A very diverse subject depending on if you want mainly battles/combat, politics, individual personalities, etc.
A few books that come to mind...
Battle Cry of Freedom by James McPherson is a pretty good one volume history as I recall.
U.S. Grant's personal memoirs are worth a read (should be public domain everywhere). There are many other memoirs of the Civil War that are interesting too.
Stephen Sears books Gettysburg, Chancellorsville, To The Gates of Richmond: The Peninsula Campaign and Landscape Turned Red: The Battle of Antietam
Many of Shelby Foote's books including his three volume Civil War: A Narrative
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