18.100B Analysis I, Fall 2002

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...

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Bibliographic Details
Main Author: Melrose, Richard B.
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Learning Object
Language:en-US
Published: 2002
Subjects:
Online Access:http://hdl.handle.net/1721.1/37329
Description
Summary: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.