Labour leader Ed Miliband praised Baroness Thatcher for "breaking the mould".
“At each stage of her life she broke the mould - a woman at Oxford, when there was no a single woman in the university who held a full professorship.
"A woman chemist when most people assumed scientists had to be men, a woman candidate for Parliament in 1950 against the opposition of some in her party in Dartford at the age of only 24, a woman MP in 1959 when just 4% of MPs in the whole of this House were women."
Books of condolences for Baroness Thatcher are to be opened at Guildhall and St Margaret's Church, Westminster.
Others had already been placed in the Finchley and Golders Green Conservative Association, as well as the museum in her home town of Grantham.
Cabinet Office minister Francis Maude chaired another meeting today to co-ordinate funeral arrangements.
Details of how much her estate has contributed towards the funeral will be revealed after the ceremony, Downing Street has said.
Details of Baroness Thatcher's funeral next Wednesday have been released by the government.
The working title for the funeral's operational plan is 'True Blue'.
Next Wednesday, flags on government buildings and UK embassies around the world will be lowered to half-mast at sunrise (8am) and raised again at sunset (8pm).
UKIP leader Nigel Farage has signed a book of condolence for Baroness Thatcher in her hometown Grantham and said the former Prime Minister had "fundamentally changed my life."
Conor Burns MP, a close friend of Margaret Thatcher's who visited her regularly, told ITV News that he was "delighted" that some had seen her death as a cause for celebration because "the hatred that burns in their hearts...is actually an enormous tribute to her...they hate her because she won".
The funeral of Baroness Thatcher should be in accordance with what her family wants, Cabinet Office minister Francis Maude has said.
The family have been involved over a long period.
We’ve been concerned throughout that they should be involved and that the arrangements that are made – which obviously involve huge numbers of people and a wide range of organisations - should be in accordance with what the family themselves want.
Although people all around the world and particularly those who knew her well are feeling a loss today, the people who feel the greatest loss are clearly their family.
A book of condolence for Margaret Thatcher has also been opened by South Kesteven District Council.
It contains a mixture of comments, some of a more controversial nature.
Former Conservative MP Louise Mensch told ITV's This Morning that Margaret Thatcher "gave you this overwhelming sense that women could do anything".
The Queen and Duke of Edinburgh will attend Margaret Thatcher's funeral, Buckingham Palace said.
A weekly newspaper in Lincolnshire has created a tribute website to the former Prime Minister following her death.
Baroness Thatcher died from a stroke aged 87 yesterday - but the death of the woman who dominated post-war British politics had a particular local resonance in the town of Grantham, where she was born as Margaret Roberts in 1925.
The Grantham Journal has already created a tribute website from the paper's archives with pieces about her various aspects of her life and is planning to publish a 16-page supplement in Friday’s paper.