The below chart has two sections. The first shows which Isaiah chapters are quoted in the Book of Mormon including their order and location in the Book of Mormon (as well as a summary of each quoted chapter to encourage speculation as to why the writers of the Book of Mormon would have wanted to include that particular chapter in their record). The second section (which is located just below the first ) is a comparison between the words in the Book of Isaiah and the quotes in the Book of Mormon. The text in RED are those that differ between the two records. The far right column also provides some notes on some of the variances.
Let it be noted that critics of Joseph Smith will often claim that he merely (and lazily) copied and pasted portions of Isaiah into the Book of Mormon. However, the complexity of the Isaiah quotes in the Book of Mormon (the thoughtful and logical variations in the text, the different order of the Isiah chapters, the appropriateness of the Isaiah revelation in light of purpose and context of the Book of Mormon (ex. the scattering and gathering of Israel from the "isles" of the sea, prophecies of the birth and atonement of Christ etc.) and the prophecies of a "voice from the dust" and a "sealed book" that is given to an "unlearned" person indicate great wisdom, thought and, I believe, inspiration.