Real Analysis
Arun Ram
Department of Mathematics and Statistics
University of Melbourne
Parkville, VIC 3010 Australia
aram@unimelb.edu.au
Last update: 8 July 2014
Lecture 1
- Location
- Announcements
- Assessment – The plan is to take exam questions directly from the problem sheets. Assignment 1 due 15 March.
- Consultation hours: 2 – 4:30 in Old Geology 1.
- Labs run in weeks 2, 3, 4, and 6.
- Text: I highly recommend the book of W. Chen.
Language of Mathematics
Assume
If then
The foundation is definitions. The explanation is proofs. It is impossible to do a proof without knowing the definitions.
Prove that
The definition of is
where
The definition of
is
which is often written
Example inside the example:
So
Welcome to Wolfram alpha.
Prove that
![](plus.gif) |
![](minus.gif) |
Proof. |
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Righthand side:
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Some more definitions:
log undoes
Notes and References
These are notes from a 2010 course on Real Analysis 620-295. This page comes from 100301Lect1.pdf and was given on 1 March 2010.
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