Solution to Problem # 21

White wins with 1.Bxf7+ Kxf7 (if 1…Kf8 2.Ng5 with a significant advantage) 2.Ng5+ Kf6 (if 2...Ke8 or 2...Kf8, 3.Ne6 captures the Black queen) 3.Qf3#.

Solution to Problem # 20

This position appeared in the game J. Polgar - Angelova, Thessaloniki 1988. White wins with the beautiful 1.Qxf8+ Kxf8 2.Bh6+ Kg8 3.Re8#.

Solution to Problem # 19

This position, courtesy of www.wtharvey.com, is from the game Keres-Petrov, Tallinn 1933. White wins with 1.Be4 Qg4 2.Qxg4 Bxg4 3.Bxb7.

Solution to Problem # 18

This position occurred in the game Carlsen-Nielsen, Malmo 2004, as shown at www.wtharvey.com. White wins with 1.Qe7! (threatening 2.Rh8+ with mate next move) Qc7 2.Qe8+ followed by 3.Qxa4.

Solution to Problem # 17

This position, courtesy of www.wtharvey.com, is from the game Carlsen-Gretarsson, Rethymnon, 2003.

White wins beautifully with 1.Bg6+. If 1...Rxg6, 2.Qe7# and if 1...Kxg6, then 2.Qh5#!

Solution to Problem # 16

This problem is courtesy of www.wtharvey.com from the game Maurice Ashley-David Arnett, New York 1993. White wins with 1.Bb5 Bc6 2.Bxc6+ Qxc6 3.Rh8+ Kd7 4.Qd8#.

Solution to Problem # 15

This position is from the game Kotov-Ragozin, Moscow 1949, which I found in Kotov's book Play Like a Grandmaster. White won with 1.f4 (threatening 2.Rh7#) Qxe3+ 2.Kh2 Qxe5 3.fxe5 1-0.

Solution to Problem # 14

As I was looking through the "Famous Games" feature of Chessmaster 10, I came across the game Corzo-Capablanca, Cuba 1901. In this game, the 12-year-old Capablanca defeated Cuba's top player at the time. Here's how he finished it: 1...Rg2+ 2.Kf1 Rf2+ 3.Ke1 Nd3+ and White resigned in the face of 4...g2 and 5...Nxe5.

Solution to Problem # 13

This problem is from the game between Jennifer Shahade (White) and Josh Waitzkin (Black), Chicago 1997, courtesy of www.wtharvey.com.

Black wins with 1...Bb2+ 2.Kxa2 Bxc2+ (discovered check) 3.Bxa8 Rxa8#. Isn't that beautiful?