The Gospel of Matthew is one of four books in the New Testament that describe some of the life of Jesus Christ. The authors of the gospels wrote about different aspects of who Jesus was and what he did. Matthew showed that Jesus was the Messiah and that God would save Israel through him. Matthew often explained that Jesus fulfilled the Old Testament prophecies about the Messiah. This may indicate that he expected most of his first readers to be Jewish.
Translators may choose to call this book by its traditional title, "The Gospel of Matthew" or "The Gospel according to Matthew." Or they may choose a title that may be clearer, such as "The Good News about Jesus that Matthew wrote."