As someone who spends a lot of time diving into fantasy novels, I can confidently say that 'The Dragon Riding Book' is actually a bit of a mystery. There isn't a widely known book with that exact title, but if you're referring to 'Eragon' by Christopher Paolini, that's a fantastic series about dragon riders. Paolini started writing it as a teenager, and it grew into a massive epic filled with dragons, magic, and adventure.
Another possibility is 'Dragonflight' by Anne McCaffrey, which is part of the 'Dragonriders of Pern' series. McCaffrey’s world-building is legendary, blending sci-fi and fantasy in a way that feels fresh even decades later. If you’re looking for something more recent, 'Fourth Wing' by Rebecca Yarros has taken the fantasy community by storm with its intense dragon-riding academy setting. Each of these authors brings something unique to the table, whether it’s Paolini’s youthful energy, McCaffrey’s pioneering vision, or Yarros’s modern twist.