Please note that Mommsen uses the AUC chronology (Ab Urbe Condita), i.e. from the founding of the City of Rome. You can use this reference table to have the B.C. dates
From: The History of Rome, by Theodor Mommsen
Translated with the sanction of the author by William Purdie Dickson
His first recollections pictured to him his father fighting in a distant land and conquering on Ercte; he had keenly shared that unconquered father's feelings on the peace of Catulus, on the bitter return home, and throughout the horrors of the Libyan war. While yet a boy, he had followed his father to the camp; and he soon distinguished himself.
His light and firmly-knit frame made him an excellent runner and fencer, and a fearless rider at full speed; the privation of sleep did not affect him, and he knew like a soldier how to enjoy or to dispense with food. Although his youth had been spent in the camp, he possessed such culture as belonged to the Phoenicians of rank in his day; in Greek, apparently after he had become a general, he made such progress under the guidance of his confidant Sosilus of Sparta as to be able to compose state papers in that language.
As he grew up, he entered the army of his father, to perform his first feats of arms under the paternal eye and to see him fall in battle by his side. Thereafter he had commanded the cavalry under his sister's husband, Hasdrubal, and distinguished himself by brilliant personal bravery as well as by his talents as a leader.
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Reference address : https://www.ellopos.net/elpenor/rome/3-04-hamilcar-hannibal.asp?pg=22