Here's how it plays out:
* Hope: The very premise of the book is that the world is on the brink of destruction. However, Percy and his friends never give up hope. Even when facing impossible odds, they hold onto the belief that they can win, even if it means sacrificing everything.
* Courage: Percy and his friends demonstrate incredible courage throughout the book. They confront their fears, fight for what they believe in, and face powerful enemies, even knowing they might not survive.
* Friendship: The power of their friendship is what ultimately allows them to succeed. They support each other, trust each other, and rely on each other for strength. Their bond is unbreakable, even in the face of betrayal and loss.
Other themes woven throughout the book include:
* The power of love: Percy's love for Annabeth is a major driving force throughout the story. It gives him strength and hope, and it helps him overcome the challenges he faces.
* The importance of family: Percy learns to embrace his half-brother Luke, even though Luke has been misled and is ultimately driven by a desire for acceptance.
* The dangers of power: Luke's downfall is a testament to the dangers of seeking power for selfish reasons.
* The importance of standing up for what is right: Even when it's hard, the characters in the story choose to fight for what they believe in, even if it means sacrificing their own lives.
In essence, *The Last Olympian* is a story about how even in the darkest of times, hope, courage, and friendship can overcome any obstacle.