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A primer of real functions / / Ralph P. Boas [[electronic resource]]
| A primer of real functions / / Ralph P. Boas [[electronic resource]] |
| Autore | Boas Ralph P (Ralph Philip), <1912-1992> |
| Edizione | [Fourth edition.] |
| Pubbl/distr/stampa | Washington : , : Mathematical Association of America, , 1996 |
| Descrizione fisica | 1 online resource (xiv, 305 pages) : digital, PDF file(s) |
| Disciplina | 515/.8 |
| Collana | The Carus mathematical monographs |
| Soggetto topico | Functions of real variables |
| ISBN | 1-61444-013-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface to the fourth edition -- Preface to the third edition -- [ch.] 1. Sets -- 1. Sets -- 2. Sets of real numbers -- 3. Countable and uncountable sets -- 4. Metric spaces -- 5. Open and closed sets -- 6. Dense and nowhere dense sets -- 7. Compactness -- 8. Convergence and completeness -- 9. Nested sets and Baire's theorem -- 10. Some applications of Baire's theorem -- 11. Sets of measure zero -- [c.h.] 2. Functions -- 12. Functions -- 13. Continuous functions -- 14. Properties of continuous functions -- 15. Upper and lower limits -- 16. Sequences of functions -- 17. Uniform convergence -- 18. Point wise limits on continuous functions -- 19. Approximations to continuous functions -- 20. Linear functions -- 21. Derivaties -- 22. Monotonic functions -- 23. Convex functions -- 24. Infinitely differentiable functions -- [ch.] 3. Integration -- 25. Lebesgue measure -- 26. Measurable functions -- 27. Definition of the Lebesgue integral -- 28. Properties of Lebesgue integrals -- 29. Applications of the Lebesgue integral -- 30. Stieltjes integrals -- 31. Applications of the Stieltjes integral -- 32. Partial sums of infinite series -- Answers to exercises -- Index. |
| Record Nr. | UNINA-9910786846003321 |
Boas Ralph P (Ralph Philip), <1912-1992>
|
||
| Washington : , : Mathematical Association of America, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A primer of real functions / / Ralph P. Boas [[electronic resource]]
| A primer of real functions / / Ralph P. Boas [[electronic resource]] |
| Autore | Boas Ralph P (Ralph Philip), <1912-1992> |
| Edizione | [Fourth edition.] |
| Pubbl/distr/stampa | Washington : , : Mathematical Association of America, , 1996 |
| Descrizione fisica | 1 online resource (xiv, 305 pages) : digital, PDF file(s) |
| Disciplina | 515/.8 |
| Collana | The Carus mathematical monographs |
| Soggetto topico | Functions of real variables |
| ISBN | 1-61444-013-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface to the fourth edition -- Preface to the third edition -- [ch.] 1. Sets -- 1. Sets -- 2. Sets of real numbers -- 3. Countable and uncountable sets -- 4. Metric spaces -- 5. Open and closed sets -- 6. Dense and nowhere dense sets -- 7. Compactness -- 8. Convergence and completeness -- 9. Nested sets and Baire's theorem -- 10. Some applications of Baire's theorem -- 11. Sets of measure zero -- [c.h.] 2. Functions -- 12. Functions -- 13. Continuous functions -- 14. Properties of continuous functions -- 15. Upper and lower limits -- 16. Sequences of functions -- 17. Uniform convergence -- 18. Point wise limits on continuous functions -- 19. Approximations to continuous functions -- 20. Linear functions -- 21. Derivaties -- 22. Monotonic functions -- 23. Convex functions -- 24. Infinitely differentiable functions -- [ch.] 3. Integration -- 25. Lebesgue measure -- 26. Measurable functions -- 27. Definition of the Lebesgue integral -- 28. Properties of Lebesgue integrals -- 29. Applications of the Lebesgue integral -- 30. Stieltjes integrals -- 31. Applications of the Stieltjes integral -- 32. Partial sums of infinite series -- Answers to exercises -- Index. |
| Record Nr. | UNINA-9910809490003321 |
|
Boas Ralph P (Ralph Philip), <1912-1992>
|
||
| Washington : , : Mathematical Association of America, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||