^ The Burma Road was but a small part of the Burma Campaign. The Indian, British, Chinese, and American forces under British Command, first defeated the Japanese attempt to capture Assam, they then recaptured northern Burma. A new road was built, from Ledo Assam, the Ledo Road which ran through Myitkyina and connected to the old Burma Road at Wandingzhen, Yunnan, China. It was not until end of January 1945 that this route was opened so that air transports in the "India-China Ferry" a.k.a. "flying the hump" were no longer the sole source of Western supplies to China.
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If you are truly interested from the British & Indian Armies perspective (all by MGen S. Woodburn Kirby , Col. G. T. Wards, Brig M. R. Roberts and N. L. Desoer) :
War Against Japan, Volume 2: India's Most Dangerous Hour. London: HMSO, 1958
War Against Japan, Volume 3: The Decisive Battles. London: HMSO, 1961
War Against Japan, Volume 4: The Reconquest of Burma. London: HMSO, 1965
War Against Japan, Volume 5: The Surrender of Japan. London: HMSO, 1969
From the U.S. Perspective
the Official U.S. Army Histories dealing with all this are (all by Charles F. Romanus and Riley Sunderland)
U.S. Army in World War II: China-Burma-India Theater: Stillwell's Mission to China
U.S. Army in World War II: China-Burma-India Theater: Stilwell's Command Problems
U.S. Army in World War II: China-Burma-India Theater: Time Runs Out in CBI
(this third volume might be of the most interest to you running from October 1944 until the end of the war. Also it deals with both of the U.S. Commands in to which CBI was divided after the recall of General Stillwell. Lt. Gen. Daniel I. Sultan's India-Burma command - under British Command and the China command under Lt. Gen. Albert C. Wedemeyer.)