What difference between "miss" and "lose" leads to the different form of word in the sentence? Why we can't say "the book is missed" or "the book is losing"?
"Missing" and "lost" are very similar in meaning, with just a subtle difference: "missing" is about location, when something is not in the place where it should be, whereas "lost" is about knowledge, when one does not know where something is. "My shoes are missing" means they're not where I expected to find them. "My shoes are lost" means I don't know where they are. You could use these two words interchangeably in many cases.
But "missed" (as in "the book is missed") is different -- it means that one remembers something fondly that is no longer present. If you sold a book you really loved, you might later say that you missed (having, reading, etc.) the book. And "losing" (as in "the book is losing") could only mean that the book is playing some sort of game and is not winning, which is not normally something you would say about an inanimate object.