All of the books I mention here look at advantages for both White and Black.
There are a few books I know of that cover all the main variations after 3 Nc3 in some detail. The one I like best, because it explains the ideas behind the variations better, is The French Explained by Eingorn and Bogdanov (c.2008, 127 pages) where about 80 pages are about 3 Nc3 lines (Winawer, Classical, Rubinstein).
Similar coverage of all three are in McDonald and Harley, Mastering the French (c.2001, 192 pages) and Byron Jacobs, Starting Out the French (c.2003, 175 pages).
The other books I know cover only specific variations.
There's a good book on the Winawer: Leo Psakhis, French Defense 3 Nc3 Bb4 (c.2004, 256 pages), which looks at both White's and Black's best options and he also has a 3 Nd2 book. In the Nc3 book he writes, "If you are preparing to play the Winawer on the White side. you should take a close look at the games of Vassily Smyslov, Aleksei Shirov, Sergei Dolmatov and Judit Polgar. Vishy Anand also has some remarkable results to his name."
Neil McDonald also has a book that looks at both sides, French Winawer (c.2000, 144 pages). McDonald's and Psakhis' Winawer books book spend about half their pages on 4 e5 c5
Neil McDonald has another book or monograph - I found a 58 page pdf excerpt somewhere, French Classical and Rubinstein (c.2000) that explores 3 Nc3 Nf6 and 3 Nc3 dxe4 4 Nxe4 Nd7. It looks at both sides advantages.
Eduard Gufeld and Oleg Stetsko have a book, The Classical French (c.2003, 143 pages) that basically looks at two lines after 3 Nc3 Nf6 4 Bg5 Be7 5 e5 Nfd7: the "Classical" 6 Bxe7 Qxe7 and the "Chatard-Alekhine Attack" 6 h4.
Hello Everyone! Can you please suggest some books on 1.e4 e6 2.d4 d5 3.Nc3 as white?