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Lectures on real analysis /
"This is a rigorous introduction to real analysis for undergraduate students, starting from the axioms for a complete ordered field and a little set theory. The book avoids any preconceptions about the real numbers and takes them to be nothing but the elements of a complete ordered field. All o...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2012.
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| Colección: | Australian Mathematical Society lecture series ;
21. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | "This is a rigorous introduction to real analysis for undergraduate students, starting from the axioms for a complete ordered field and a little set theory. The book avoids any preconceptions about the real numbers and takes them to be nothing but the elements of a complete ordered field. All of the standard topics are included, as well as a proper treatment of the trigonometric functions, which many authors take for granted. The final chapters of the book provide a gentle, example-based introduction to metric spaces with an application to differential equations on the real line. The author's exposition is concise and to the point, helping students focus on the essentials. Over 200 exercises of varying difficulty are included, many of them adding to the theory in the text. The book is perfect for second-year undergraduates and for more advanced students who need a foundation in real analysis"-- |
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| Notas: | Includes index. |
| Descripción Física: | 1 online resource (x, 117 pages) |
| ISBN: | 9781139519038 1139519034 9781139208604 1139208608 1283817926 9781283817929 9781139517171 1139517171 9781139515528 1139515527 1316090140 9781316090145 1139506358 9781139506359 1139514601 9781139514606 1139518100 9781139518109 |