Much of the time when he was America’s premier playwright, he was taciturn and reserved; when he married Marilyn Monroe even more so. But in the comprehensive documentary “Arthur Miller: Writer” (HBO, 8 p.m.) the author of “Death of a Salesman” and so many other works is warm, thoughtful and expansive, probably because he’s talking to his daughter.
Rebecca Miller took years to complete the film of her father, who died in 2005, partly because of how to handle the story of the brother that her parents institutionalized and never spoke of — something she deals with in the film. But she gives equal measure to all his wives and follows his work when no one else did, until he enjoyed a deserving late career revival.
“Silicon Valley: The Untold Story” (Science, 8 p.m.) is a series about the place, not the comedy that returns Sunday to HBO. Three episodes run.
A survey of early Amazon fighters, “Epic Warrior Women” (Smithsonian, 8 p.m.) is narrated by early Wonder Woman Lynda Carter.
Battle rounds begin on “The Voice” (NBC, 8 p.m.) but auditions continue on “American Idol” (Fox, 8 p.m.).
“The Good Doctor” (ABC, 10 p.m.) considers surgery to allow a young patient to smile.
Kevin goes on a local TV talk show on “Kevin Can Wait” (CBS, 8 p.m.).
“DC’s Legends of Tomorrow” (The CW, 8 p.m.) deals with Totems.
Alex and Rebecca announces their engagement on “McMafia” (AMC, 10 p.m.).
Adam and Andi lose an intimate film on “Man with a Plan” (CBS, 8:30 p.m.).
Olivia plans blackmail on “Mary Kills People” (Lifetime, 9 p.m.).
The team on “Scorpion” (CBS, 10 p.m.) looks for an alligator.
“Cake Boss” (Food, 10 p.m.) bakes something for Oscar winners Common and John Legend.
On “Superior Donuts” (CBS, 9 p.m.), Randy helps a rookie with a sexual harassment claim.
Beth comes home to a surprise guest on “Good Girls” (NBC, 10 p.m.).
“Thou Shalt Not Steal” makes Chip return office supplies on “Living Biblically” (CBS, 9:30 p.m.).
Kreizler mourns the loss of a friend on “The Alienist” (TNT, 9 p.m.).
Lauren moves on from Carl on “Summer House” (Bravo, 10 p.m.).
Rachel comes clean to Serena on “UnReal” (Lifetime, 10 p.m.).
“Lucifer” (Fox, 8 p.m.) looks for a serial killer targeting couples.
A homeless person is admitted on “The Resident” (Fox, 9 p.m.).
“Love & Hip Hop Atlanta” (VH1, 8 p.m.) returns for its seventh season with DNA results for Kirk and Rasheeda.
The Kilchers are hit with a heavy snowstorm on “Alaska: The Last Frontier: The Frozen Edge” (Animal Planet, 9 p.m.). The climate is the opposite on “Wild Hawaii: Fiery Paradise” (National Geographic, 9 p.m.).
Turner Classic Movies selects movies with great endings all week. They begin with movies that end (spoiler alert) “with a bang:” : “Bonnie and Clyde” (8 p.m.), “The Lady from Shanghai” (10 p.m.), “King Kong” (11:45 p.m.), “Easy Rider” (1:45 a.m.), “Night of the Living Dead” (2:30 a.m.) and “White Heat” (5:30 a.m.).
NBA action includes Milwaukee at Cleveland (ESPN, 7 p.m.) and Golden State at San Antonio (ESPN, 9:30 p.m.).
Hockey has Los Angeles at Minnesota (NBC Sports, 8 p.m.).
Spring training includes Mets vs. Houston (MLB, 1 p.m.), White Sox vs. Arizona (MLB, 4 p.m.) and Colorado vs. Texas (MLB, 9 p.m.).
Second round play in the NIT men’s basketball tournament has Stanford at Oklahoma State (ESPNU, 7 p.m.), LSU vs. Utah (ESPNU, 9 p.m.), Washington at Saint Mary’s California (ESPNU, 11 p.m.) and Western Kentucky at Southern California (ESPN2, 11:30 p.m.).
Second round play in the women’s NCAA basketball tournament alternates between games including Quinnipiac vs. Connecticut (ESPN2, 6:30 p.m.) and Creighton vs. UCLA (ESPN2, 9 p.m.).
It’s Japan vs. U.S. (NBC Sports, 2 p.m.) in the women’s world championship of curling.
Daytime Talk
Kelly Ripa and Ryan Seacrest: Hilary Swank, Scott Eastwood, Maria Menounos. The View: Sen. Cory Booker. The Talk: Krysten Ritter, Big Boy. Harry Connick: Jacob Tremblay, Billy Ray Cyrus, Lauren Wilson (rerun). Steve Harvey: Tracey Edmonds, Deion Sanders. Ellen DeGeneres: Allison Janney, Zach Woods. Wendy Williams: Dr. Mehmet Oz, Ashlee Glazer. The Real: Val Chmerkovskiy, Maksim Chmerkovskiy, Peta Murgatroyd.
Late Talk
Stephen Colbert: Drew Barrymore, Adam Devine, Moby. Jimmy Kimmel: Tyler Perry, Jensen Ackles, Dua Lipa. Jimmy Fallon: Blake Shelton, Scott Eastwood. Seth Meyers: Bill Hader, Rosie Perez, Tayari Jones, Lil’ John Roberts. James Corden: RuPaul, Kumuli Nanjiani, Jenny Slate, Craig David. Carson Daly: Josh Radnor, Mimicking Birds, Tom Segura. Trevor Noah: Mitch Landrieu. Jordan Klepper: Julia Ioffe. Conan O’Brien: Burt Reynolds, Dylan Moran, Rachel Feinstein.