Question: A Presidential Traverse is a strenuous and sometimes dangerous trek over the Presidential Range of New Hampshire's White Mountains, beginning the journey at the northern end at which mountain, in the Presidential Range of New Hampshire in the United States?

Context paragraphs:
Mount Jackson (New Hampshire): Mount Jackson is a mountain located in Coos County, New Hampshire.  The mountain is named after Charles Thomas Jackson, New Hampshire's state geologist in the 19th century, and is part of the Presidential Range of the White Mountains.  Mount Jackson is flanked to the north by Mount Pierce, and to the southwest by Mount Webster.

Mount Eisenhower: Mount Eisenhower (formerly Mount Pleasant) is a mountain in the Presidential Range in the White Mountains of New Hampshire approximately 4760 ft high.  Named after President Dwight D. Eisenhower, its summit offers a 360° view of New Hampshire's mountains.  It is inaccessible by road.

Mount Madison: Mount Madison is a mountain in the Presidential Range of New Hampshire in the United States.  It is named after the fourth U.S. President, James Madison.

List of people who died on the Presidential Range: The Presidential Range in the White Mountains of New Hampshire consist of a series of mountains whose maximum elevation reaches 6288 ft .  This range represents some of the highest mountains in the United States east of the Mississippi River.  Fatalities in this area are dominated by those that occur on Mount Washington, the highest summit in the range.  It is notorious for its unpredictable weather, making it one of the deadliest mountains in the continental United States.  Due to its unique location relative to other geographic features, it holds the world record for highest recorded surface wind speed not within a tropical cyclone.  The New Hampshire Fish and Game Department conducts an average of 180 rescues a year for hikers in need of assistance.

Carter-Moriah Range: The Carter-Moriah Range of mountains is located in the White Mountains, in Coos County, New Hampshire.  The range forms the northern east side of Pinkham Notch, opposite the northern Presidential Range.  The range is also referred to as the Carter Range.

Presidential Range: The Presidential Range is a mountain range located in the White Mountains of the U.S. state of New Hampshire.  Containing the highest peaks of the Whites, its most notable summits are named for American presidents, followed by prominent public figures of the 18th and 19th centuries.  The Presidential Range is notorious for having some of the worst weather on Earth, mainly because of the unpredictability of high wind speeds and whiteout conditions on the higher summits.  Because of the poor weather conditions, the Presidential Range is often used for mountaineering training for those who go on to climb some of the world's highest mountains, including K2 and Everest.

Carroll, New Hampshire: Carroll is a town in Coos County, New Hampshire, United States.  The population was 763 at the 2010 census.  The two largest villages are Twin Mountain and Bretton Woods.  Carroll is an important access point for recreational areas in the White Mountains, including many 4,000-footers, the Zealand River area, the Presidential Range, and the Presidential Dry River Wilderness.  The town is crossed by the Appalachian Trail and is home to the Mount Washington Hotel at Bretton Woods.  It is also home to the Highland Center at Crawford Notch, the Appalachian Mountain Club's four-season lodge.

Franconia Range: The Franconia Range is a mountain range located in the White Mountains of the U.S. state of New Hampshire.  It is the second-highest range of peaks (after the Presidential Range) in the White Mountains.

Mount Monroe: Mount Monroe is a 5372 ft mountain peak southwest of Mount Washington in the Presidential Range of the White Mountains in New Hampshire, United States.  It is named for American President James Monroe and is the fourth highest mountain on the 4000 footers list for New Hampshire.  The Appalachian Trail skirts its summit, which is the next highest peak on or near the trail north of Mount Rogers in Virginia.  The Lakes of the Clouds, and its AMC hut, lie nestled at the col between Mount Monroe and neighboring Mount Washington.

Presidential Traverse: A Presidential Traverse is a strenuous and sometimes dangerous trek over the Presidential Range of New Hampshire's White Mountains.  Contained almost entirely in the 750000 acre White Mountain National Forest, the Presidential Range is a string of summits in excess of 4000 ft .  To complete the traverse, one must begin at either the northern or southern terminus of the Presidential Range and finish at the opposing end.  Beginning the journey at the northern end at Mount Madison, one would pass through the townships of (in order, going in a generally south-southwesterly direction) Low and Burbank's Grant, Thompson and Meserve's Purchase, Sargent's Purchase, Chandler's Purchase, and Bean's Purchase (at Mount Pierce), all of which are in Coös County.

Supporting paragraphs: Presidential Traverse Mount Madison
Answer: Mount Madison