A guide to real variables / / Steven G. Krantz [[electronic resource]]
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| Autore: |
Krantz Steven G (Steven George), <1951->
|
| Titolo: |
A guide to real variables / / Steven G. Krantz [[electronic resource]]
|
| Pubblicazione: | Washington : , : Mathematical Association of America, , 2009 |
| Descrizione fisica: | 1 online resource (xvi, 147 pages) : digital, PDF file(s) |
| Disciplina: | 515.8 |
| Soggetto topico: | Functions of real variables |
| Classificazione: | 26-0126A0326A0626A0997I10 |
| Note generali: | Title from publisher's bibliographic system (viewed on 02 Oct 2015). |
| Nota di bibliografia: | Includes bibliographical references (p. 141-142) and index. |
| Nota di contenuto: | Basics -- Sequences -- Series -- The topology of the real line -- Limits and the continuity of functions -- The derivative -- The integral -- Sequences and series of functions -- Advanced topics. |
| Sommario/riassunto: | A Guide to Real Variables provides aid and conceptual support for the student studying for the qualifying exam in real variables. Beginning with the foundations of the subject, the text moves rapidly but thoroughly through basic topics like completeness, convergence, sequences, series, compactness, topology and the like. All the basic examples like the Cantor set, the Weierstrass nowhere differentiable function, the Weierstrass approximation theory, the Baire category theorem, and the Ascoli-Arzela theorem are treated. The book contains over 100 examples, and most of the basic proofs. It illustrates both the theory and the practice of this sophisticated subject. Graduate students studying for the qualifying exams will find this book to be a concise, focused and informative resource. Professional mathematicians who need a quick review of the subject, or need a place to look up a key fact, will find this book to be a useful resource too. Steven Krantz is well-known for his skill in expository writing and this volume confirms it. He is the author of more than 50 books, and more than 150 scholarly papers. The MAA has awarded him both the Beckenbach Book Prize and the Chauvenet Prize. |
| Altri titoli varianti: | Real variables |
| Titolo autorizzato: | A guide to real variables |
| ISBN: | 0-88385-916-5 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910822847503321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Dolciani mathematical expositions ; ; no. 38.
MAA guides ; ; no. 3.