[ls65536]

Two more I would recommend in addition to Lansing's that focus more on different specific aspects of that expedition are "Shackleton's Boat Journey" by Frank Worsley (who served as captain of Endurance) and "Shackleton's Heroes: The Epic Story of the Men Who Kept the Endurance Expedition Alive" by Wilson McOrist.

I think anyone with an interest in sailing or maritime navigation will appreciate Worsley's first-hand account of the crossing from Elephant Island to South Georgia in a modified lifeboat[0]. Worsley covers the subsequent crossing of South Georgia's mountainous interior in great detail as well.

And often left out from popular accounts is mention of the Ross Sea Party[1], who endured terrible conditions on the other side of the Antarctic continent to ensure that Shackleton and his crew would have had enough supplies to survive the final stretches coming from the other side of the continent.

[0] https://en.wikipedia.org/wiki/Voyage_of_the_James_Caird

[1] https://en.wikipedia.org/wiki/Ross_Sea_party

[bacon_waffle]

"Shackleton's Forgotten Men" is a good book on the Ross Sea Party. I've spent a bit of time on the Ice and done some Southern Ocean sailing (neither in the same league as these early explorers, obviously), and think their story is at least on par with the Endurance side's.

"Shackleton's Argonauts" by Frank Hurley (photographer of Endurance) is another good one if you can find a copy.