The document summarizes several major battles of the American Civil War. It describes Burnside's failed attack on Fredericksburg, where his forces were decimated trying to take Marye's Heights. It then discusses Hooker replacing Burnside and his defeat at Chancellorsville against Lee. Finally, it outlines Grant's siege of Vicksburg, where Pemberton surrendered the city on July 4th, giving the Union control of the Mississippi River.