Introduction to Abstract Mathematics
Introduction to Abstract Mathematics focuses on the principles, approaches, and operations involved in abstract mathematics, including metric spaces, sets, axiom systems, and open sentences. The book first offers information on logic and set theory, natural numbers, and integers and rational numbers...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Saint Louis
Elsevier Science
2014
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| Schlagworte: | |
| Online-Zugang: | FAW01 |
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| Zusammenfassung: | Introduction to Abstract Mathematics focuses on the principles, approaches, and operations involved in abstract mathematics, including metric spaces, sets, axiom systems, and open sentences. The book first offers information on logic and set theory, natural numbers, and integers and rational numbers. Discussions focus on rational numbers and ordered fields, ordering, arithmetic, axiom systems and methods of proof, functions of kindred matters, ordered pairs and relations, sets, and statements and open sentences. The text then examines real and complex numbers, metric spaces, and limits. Topics include generalized limits, continuous functions, openness, closedness, and neighborhood systems, definition and basic properties, and construction of R. The publication is a vital reference for mathematicians and students interested in abstract mathematics |
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| Beschreibung: | Description based on publisher supplied metadata and other sources |
| Beschreibung: | 1 online resource (232 pages) |
| ISBN: | 9781483276595 9780120958504 |