Pandolfini's Endgame Course, Bruce Pandelfini. 15 chapters include the elementary checkmates, pawn endgames, and all the main minor piece endgames. There are good explanations with all 239 positions. Pandelfini's endgame course is fully appropriate for young learners working with their parents.
Practical Chess Endings, Irving Chernev. I learned my basic endgames from Chernev's Practical Chess Endgames, and this remains a classic.
Winning Chess Endings, Yassar Seirawan. A hard-to-find book, but many modern players learned from this one.
"In order to improve your game," said the great Capablanca, "you must study the endgame before anything else; for whereas the endings can be studied and mastered by themselves, the middlegame and the opening must be studied in relation to the endgame." There is no doubt that Capa was right, and how better to study the endgame than to study his. Originally printed in 1978, Dover has re-printed Irving Chernev's Capablanca's Best Chess Endings.
Here are the 60 complete games in Chernev's book as well as my notes to game #60. Keep in mind as you play through these games that Capablanca was often more concerned about where his pieces belonged than what move to play next. 'tis useful advice!
A Guide to Chess Endings, Max Euwe, David Hooper. Clear and thorough coverage of most encountered endgame situations, written for adults.
Tactical Chess Endings, John Nunn. This book is my personal endgame favorite. Serious players will marvel at the complxity of these examples, most of which are taken from real Master games. This should not be your first endgame book, but don't miss it if you are getting serious about your chess.
Endgame Virtuoso, Vasily Smyslov. 100s of endgame examples all taken from Smyslov's own games. The former world champion places the examples in chapters according to endgame type, from pawn endgames through queenings, with more than half the book devoted to 32 illustrative games.
The tactics of Endgames, Jeno Ben. The authors brings alive the subtlety and beauty of the endgame. A thematic approach is the plus. Old-fashioned diagrams and descriptive notation are the negative.
Fundamental Chess Endings, Karsten Muller, Frank Lamprecht, John Nunn. For the ambitious player, here's a comprehensive one volume endgame encyclopedia, an impressive endgame reference.
Four Endgame Videos. In "Slashing Advanced Endgame Tactics," GM Dzindzichashvili analyzes several beautiful drawing resources in endgames that appear to be easy wins. In "Pummeling Success in Unbalanced Endgames," Dzindzi examines correct technique in the endgame using examples from grandmaster play. In "Storming Victory in Irregular Endgames," Dzindzi discusses endgames that have interesting material imbalances. In "Shattering Minor Piece Endings," Dzindzi examines bishops of opposite color endings, and discusses the general principles of play in B v N endgames.
Four more Endgame Videos. In "Minor Piece Endgame Weapons," Dzindzi discusses the general principles of play in bishop endgames including bishops of opposite color endings. In "Warring Endgame Tactics," Dzindzi examines tactical solutions (including decoy, stalemate, perpetual mate threats) in endgame play. In "Pounding a Material Advantage," Dzindzi presents the important theoretical positions that arise in endgames where one side has a material advantage. In "Pulverizing Pawn Endgames," Dzindzi examines the tactical aspects of certain pawn endgames - ones that do not adhere to simple generalizations but instead involve accurate calculation in their resolution. Examples include the Reti Maneuver, stalemate themes, zugzwangs, gain and loss of tempo, relative king activity.
More Endgame Videos. In "Armed with Pawn Endgame Essentials," Dzindzi teaches the important aspects of elementary pawn endgames including the opposition, and positions with pawn breakthroughs, outside passed pawns, potential outside passed pawns, and protected passed pawns. In "Rolling with Rooks and Pawns," Dzindzi teaches the basic principles of elementary rook endgames including the essential R + P v R positions (including the Lucena and Philidor positions).