Elements of Abstract Analysis /
While there are many books on functional analysis, Elements of Abstract Analysis takes a very different approach. Unlike other books, it provides a comprehensive overview of the elementary concepts of analysis while preparing students to cross the threshold of functional analysis. The book is writte...
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| Format: | eBook |
| Language: | English |
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London :
Springer London,
2002.
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| Series: | Springer undergraduate mathematics series.
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | While there are many books on functional analysis, Elements of Abstract Analysis takes a very different approach. Unlike other books, it provides a comprehensive overview of the elementary concepts of analysis while preparing students to cross the threshold of functional analysis. The book is written specifically for final-year undergraduate students who should already be familiar with most of the mathematical structures discussed - for example, rings, linear spaces, and metric spaces - and with many of the principal analytical concepts - convergence, connectedness, continuity, compactness and completeness. It reviews the concepts at a slightly greater level of abstraction and enables students to understand their place within the broad framework of set-based mathematics. Carefully crafted, clearly written and precise, and with numerous exercises and examples, Elements of Abstract Analysis is a rigorous, self-contained introduction to functional analysis that will also serve as a text on abstract mathematics. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (XII, 298 pages 6 illustrations) |
| ISBN: | 9781447101796 (electronic bk.) 1447101790 (electronic bk.) |