Measure and Integral
The Lebesgue integral is an essential tool in the fields of analysis and stochastics and for this reason, in many areas where mathematics is applied. This textbook is a concise, lecture-tested introduction to measure and integration theory. It addresses the important topics of this theory and presen...
| Κύριοι συγγραφείς: | , |
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| Συγγραφή απο Οργανισμό/Αρχή: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2015.
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| Σειρά: | Compact Textbooks in Mathematics,
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| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Preface
- 1 Introduction
- 2 Measurability
- 3 Measures
- 4 The Integral of Nonnegative Functions
- 5 Integrable Functions
- 6 Convergence
- 7 Uniqueness and Regularity of Measures
- 8 Multiple Integrals and Product Measures
- 9 Absolute Continuity
- 10 The Transformation Formula of Jacobi
- 11 Construction of Measures
- 12 Hilbert Spaces
- 13 Banach Spaces
- Literature.
