Baroness Thatcher was honoured with a ceremonial funeral at St Paul's Cathedral in the presence of the Queen and dignitaries.
Historians Dr Roland Quinalt and Dr Eliza Filby give their views on how history will remember Thatcher less emotively than we do today.
All you need to know about the transport closures for tomorrow's funeral.
In a speech that roved across a wide-range of national policy areas, London Mayor Boris Johnson claimed that the former premier would back his plans for an airport in the Thames estuary.
He insisted she would row back on the decision under her tenure to cancel plans for a third airport in the capital.
In his What Would Thatcher do? speech, he said:
"Does anyone doubt that she would have the cojones to rectify that second mistake, and give this country the 24 hour hub airport, with four runways, that it needs? When she was in power there were flights from Heathrow to more destinations than from any other European airport."Would she sit back and watch the rest of them eat our lunch - the French and the Dutch and the Spanish, the Finns, for heaven's sake, who now send more flights to China than we do?
– BORIS JOHNSON, MAYOR OF LONDON
"She would understand that the plane is the 21st century means of travel, and the vital importance of connectivity to her vision of Britain: open, free-trading, as turned to Asia and Latin America as it is to its traditional markets."She would see that the best place to build that airport would be to the east of the city, which is, indeed, the area with the biggest potential for new homes."
London Mayor Boris Johnson has likened himself to Margaret Thatcher in a speech suggesting their approach would be "one and the same."
The Mayor said he would be in unison with the former Conservative prime minister on the way to tackle key problems Britain faces, such as housing, taxation, education, airport capacity. Giving the annual Centre for Policy Studies Margaret Thatcherlecture in London he said:
"I realise that there may be some confusion in my prescriptions between what I would do, what Maggie would do, and what the Government is about to do or is indeed already doing, did we but know it."I don't think it much matters, because the three are likely to turn out to be one and the same."
Baroness Thatcher's ashes were laid to rest today in the grounds of the Royal Hospital Chelsea.
Members of her family including her children attended a short church service in the chapel of the central London site before a solid oak casket containing her ashes was placed in the ground.
A headstone bearing the simple inscription "Margaret Thatcher 1925 - 2013" was being erected on top of her final resting place in the leafy grounds of the hospital.The country's first female prime minister died aged 87 on April 8.
Twelve Chelsea Pensioners dressed in their distinctive scarlet coats formed a guard of honour as her ashes were placed alongside those of her husband Sir Denis, who died in 2003.Prayers were said by hospital chaplain the Reverend Richard Whittington as her family members comforted one another.
Magnificent send-off for Margaret Thatcher. Rightly so for longest-serving British PM of 20th Century. RIP.
Chancellor George Osborne tweeted that today was " a moving, almost overwhelming day".
A moving, almost overwhelming day.
Osborne was earlier seen wiping away a tear during an anecdote told by the Bishop of London at Margaret Thatcher's funeral.
– Commander Christine Jones
We would like to thank Londoners and visitors to the city for their co-operation today, particularly in relation to travel disruptions. We are also grateful to those members of the public who spoke with us prior to the event and enabled us to facilitate their peaceful protest in a way which did not impact either their protest or those who wished to pay their respects.It is as ever testament to the public that yet another large scale ceremonial event, viewed by the world's media, has been successful.
All roads closed for Baroness Thatcher's funeral have now reopened.
Former chief policy adviser to Margaret Thatcher, John Redwood, described her as "the best boss I ever had".
"We had to work very long hours to keep up with her," he said.
Fighting back tears he said:
The most moving moment inside the cathedral was when they opened up the great doors and we could hear the noise outside.
It was exactly the kind of tribute you would hope for - we are grieving a loss but also commemorating a life well-led, an extraordinarily active life.
Asked about protests, he simply said: "It is a free country."
Protesters in Ludgate Circus near St Paul's cathedral booed and jeered as Thatcher's funeral procession made its way past. Many chanted: "Waste of money" whilst war veterans on the other side of the street applauded and cheered.