The field is the progeny of Charles Dow of Dow Jones fame and the founder of the "Wall Street Journal". He devised a method to discern cyclical patterns in share prices. Other sages - such as Elliott - put forth complex "wave theories". Technical analysts now regularly employ dozens of geometric configurations in their divinations.
Technical analysis is defined thus in "The Econometrics of Financial Markets", a 1997 textbook authored by John Campbell, Andrew Lo, and Craig MacKinlay:
"An approach to investment management based on the belief that historical price series, trading volume, and other market statistics exhibit regularities - often ... in the form of geometric patterns ... that can be profitably exploited to extrapolate future price movements."
A less fanciful definition may be the one offered by Edwards and Magee in "Technical Analysis of Stock Trends":
"The science of recording, usually in graphic form, the actual history of trading (price changes, volume of transactions, etc.) in a certain stock or in 'the averages' and then deducing from that pictured history the probable future trend."
Fundamental analysis is about the study of key statistics from the financial statements of firms as well as background information about the company's products, business plan, management, industry, the economy, and the marketplace.