Short answers, pulled from the story.
Sakigake!! Otokojuku is a Japanese manga series written and illustrated by Akira Miyashita. It is set in an all-boys school whose mission is to train students to revive the Spirit of Japan through anachronistic combat and discipline. The series ran in Weekly Shonen Jump from 1985 to 1991 and was collected in 34 volumes.
Sakigake!! Otokojuku has sold over 26 million copies, making it one of the best-selling series in Weekly Shonen Jump history.
The anime, produced by Toei Animation and directed by Nobutaka Nishizawa, aired on Fuji TV from the 25th of February 1988 to the 14th of November 1988. It ran for 34 episodes.
An animated film was released on the 23rd of July 1988. It follows a team of Otokojuku first-year students led by Momotaro Tsurugi who travel to America to compete in a tournament called Great Battle August, facing one-on-one matches against members of an American team called 3S. Otokojuku wins the tournament.
The franchise produced games across multiple platforms: a Famicom game in 1989, a Game Boy game in 1990, PlayStation releases in 2002 and 2005, a PlayStation 3 game in 2014, and appearances in four crossover titles including J-Stars Victory VS, which became the first official release of Sakigake!! Otokojuku material outside Japan.
Heihachi Edajima is the principal of Otokojuku. He was a war hero during World War II and built the school's curriculum around training students for active roles in politics, economics, and industry, using methods described as highly anachronistic.