All sensible investors recommend investing using some mix of the two techniques. Some recommend a highly value based strategy and some a more technical based strategy. Both methods have merit: value based techniques give preference to the fundamentals of a company, its income statement, balance sheet and various ratios that can be calculated from information published by and about companies. The technical methods base their strategies on the underlying psychology of investment decisions and their affects on price movements. In spite of it's premise, a surprising number of investors do use technical methods when deciding when to buy and sell stock (often in conjuction with value based methods). This effect is so large that many claim that it works because so many people believe in it.
A Random Walk Down Wall Street, Malkiel, Burton G. This is the bible for the fundamentalists. If you read only one investment book this is a good place to start. Some of the specific techniques are a bit dated, but it is a sound introduction to investment.
Market Wizards, Schwager, Jack D. This book and the the following one he wrote: The New Market Wizards, offer a serier of chapters about successful investors who use a wide range of techniques. The author then tries to draw lessons from the interviews and distill it into a trading strategy. The books provide a good overview of many trading techniques, though there are few detailed recommendations for particular trading methods. That said, I highly recommend reading at least one of his books.
Peter Lynch is a popular author for the non-professional trader and one of the few who actually offer good advice. He has written a number of books filled with practical tips. Two of his titles are:
For the beginning trader this and the Motley Fool (see below) are probably the best and most accessible sources of information.
Investment Psychology Explained, Pring, Martin, J. The guru of the technicians, Pring explains the psychology behind resistance levels and the other signals used by the technical investors. His most famous book is Technical Analysis Explained, which is the bible on the subject.
Motley Fool. http://www.fool.com. This is a web site started by two brothers who wanted to test their non-conventional trading techniques. They set up a web site, wrote a couple of books and have attracted a large following. Their basic premise is that you should invest in some on the top Dow Jones stocks based on various ratios that can easily be calculated from their annual reports and earnings announcements. They claim their methods actually beat market indexes.
The Alchemy of Finance, Soros, George. Soros is one of the richest investors on earth and made most of his money currency trading. He is famous for 'breaking the Bank of England' and getting rich in the process. This book explains his personal philosophy of how markets move. It is rather abstract and he attempts to apply it not only to the market but to world politics as well. You will not learn any specific investment techniques from the book. In spite of this it is still quite interesting.
Liar's Poker, A supposedly true account of bond trading during the junk bonds days. Describes some of the eccentric behavior of bond traders and the excesses caused by their large bonuses.
Bombardiers, Bronsen, Po. A humorous fictional account of a trading desk.
Where are the Customers Yachts? A cynical view of stock trading, in particular the greed of investment advisors and brokers is exposed.
Anything by and about Warren Buffet. Buffet is a self made billionaire who made his money using value based investment. He does not follow fad and only invests in business he can understand. The annual reports of his company, Berkshire Hathaway (which can be downloaded for free) are recommended reading by many authorities.
Good luck!