Grinberg, Raffi, <br/><br/>
The real analysis lifesaver: all the tools you need to understand proofs/ 
Raffi Grinberg. 
 - Princeton:   Princeton University Press,   2017. 
 - 193p :  ill ;  26 cm. 
<br/><br/>Preliminaries. Introduction ; Basic math and logic ; Set theory --<br/>Real numbers. Least upper bounds ; The real field ; Complex numbers and Euclidean spaces --<br/>Topology. Bijections ; Countability ; Topological definitions ; Closed and open sets ; Compact sets ; The Heine-Borel Theorem ; Perfect and connected sets --<br/>Sequences. Convergence ; Limits and subsequences ; Cauchy and monotonic sequences ; Subsequential limits ; Special sequences ; Series. 
<br/><br/><label>ISBN: </label>9780691173870  9780691172934  
<br/><br/><label>Subjects--Topical Terms: </label><br/>Mathematical analysis.<br/>Functions of real variables.<br/>Numbers, Real.
<br/><br/><label>Dewey Class. No.: </label>515.8  / GRI/R