The real analysis lifesaver : all the tools you need to understand proofs /
"Real analysis is difficult. For most students, in addition to learning new material about real numbers, topology, and sequences, they are also learning to read and write rigorous proofs for the first time. The Real Analysis Lifesaver is an innovative guide that helps students through their fir...
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| Format: | Book |
| Language: | English |
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Princeton :
Princeton University Press,
[2017]
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| Series: | Princeton lifesaver study guide.
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| Subjects: |
Table of Contents:
- Preliminaries. Introduction ; Basic Math and Logic ; Set Theory
- Real Numbers. Least Upper Bounds ; The Real Field ; Complex Numbers and Euclidean Spaces
- Topology. Bijections ; Countability ; Topological Definitions ; Closed and Open Sets ; Compact Sets ; The Heine-Borel Theorem ; Perfect and Connected Sets
- Sequences. Convergence ; Limits and Subsequences ; Cauchy and Monotonic Sequences ; Subsequential Limits ; Special Sequences ; Series.