18.100B Analysis I, Fall 2002
Author(s)
Melrose, Richard B.
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Alternative title
Analysis I
Metadata
Show full item recordAbstract
Two options offered, both covering fundamentals of mathematical analysis: convergence of sequences and series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, interchange of limit operations. Both options show the utility of abstract concepts and teach understanding and construction of proofs. <I>Option A</I> chooses less abstract definitions and proofs, and gives applications where possible. <I>Option B</I> is more demanding and for students with more mathematical maturity. Places greater emphasis on point-set topology.
Date issued
2002-12Other identifiers
18.100B-Fall2002
local: 18.100B
local: IMSCP-MD5-9908abcd0c08bccfaefff61dbbec8d1a
Keywords
mathematical analysis, convergence of sequences, convergence of series, continuity, differentiability, Reimann integral, uniformity, interchange of limit operations, utility of abstract concepts, construction of proofs, point-set topology, n-space, sequences of functions, series of functions, applications, real variable, metric space, sets, theorems, differentiate, differentiable, converge, uniform, 18.100B, 18.100