000			02410nam a22002417a 4500
005			20180926105831.0
008			180926b xxu||||| |||| 00| 0 eng d
020			_a9780691172934
028			_aAtlantic Publishers & Distributors (P)LTD. _b;7/22,Anasri Road, Daryaganj,New Delhi-110002 _c;1083081 _d;19/09/2018
082			_a515.8 GRI
100			_aRaffi Grinberg
245			_aThe real analysis lifesaver _b : all the tools you need to understand proofs _c/Raffi Grinberg
260			_aPrinceton _b: Princeton University Press _c, 2017
300			_a193 pages _b: illustrations _c; 26 cm.
365			_b1675
490			_aPrinceton lifesaver study guide.
505			_a 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.
520			_aReal 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 first real analysis course while giving them the solid foundation they need for further study in proof-based math. Rather than presenting polished proofs with no explanation of how they were devised, The Real Analysis Lifesaver takes a two-step approach, first showing students how to work backwards to solve the crux of the problem, then showing them how to write it up formally. It takes the time to provide plenty of examples as well as guided "fill in the blanks" exercises to solidify understanding. Newcomers to real analysis can feel like they are drowning in new symbols, concepts, and an entirely new way of thinking about math. Inspired by the popular Calculus Lifesaver, this book is refreshingly straightforward and full of clear explanations, pictures, and humor. It is the lifesaver that every drowning student needs.
650			_aMathematics
655			_aFunctions of real variables _bMathematical analysis
700			_aRaffi Grinberg
942			_cBOOK
999			_c50299 _d50299