Standard Simplified Taijiquan 24 Form. Research by Michael P. Garofalo, M.S. This webpage includes a detailed bibliography of books, media, links, online videos, articles, and resources. It provides a list of the 24 movement names in English, Chinese, French, German and Spanish, with citations for sources of the movement names. It provides detailed descriptions of each movement with black and white line illustrations and photographs. It includes relevant quotations, notes, performance times, section breakdowns, basic Tai Chi principles, and strategies for learning the form. The Peking (Bejing) Chinese National orthodox standard simplified 24 movement T'ai Chi Ch'uan form, created in 1956, is the most popular form practiced all around the world. This form uses the Yang Style of Taijiquan.
This webpage provides many good suggestions for a person learning this short form on their own if there is no Tai Chi class in their area.
There is also a famous short Tai Chi form, created by Professor Cheng Man-ch'ing in the 1940's. It has 37 movements.