1 option
Introduction to Measure Theory and Functional Analysis / by Piermarco Cannarsa, Teresa D'Aprile.
Springer Nature - Springer Mathematics and Statistics eBooks 2015 English International Available online
View online- Format:
- Book
- Author/Creator:
- Cannarsa, Piermarco., Author.
- D'Aprile, Teresa., Author.
- Series:
- La Matematica per il 3+2, 2038-5722 ; 89
- Language:
- English
- Subjects (All):
- Measure theory.
- Functional analysis.
- Probabilities.
- Economics, Mathematical.
- Mathematical physics.
- Physics.
- Measure and Integration.
- Functional Analysis.
- Probability Theory and Stochastic Processes.
- Quantitative Finance.
- Mathematical Applications in the Physical Sciences.
- Mathematical Methods in Physics.
- Local Subjects:
- Measure and Integration.
- Functional Analysis.
- Probability Theory and Stochastic Processes.
- Quantitative Finance.
- Mathematical Applications in the Physical Sciences.
- Mathematical Methods in Physics.
- Physical Description:
- 1 online resource (XIV, 314 p. 8 illus., 1 illus. in color.)
- Edition:
- 1st ed. 2015.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2015.
- Language Note:
- English
- Summary:
- 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:
- 1 Part I Measure and Integration
- 2 Part II Functional Analysis
- 3 Part III Selected Topics
- 4 Appendices
- 5 Index.
- Notes:
- Bibliographic Level Mode of Issuance: Monograph
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 3-319-17019-8
- OCLC:
- 914467842
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.