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The real analysis lifesaver: all the tools you need to understand proofs/ Raffi Grinberg.

By: Grinberg, RaffiMaterial type: Text

TextPublication details: Princeton: Princeton University Press, 2017Description: 193p : ill ; 26 cmISBN: 9780691173870 ; 9780691172934 Subject(s): Mathematical analysis | Functions of real variables | Numbers, RealDDC classification: 515.8

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.

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
General Books	Central Library, Sikkim University	515.8 GRI/R (Browse shelf(Opens below))	Available		48403

Total holds: 0

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Previous	515.8 BOU/E Elements of mathematics functions of a real variable: elementary theory/	515.8 DAV/R Real Analysis and Applications/	515.8 DAV/R Real Analysis and Applications/ theory in practice	515.8 GRI/R The real analysis lifesaver: all the tools you need to understand proofs/	515.8 HEW/ Real and abstract analysis: a modern treatment of the theory of functions of a real variable/	515.8 HEW/R Real and abstract analysis: a modern treatment of the theory of functions of a real variable /	515.8 PON/R Real Analysis for the Undergraduate/ with an invitation to functional analysis	Next

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.

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