An introduction to Fortran programming specifically for social science statistical and routine data processing is provided. The first two sections of the manual describe the components of computer hardware and software. Topics include input, output, and mass storage devices; central memory; central processing unit; internal storage of data; and monitors, compilers, and Fortran programs. Section 3 describes the essentials of Fortran that are available in all compilers: the statement format, starting and stopping the program, and order of execution. Sections 4, 5, and 6 detail Fortran statements used to process data stored in the computer memory. These sections provide technical information on constants, variables, and arrays; expression and assignment statements; and control statements and loops. Section 7 explains statements that are used to transfer information between central memory and external media, such as punch cards, the printed page, and mass storage devices. Section 8 contains five sample exercises that begin with a simple problem which is gradually extended and complicated. Sections 9 and 10 describe subprograms and outline common problems in social science data processing. The manual assumes the characteristics of a CDC 6000 or Cyber series machine. Important differences between CDC and IBM Fortran are noted, however. A summary of Fortran statements concludes the document. (KC)