Henry V is a biography of the same by popular historian Dan Jones. Jones spends the first half the book covering Henry's life (1386-1422) before ascending to the throne of England, from his tumultuous childhood (watching his father, the eventual Henry IV, outlawed from the land by Richard II) to a series of tough battles against Welsh rebels. The second half of the book is on Henry as king, though much of his reign was spent in France, fighting to take back Norman lands (a part of which is his famous success at Agincourt) and beyond, eventually securing an agreement to become king of France upon Charles VI's death (though Henry would end up passing away from illness before he could wear that crown).
Ultimately, Jones take a traditional view of Henry, agreeing with his Medieval contemporaries who "saw in him a paragon of Christian, knightly virtue and the living embodiment of traditional kingship."
This is a straightforward work, with two unique aspects of note:
1) As I said, about half the book is before Henry becomes king. Giving unusual weight to his pre-king days gives the reader insight into the experiences that shaped Henry and influenced his approach to rule.
2) Jones writes in present tense, as though you are there with Henry as he is actively dealing with the various trials and situations given him. This enables an element of suspense (and allows for speculative asides on what may have been going through Henry's mind in a given scenario).
I enjoyed this work for its unusual style (it did help you feel "in the moment" with him) and decent pace. Covering an entire life in 360 pages means events (and differing interpretations/opinions of Henry's actions) will be glossed over or ignored entirely, so there is a degree of trust that Jones has done his homework and rightly assessed (and interpreted) what is worth presenting.* All told, this is a good read.
Rating: B+
*I suppose this is true of any historical work; I've read other historians who try to cover the conflicting views in more depth, though.