This is a phase II , open label, single center study of surgery followed by heated intraoperative cisplatin in patients with recurrent ovarian, primary peritoneal or fallopian tube cancers. Approximately twenty patients will receive surgery and intraoperative (hyperthermic) cisplatin followed by four consecutive courses of outpatient intraperitoneal cisplatin and doxorubicin given on days 1 and 8 during a 3 week cycle.