My personal opinion...
Read William O'neill and subscribe to Investors Business Daily.
Read books by Elder, Van Tharp, and Douglas for the psychological side, creating a trading plan, expectation, etc.
Read Technical Analysis of Stock Trends by Edwards and MaGee, for a basic foundation in technical analysis.
Read Stock Traders Almanac, for thoughts on Timing the market.
Read thru the threads in this forum!
Beyond that you can expand your reading to how others make $ in the stock market... Books about Warren Buffet, Cramer's books, Market Wizards, Trader Vic, Larry Williams, Bernie Shaeffer, etc.
If you are young with small $, then stick your money into a index fund and then start reading/researching.
If you are looking to trade right away, rather than invest long term, then do your reading first, and add books like The Master Swing Trader by Farley, and Tools and Tactics for the Master Day Trader by Velez and Capra.
A few Personal Finance suggestions...
The Automatic Millionaire by David Bach
Rich Dad Poor Dad by Kiyosaki
The Millionaire Next Door by Stanley & Danko
The Truth about Money by Ric Edelman
Fundamentals:
Damodaran on Valuation : Second Edition