Topics.- 4 Appendices.- 5 Index.
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