"Acing Depression: A Tennis Champion's Toughest Match" is due out next month. He wrote it with his daughter, Hilaire Richey Kallendorf, a college professor.
Richey led the United States to the Davis Cup title in 1970.
Richey's clinical depression was not diagnosed until just before his 50th birthday during a routine visit to the skin doctor. He has since become an advocate for mental health, speaking at events across the country.