William 'Bill' Slim was a British General who famously commanded the 14th Army, also known as the 'FBI' (Forgotten Boys in India) in WWII. He's generally considered one of the best, if not the best, British Generals of the war, for his attention to the logistics, training and morale of his troops, as well as his skill as a commander, that allowed the 14th Army to inflict defeat on the Japanese at Imphal and Kohima, and drive the Japanese from Burma in the Meiktila Campaign.

In general Burma was a forgotten war because it was inconsequential or considered as such by Churchill and the War Cabinet, in comparison to the war in Europe and the Mediterranean.

If you're looking for an excellent book that covers Burma and Slim, as well as WWII in the Pacific (1944-45), Max Hasting's Nemesis, as well as his history of the war, All Hell Let Loose are both good places to start. There aren't many titles that I could name, but there has been a good deal written on Slim and the Burma Campaign. If you'd like a more 'audiovisual' source, the British series The World At War had a whole episode delegated to the Burma Campaign, called It's A Lovely Day Tomorrow.

Slim wrote a highly regarded memoir titled Defeat Into Victory which is a very good account of his service in Burma. One of the reasons he is held in high such high regard is that he took command of troops that had suffered a thorough defeat and led them through a long retreat, rebuilt and reorganized them, then led them through some serious positional battles and ultimately led them on what was almost a blitzkrieg into Rangoon. He also made a point of attributing his success to the troops and not to his own brilliance which was rather refreshing.
One of the more fascinating aspects of the Burma campaign was the action of the Chindits. These were fairly large infantry groups (brigades comprised of battalion columns) that operated behind the Japanese front. Their actual contribution to the campaign is debatable but it is perhaps the most well known part of the Burma war. Their use of air-landing and aerial resupply were quite revolutionary.
Aside from the Flying Tigers, the events in Burma are not well known in USA so if that is where you are it is no surprise that info is scant.
In addition to the books recommended by DuxBelisarius I would add
Dawns like Thunder by Alfred Draper
Burma Victory by David Rooney
For a man on the ground aspect of the war I highly recommend
The Road Past Mandalay by John Masters
Quartered Safe Out Here by George MacDonald Fraser
The Burma Campaign deserves more recognition as it was the bottom of the priority list for troops and supplies yet the troops persevered and won an amazing victory. It was primarily fought by the Indian Army with an assist from African colonial troops under the British, American aviation and even a couple of transport squadrons from Canada.

Their was a thread on this, that you might be interested in:

What was the impact of the British Fourteenth Army "The Forgotten Army" in WW2? [1]

My answer will answer part of your question as well:

In a strategic sense, the vicory in Burma insured and expanded communication with China. China was supplied by "The Hump", a air route, from India to China and eventually by the Ledo Road. Supplying China by these route was one of the major strategic corenerstone of american strategy. If this strategy was sound or not is a matter of great debate that I will not go into here.

Its interesting to know that operations in Northern Burma were pushed very strongly by the Americans. The British wanted to either just defend India or focus on reopening the Burma Road (by caputring all of Burma, most importantly Rangoon), instead of investing resources in the "The Hump" and the "Ledo Road". The viewed China as far less important.

It has to be understood that the airplanes flying "The Hump" could have been used to creatly expand the stricking power of the 14th army and could have allowed a reopening of the Burma Road earlier. Air lift was one of the great shortages the Indian Army had to deal with, it limited them greatly.

Essentially their were some dealings between the COS (Chiefs of Staff) and the British promised operations in Burma for some other agreements.

On a more basic level its a fantastically fought campain. From the troupes all the way to the logistical support and the generals, they all get pretty good marks. The IJA army was handly defeated worse then it ever has been up to that point. Imprtantly they were defeated in the Jungle, something many belived was not possible. Its important to note that this was mainly a campain by the Indian Army, and and its probebly the greatest achivment of the Indian Army. Their were also British, African and Burma troupes innvolved.

So we end up with a campain of douteful grand stategic value, that was however a brilliant operational and tactical success that achived all its stategic goals (if anything overshoot on those goals).

Sources:

Defeat into Victory by Field Marshal Bill Slim (one of the best books by a general)

War Diaries, 1939-1945 by Field Marshal Alan Brook (for the strategic view)

[1] https://www.reddit.com/r/AskHistorians/comments/3ergmk/what_was_the_impact_of_the_british_fourteenth/

Their are biographies of Bill Slim around, but I have only read his own book that does not talk much about himself.