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Understanding Queen Endgames
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"}},{"attributes":{"align":"center"},"insert":"\n"},{"insert":"\n\n"},{"attributes":{"bold":true},"insert":"UNDERSTANDING QUEEN ENDGAMES"},{"insert":" by Karsten Müller and Yakov Konoval, Russell Enterprises Inc., 271 pp., publ. 2021.\n\nWhat it says on the cover: very detailed coverage of an area which surprisingly has hitherto not received much individual attention. The authors (German GM and Russian player/programmer) cover everything to do with queen endgames, starting with Q v P and going all the way through every other possible ‘queen versus’ scenario.\n\nAs an example of the depth of their coverage, here’s chapter eight, Queen and Minor Piece versus Queen (and Minor Piece):\n\nQ+N v Q (with and without pawns)\nQ+B v Q (with and without pawns)\nQ+N v Q+N (longest win where one side has a pawn)\nQ+B v Q+B (bishops of the same colour)\nQ+B v Q+B (opposite-coloured bishops)\nQ+N v Q+B (knight plays for a win)\nQ+N v Q+B (bishop plays for a win)\n\nEach contains deeply analysed examples and exercises. That is thorough. So, impressive though the coverage is, it comes with a caveat. \n\nWhen Kramnik writes in his foreword, ‘…"},{"attributes":{"italic":true},"insert":"this fantastic book is already on my (very short) “must study” list for chessplayers of different levels, including the top ten!"},{"insert":"’, we have to quantify ‘different levels’. This is the equivalent of an undergraduate textbook. In the same way that you wouldn’t place one of those in the hands of an S1 or S2 high school pupil, this is not something I’d recommend to a lower rated, or even mythical ‘average’ player. It is material for advanced players with high ratings and the knowledge and experience to benefit from it. \n\nThe examples cover all the endgame tools, e.g. zugzwang, fortresses, use of the king, breakthroughs, coordination etc. Ratings apart, you could easily dip into it (not the purpose of the book, I suspect) and enjoy the twists and turns, but – see my caveat above – that presupposes enough knowledge or experience to appreciate the subtleties.\n\nThe layout is clear double column, with lots of deeply analysed examples where variations generally take precedence over words. In places though the authors provide examples to illustrate the longest wins in a given endgame, and they are not pretty on the eye. On pp.139-40 you will find a block of 244 moves illustrating the longest win involving two rooks and pawn v queen. On pp.140-1 the longest win involving two rooks and two pawns v queen comes in at 182 moves. To say that it is visually daunting is an understatement, and there are lots of such examples.\n\nThis is certainly an impressive work that would be of interest to titled or other experienced strong players, but players further down the rating list, or who play chess on a more casual basis, should ask themselves if they need this amount of detail. For them it is much more practical to know the basics – Q v P, Q v Q+P and the standard winning/drawing methods. And if you keep losing games to cheap tactical shots, the subtleties of queen endings are the least of your worries.\n\n"},{"attributes":{"italic":true,"bold":true},"insert":"Ian Marks"},{"insert":"\n\n"},{"attributes":{"italic":true,"bold":true},"insert":"September 2022"},{"insert":"\n"}]}