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In order to keep the book self-contained, an introductory chapter is included with the intent to fill the gap between what the student may have learned before and what is required to fully understand the consequent text. Proofs of difficult results, such as the differentiability property of functions of bounded variations, are dissected into small steps in order to be accessible to students. With the exception of a few simple statements, all results are proven in the text. The presentation is elementary, where ¿-algebras are not used in the text on measure theory and Dini¿s derivatives are not used in the chapter on differentiation. However, all the main results of Lebesgue¿s theory are found in the book.
[...]
In order to keep the book self-contained, an introductory chapter is included with the intent to fill the gap between what the student may have learned before and what is required to fully understand the consequent text. Proofs of difficult results, such as the differentiability property of functions of bounded variations, are dissected into small steps in order to be accessible to students. With the exception of a few simple statements, all results are proven in the text. The presentation is elementary, where ¿-algebras are not used in the text on measure theory and Dini¿s derivatives are not used in the chapter on differentiation. However, all the main results of Lebesgue¿s theory are found in the book.
[...]
Contains all the main results of Lebesgue's theory
Accessible to both upper-undergraduate and master's students
Includes 180+ exercises with varying degrees of difficulty
Request lecturer material: [...]
| Erscheinungsjahr: | 2013 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 156 |
| Reihe: | Universitext |
| Inhalt: |
x
146 S. 16 s/w Illustr. 146 p. 16 illus. |
| ISBN-13: | 9781461471950 |
| ISBN-10: | 1461471958 |
| Sprache: | Englisch |
| Herstellernummer: | 86154667 |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: | Ovchinnikov, Sergei |
| Auflage: | 2013 |
| Hersteller: |
Springer US
Springer New York Universitext |
| Maße: | 235 x 155 x 9 mm |
| Von/Mit: | Sergei Ovchinnikov |
| Erscheinungsdatum: | 30.04.2013 |
| Gewicht: | 0,248 kg |
Contains all the main results of Lebesgue's theory
Accessible to both upper-undergraduate and master's students
Includes 180+ exercises with varying degrees of difficulty
Request lecturer material: [...]
| Erscheinungsjahr: | 2013 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 156 |
| Reihe: | Universitext |
| Inhalt: |
x
146 S. 16 s/w Illustr. 146 p. 16 illus. |
| ISBN-13: | 9781461471950 |
| ISBN-10: | 1461471958 |
| Sprache: | Englisch |
| Herstellernummer: | 86154667 |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: | Ovchinnikov, Sergei |
| Auflage: | 2013 |
| Hersteller: |
Springer US
Springer New York Universitext |
| Maße: | 235 x 155 x 9 mm |
| Von/Mit: | Sergei Ovchinnikov |
| Erscheinungsdatum: | 30.04.2013 |
| Gewicht: | 0,248 kg |
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