Name a single HISTORY book written while the HISTORY was still happening....

Just because a book was written AFTER someone "died" doesn't change the FACT that someone lived, breathed, spoke, walked, preached, etc.....does it? If that's so, then how did you learn about Christopher Columbus? He was long gone by the time you first heard his name, right? So therefore, the HISTORY books that you learned his name and life from in school are they fake? Are they wrong? Were they always written by the SAME author???? Does ANY of that change the FACT that Christopher Columbus was Spanish, Discovered America, and lived???? NOPE.