Quote from stephencrowley:
These are good topics, I'm not in the habit of bothering people about specifics so I didn't inquire further.
I'm getting better at calculus, solving PDEs and soforth, mostly simply by reading lots of papers and solving stuff with maple, which is a great tool because it shows the work and helps me understand how it got from point A to point B (for some reason pencil and paper doesnt compute).
I didn't know it was called "Modern Algebra", but after doing a quick google search I've encountered most of this stuff before and am somewhat familiar with it. When I encounter notations and concepts I dont understand I just keep reading, find some references, poke around on mathworld/wikipedia...etc.. it's not hard to figure out after you learn how to use all the resources available.
Just understanding the notation/language is one thing, and then being able to have a firm grasp of the language without having to consciously think of the symbols you are seeing.. I'm improving in that area as well, it's similiar to learning any other language, soon you begin to dream the stuff and you no longer have to internally translate.
Topology is another intesting topic I've became familiar with thru the process of osmosis.. I never read any books specifically dealing with topology.. maybe I should. Do you have any recommendations?
I know nearly nothing of number theory, but it sounds interesting.
My main thrust is building up my toolset, which includes understanding, code (interface to data/order placement, easy part), analytical/computing enviornment. This is further seperated into offline analysis... exploring data that is collected online.. when models are built in the offline-environment, they must be deployed into standalone executable code . My main thrust is making all of this process is painless and easily changeable as possible and I'm quite happy with my current setup.
I've probably spent $3K on grad/post-grad level books in the past few months from many different areas of math, all of which I've gained something useful from.. so I'm no stranger to reading tought material ( probably easy material for some of you physics wizards), so I'm really looking forward to some formal study. [/QUOTE]
Volume is not a leading indicator of knowledge.
Others are commenting on symmetry in an advanced context.
Lets say, bear with me, that trading is a use of time that has some value.
Most people will agree that the value is determined by the connection of the trader to the market and the degree to which he participates.
I feel that this is the kernal that anyone can begin with and then advance themselves in the trading world.
What does this kernal of knowledge lead to? Different things for different people.
If a person chooses the route to extract the potential of the market as effectively and efficiently as possible, then he has a set of tasks that are fairly clean and which colud even get to be elegant.
Of of the keys to this effort is to make discoveries as you go along.
When my kids were going through the forms of scholastic prep every other room of their home was floor to ceiling in shelving of books according to the fields of study the books were about. they were discoverers all the while.
Books were always being made as well.
Ploughing and growing and feeding and breeding were daily chores and they lived where there were no keys for doors because there were no keyholes.
Discoveries can be made best in the absence of noise and confusion.
What tools are needed to discover how things work? My kids loved screwdrivers and cooking stuff we grew. Lisa colud hardly drag her tool box around. John cleaned the Mercedes engine weekly. She adjusted her VW valves about every month I think. John played golf about two to three inches deeper than anyone else and hs goal was to be on the green off the tee no matter what; Lisa played the same strokes where birdies were good enough; skiiing for both was straight down.
The fun in everything is knowing how it works and how to work it.
John and his cousin would never play monopoly without calculators. When they ran companies for me they used calculators too. Now, they have their own assortment.
What are you going to discover about the market? It IS going to be based upon your orientation to discovering things.
The market is unique and, it turns out symmetric in terms of variable performance. See Scoring.
The money is there being offered. You want to make money. You NEED to know how it works.
The two themes, making money and how the market works, go hand in glove. The rules for trading are set by the operators of the markets. That is, there are accounts and agreements on the accounts and a set of rules for making orders and keeping money in your account.
Its discovery time for you, I think.
Get that money out of the market into your account(s).
