The two major campaings were:
Atlanta Campaign (7th of May to 2nd of September, 1864), under command of Willaim T. Sherman (Union Army) vs Joseph E. Johnston (Confederates) with a victory for Sherman.
Chickamagua Campaing (21st of August to 20th of September, 1863), under command of Willaim S. Rosencras (Union Army) vs Braxton Bragg (Confederates), with a victory for Bragg.