Back then, there was no field of computer science, no courses or schools. The first written reference to “software” as a computer term, as something distinct from hardware, did not come until 1958.

In 1953, frustrated by his experience of “hand-to-hand combat with the machine,” Mr. Backus was eager to somehow simplify programming. He wrote a brief note to his superior, asking to be allowed to head a research project with that goal. “I figured there had to be a better way,” he said.

Mr. Backus got approval and began hiring, one by one, until the team reached 10. It was an eclectic bunch that included a crystallographer, a cryptographer, a chess wizard, an employee on loan from United Aircraft, a researcher from the Massachusetts Institute of Technology and a young woman who joined the project straight out of Vassar College.

“They took anyone who seemed to have an aptitude for problem-solving skills — bridge players, chess players, even women,” Lois Haibt, the Vassar graduate, recalled in an interview in 2000.

Mr. Backus, colleagues said, managed the research team with a light hand. The hours were long but informal. Snowball fights relieved lengthy days of work in winter. I.B.M. had a system of rigid yearly performance reviews, which Mr. Backus deemed ill-suited for his programmers, so he ignored it. “We were the hackers of those days,” Richard Goldberg, a member of the Fortran team, recalled in an interview in 2000.

After Fortran, Mr. Backus developed, with Peter Naur, a Danish computer scientist, a notation for describing the structure of programming languages, much like grammar for natural languages. It became known as Backus-Naur form.

Later, Mr. Backus worked for years with a group at I.B.M. in an area called functional programming. The notion, Mr. Backus said, was to develop a system of programming that would focus more on describing the problem a person wanted the computer to solve and less on giving the computer step-by-step instructions.