LONDON (AP) -- Love her or loathe her, one thing's beyond dispute: Margaret Thatcher transformed Britain. The Iron Lady, who ruled for 11 remarkable years, imposed her will on a fractious, rundown nation -- breaking the unions, triumphing in a far-off war, and selling off state industries at a record pace. She left behind a leaner government and more prosperous nation by the time a mutiny ousted her from No. 10 Downing Street. Thatcher's spokesman, Tim Bell, said the former prime minister died from a stroke Monday morning at the Ritz hotel in London. Flags were flown at half-staff at Buckingham Palace, Parliament and Downing Street for the 87 year old. Queen Elizabeth II authorized Thatcher to have a ceremonial funeral -- a step short of a state funeral -- to be held at St. Paul's Cathedral in London with military honors. Prime Minister David Cameron cut short a trip to Madrid and Paris to return to Britain following news of Thatcher's death, and his office confirmed that Thatcher would be cremated following the ceremonial funeral. It did not provide further details, saying only the arrangements were in line with the wishes of Thatcher's family. For admirers, Thatcher was a savior who rescued Britain from ruin and laid the groundwork for an extraordinary economic renaissance. For critics, she was a heartless tyrant who ushered in an era of greed that kicked the weak out onto the streets and let the rich become filthy rich. "Let us not kid ourselves, she was a very divisive figure," said Bernard Ingham, Thatcher's press secretary for her entire term. "She was a real toughie. She was a patriot with a great love for this country, and she raised the standing of Britain abroad." Thatcher was the first -- and still only -- female prime minister in Britain's history. But she often found feminists tiresome and was not above using her handbag as a prop to underline her swagger and power. A grocer's daughter, she rose to the top of Britain's snobbish hierarchy the hard way, and envisioned a classless society that rewarded hard work and determination. She was a trailblazer who at first believed trailblazing impossible: Thatcher told the Liverpool Daily Post in 1974 that she did not think a woman would serve as party leader or prime minister during her lifetime. But once in power, she never showed an ounce of doubt. Thatcher could be intimidating to those working for her: British diplomats sighed with relief on her first official visit to Washington, D.C., as prime minister to find that she was relaxed enough to enjoy a glass of whiskey and a half-glass of wine during an embassy lunch, according to official documents. Like her close friend and political ally Ronald Reagan, Thatcher seemed motivated by an unshakable belief that free markets would build a better country than reliance on a strong, central government. Another thing she shared with the American president: a tendency to reduce problems to their basics, choose a path, and follow it to the end, no matter what the opposition. She formed a deep attachment to the man she called "Ronnie" -- some spoke of it as a schoolgirl crush. Still, she would not back down when she disagreed with him on important matters, even though the United States was the richer and vastly stronger partner in the so-called "special relationship." Thatcher was at her brashest when Britain was challenged. When Argentina's military junta seized the remote Falklands Islands from Britain in 1982, she did not hesitate, even though her senior military advisers said it might not be feasible to reclaim the islands. She simply would not allow Britain to be pushed around, particularly by military dictators, said Ingham, who recalls the Falklands War as the tensest period of Thatcher's three terms in power. When diplomacy failed, she dispatched a military task force that accomplished her goal, despite the naysayers. "That required enormous leadership," Ingham said. "This was a formidable undertaking, this was a risk with a capital R-I-S-K, and she demonstrated her leadership by saying she would give the military their marching orders and let them get on with it." In deciding on war, Thatcher overruled Foreign Office specialists who warned her about the dangers of striking back. She was infuriated by warnings about the dangers to British citizens in Argentina and the difficulty of getting support from the U.N. Security Council. "When you are at war you cannot allow the difficulties to dominate your thinking: you have to set out with an iron will to overcome them," she said in her memoir, "Downing Street Years." ''And anyway what was the alternative? That a common or garden dictator should rule over the queen's subjects and prevail by fraud and violence? Not while I was prime minister."