The Theory of Lebesgue Measure and Integration:
The Theory of Lebesgue Measure and Integration deals with the theory of Lebesgue measure and integration and introduces the reader to the theory of real functions. The subject matter comprises concepts and theorems that are now considered classical, including the Yegorov, Vitali, and Fubini theorems...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Kent
Elsevier Science
2014
|
| Series: | International Series in Pure and Applied Mathematics
v.15 |
| Subjects: | |
| Online Access: | FAW01 |
| Summary: | The Theory of Lebesgue Measure and Integration deals with the theory of Lebesgue measure and integration and introduces the reader to the theory of real functions. The subject matter comprises concepts and theorems that are now considered classical, including the Yegorov, Vitali, and Fubini theorems. The Lebesgue measure of linear sets is discussed, along with measurable functions and the definite Lebesgue integral.Comprised of 13 chapters, this volume begins with an overview of basic concepts such as set theory, the denumerability and non-denumerability of sets, and open sets and closed sets on the real line. The discussion then turns to the theory of Lebesgue measure of linear sets based on the method of M. Riesz, together with the fundamental properties of measurable functions. The Lebesgue integral is considered for both bounded functions - upper and lower integrals - and unbounded functions. Later chapters cover such topics as the Yegorov, Vitali, and Fubini theorems; convergence in measure and equi-integrability; integration and differentiation; and absolutely continuous functions. Multiple integrals and the Stieltjes integral are also examined.This book will be of interest to mathematicians and students taking pure and applied mathematics |
| Item Description: | Description based on publisher supplied metadata and other sources |
| Physical Description: | 1 online resource (177 pages) |
| ISBN: | 9781483280332 9780080095257 |
Staff View
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| 520 | |a The Theory of Lebesgue Measure and Integration deals with the theory of Lebesgue measure and integration and introduces the reader to the theory of real functions. The subject matter comprises concepts and theorems that are now considered classical, including the Yegorov, Vitali, and Fubini theorems. The Lebesgue measure of linear sets is discussed, along with measurable functions and the definite Lebesgue integral.Comprised of 13 chapters, this volume begins with an overview of basic concepts such as set theory, the denumerability and non-denumerability of sets, and open sets and closed sets on the real line. The discussion then turns to the theory of Lebesgue measure of linear sets based on the method of M. Riesz, together with the fundamental properties of measurable functions. The Lebesgue integral is considered for both bounded functions - upper and lower integrals - and unbounded functions. Later chapters cover such topics as the Yegorov, Vitali, and Fubini theorems; convergence in measure and equi-integrability; integration and differentiation; and absolutely continuous functions. Multiple integrals and the Stieltjes integral are also examined.This book will be of interest to mathematicians and students taking pure and applied mathematics | ||
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Record in the Search Index
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| dewey-full | 515.43 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043615415 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:30:54Z |
| institution | BVB |
| isbn | 9781483280332 9780080095257 |
| language | English |
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| spelling | Hartman, S. Verfasser aut The Theory of Lebesgue Measure and Integration Kent Elsevier Science 2014 © 1961 1 online resource (177 pages) txt rdacontent c rdamedia cr rdacarrier International Series in Pure and Applied Mathematics v.15 Description based on publisher supplied metadata and other sources The Theory of Lebesgue Measure and Integration deals with the theory of Lebesgue measure and integration and introduces the reader to the theory of real functions. The subject matter comprises concepts and theorems that are now considered classical, including the Yegorov, Vitali, and Fubini theorems. The Lebesgue measure of linear sets is discussed, along with measurable functions and the definite Lebesgue integral.Comprised of 13 chapters, this volume begins with an overview of basic concepts such as set theory, the denumerability and non-denumerability of sets, and open sets and closed sets on the real line. The discussion then turns to the theory of Lebesgue measure of linear sets based on the method of M. Riesz, together with the fundamental properties of measurable functions. The Lebesgue integral is considered for both bounded functions - upper and lower integrals - and unbounded functions. Later chapters cover such topics as the Yegorov, Vitali, and Fubini theorems; convergence in measure and equi-integrability; integration and differentiation; and absolutely continuous functions. Multiple integrals and the Stieltjes integral are also examined.This book will be of interest to mathematicians and students taking pure and applied mathematics Integrals, Generalized Mikusinski, J. Sonstige oth Sneddon, I. N. Sonstige oth Stark, M. Sonstige oth Ulam, S. Sonstige oth Erscheint auch als Druck-Ausgabe Hartman, S . The Theory of Lebesgue Measure and Integration |
| spellingShingle | Hartman, S. The Theory of Lebesgue Measure and Integration Integrals, Generalized |
| title | The Theory of Lebesgue Measure and Integration |
| title_auth | The Theory of Lebesgue Measure and Integration |
| title_exact_search | The Theory of Lebesgue Measure and Integration |
| title_full | The Theory of Lebesgue Measure and Integration |
| title_fullStr | The Theory of Lebesgue Measure and Integration |
| title_full_unstemmed | The Theory of Lebesgue Measure and Integration |
| title_short | The Theory of Lebesgue Measure and Integration |
| title_sort | the theory of lebesgue measure and integration |
| topic | Integrals, Generalized |
| topic_facet | Integrals, Generalized |
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