“Toy Story,” for example, took four years to make while Pixar struggled, yet Mr. Jobs never let up on his colleagues. “‘You need a lot more than vision — you need a stubbornness, tenacity, belief and patience to stay the course,” said Edwin Catmull, a computer scientist and a co-founder of Pixar. “In Steve’s case, he pushes right to the edge, to try to make the next big step forward.”

Mr. Jobs was the ultimate arbiter of Apple products, and his standards were exacting. Over the course of a year he tossed out two iPhone prototypes, for example, before approving the third, and began shipping it in June 2007.

To his understanding of technology he brought an immersion in popular culture. In his 20s, he dated Joan Baez; Ella Fitzgerald sang at his 30th birthday party. His worldview was shaped by the ’60s counterculture in the San Francisco Bay Area, where he had grown up, the adopted son of a Silicon Valley machinist. When he graduated from high school in Cupertino in 1972, he said, “the very strong scent of the 1960s was still there.”

After dropping out of Reed College, a stronghold of liberal thought in Portland, Ore., in 1972, Mr. Jobs led a countercultural lifestyle himself. He told a reporter that taking LSD was one of the two or three most important things he had done in his life. He said there were things about him that people who had not tried psychedelics — even people who knew him well, including his wife — could never understand.

Decades later he flew around the world in his own corporate jet, but he maintained emotional ties to the period in which he grew up. He often felt like an outsider in the corporate world, he said. When discussing the Silicon Valley’s lasting contributions to humanity, he mentioned in the same breath the invention of the microchip and “The Whole Earth Catalog,” a 1960s counterculture publication.

Apple’s very name reflected his unconventionality. In an era when engineers and hobbyists tended to describe their machines with model numbers, he chose the name of a fruit, supposedly because of his dietary habits at the time.

Coming on the scene just as computing began to move beyond the walls of research laboratories and corporations in the 1970s, Mr. Jobs saw that computing was becoming personal — that it could do more than crunch numbers and solve scientific and business problems — and that it could even be a force for social and economic change. And at a time when hobbyist computers were boxy wooden affairs with metal chassis, he designed the Apple II as a sleek, low-slung plastic package intended for the den or the kitchen. He was offering not just products but a digital lifestyle.