Hi all!

My name is Raymond, I'm a soon to be master's graduate in EE at TUM, 
specializing particularly in the slightly more mathematical aspects of EE. 
I do an intermediate to advanced level of Python programming, and though am 
a new user of Sage (~3 months), I'm rapidly picking up. 

During my coursework, I was introduced to measure theory, when looking at 
notions of probability in terms of communication systems - took a couple of 
graduate level courses in similar abstract mathematics, and soon I found 
myself fascinated with number theory.

Anyways, I'm looking to get seriously involved with working on this 
fascinating project. To get started, I have a few questions:

1. From Meta-Ticket 17716, I couldn't understand the example 2, (4 * n2 * t 
+ 3 * n * t2 + O(n)) + (O(n2 * t3/2)) evaluates to (3 * n * t2 + O(n2 * t3/2
)).      
Highly likely that this is something basic, but despite reading the 
explanation below, I couldn't quite get a hang of it. So, are there 
pointers to any mathematical primers - courses, lectures, etc, online which 
would be most relevant to this project that you could point me to?

2. I would like to get a top-level view of the 3 points envisaged within 
this project 

   1. 
   
   *Advanced operations with asymptotic expressions*
   2. 
   
   *Implement mutlivariate growth groups*
   3. 
   
   *Interplay with existing Sage-Objects ("User-Interface")*
   
Any pointers on as to how to get started - getting a top-level overview of 
each of these aspects?

3. And finally, I thought one of the aspects was really quite exciting - in 
point 2 above. This is to do with multivariate variables with 
dependencies.Any pointers to modelling these as well?


Thanks in advance for your time! :-) 
Raymond

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