TY - BOOK AU - Grinberg,Raffi TI - The real analysis lifesaver: all the tools you need to understand proofs SN - 9780691173870 U1 - 515.8 PY - 2017/// CY - Princeton: PB - Princeton University Press, KW - Mathematical analysis KW - Functions of real variables KW - Numbers, Real N1 - 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 ER -