A book with a soft cover is typically called a paperback book.

A softback book can refer to any book with a soft cover, which includes both mass-market paperbacks and trade paperbacks. A trade paperback book typically has a higher-quality paper, larger size, and better binding compared to a mass-market paperback.

A soft cover book has a soft cover an paper back is mostly paper

A hard cover or, hardback book has a hard, thick and inflexible cover. It is more expensive and more durable than the paperback version.

A soft cover or, paperback book has a soft and flexible cover (just a little bit thicker than the pages of the book itself). They are less expensive than the hardback.

the title for waterwings was changed to max and is out in both hard and soft cover