Chess theory

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This article uses algebraic notation to describe chess moves.

In 1913, preeminent chess historian H.J.R. Murray wrote in his 900-page magnum opus A History of Chess that, "The game possesses a literature which in contents probably exceeds that of all other games combined."[1] He estimated that at that time the "total number of books on chess, chess magazines, and newspapers devoting space regularly to the game probably exceeds 5,000."[2] In 1949, B.H. Wood opined that the number had increased to about 20,000.[3] David Hooper and Kenneth Whyld wrote in 1992 that, "Since then there has been a steady increase year by year of the number of new chess publications. No one knows how many have been printed..."[4] The world's largest chess library, the John G. White Collection[5] at the Cleveland Public Library, contains over 32,000 chess books and over 6,000 bound volumes of chess periodicals.[6] Chessplayers today also avail themselves of computer-based sources of information unimagined by Murray.

As a result, today there is a vast body of theory concerning the opening and endgame phases of the game, and to a lesser extent the middlegame. Those who write about chess theory, who are often but not necessarily also eminent players, are referred to as "theorists" or "theoreticians."

Contents

[edit] Opening theory

Early printed work on chess theory by Luis Ramirez de Lucena c. 1497
Early printed work on chess theory by Luis Ramirez de Lucena c. 1497

The earliest printed work on chess theory whose date can be established with some exactitude is Repeticion de Amoresy Arte de Ajedrez by the Spaniard Luis Ramirez de Lucena, published c. 1497, which included among other things analysis of eleven chess openings. Some of them are known today as the Giuoco Piano, Ruy Lopez, Petroff's Defense, Bishop's Opening, Damiano's Defense, and Scandinavian Defense, though Lucena did not use those terms.[7]

The authorship and date of the Göttingen manuscript are not established,[8][9], and its publication date is estimated as being somewhere between 1471 and 1505.[10] It is not known whether it or Lucena's book was published first.[11] The manuscript included examples of games with the openings now known as Damiano's Defence, Philidor's Defense, the Giuoco Piano, Petroff's Defense, the Bishop's Opening, the Ruy Lopez, the Ponziani Opening, the Queen's Gambit Accepted, 1.d4 d5 2.Bf4 Bf5 (a form of the London System), Bird's Opening, and the English Opening.[12] Murray observes that it "is no haphazard collection of commencements of games, but is an attempt to deal with the Openings in a systematic way."[13]

Fifteeen years after Lucena's book, a Portuguese apothecary, Pedro Damiano, published in Rome the book Questo libro e da imparare giocare a scachi et de la partiti (1512). It included analysis of the Queen's Gambit Accepted, showing what happens when Black tries to keep the gambit pawn with ...b5.[14] Damiano's book "was, in contemporary terms, the first bestseller of the modern game."[15] Harry Golombek writes that it "ran through eight editions in the sixteenth century and continued on into the next century with unflagging popularity."[16] Modern players know Damiano primarily because his name is attached to the weak opening Damiano's Defense (1.e4 e5 2.Nf3 f6?), although he condemned rather than endorsed it.[17]

These books and later ones discussed games played with various openings, opening traps, and the best way for both sides to play. Certain sequences of opening moves began to be given names, some of the earliest being Damiano's Defense, the King's Gambit (1.e4 e5 2.f4), the Queen's Gambit (1.d4 d5 2.c4), and the Sicilian Defense (1.e4 c5).[18]

Damiano's book was followed by general treatises on chess play by Ruy López de Segura (1561), Giulio Cesare Polerio (1590), Gioachino Greco (c. 1625), Captain Bertin (1735), and François-André Danican Philidor (1749).[19][20]

The first author to attempt a comprehensive survey of the openings then known was Aaron Alexandre in his 1837 work Encyclopedie des echecs.[21] According to David Hooper and Kenneth Whyld, "[Carl] Jaenisch produced the first openings analysis on modern lines in his Analyse nouvelle des ouvertures (1842-43)."[22] In 1843, Paul Rudolf von Bilguer published the German Handbuch des Schachspiels, which combined the virtues of Alexandre and Jaenisch's works.[23] The Handbuch, which went through several editions, last being published in several parts in 1912-16, was one of the most important opening references for many decades.[24] The last edition of the Handbuch was edited by the great Carl Schlechter, who had drawn a match for the World Championship with Emanuel Lasker in 1910. International Master William Hartston called it "a superb work, perhaps the last to encase successfully the whole of chess knowledge within a single volume."[25]

The English master Howard Staunton, one of the world's strongest players in the 1840s and 1850s,[26] included over 300 pages of analysis of the openings in his 1847 treatise The Chess Player's Handbook,[27], which "became the standard reference work in English-speaking countries."[28] However, "as time passed a demand arose for more up-to-date works in English[.]"[29] Wilhelm Steinitz, the first World Champion, widely considered the "father of modern chess,"[30][31][32][33] extensively analyzed various double king-pawn openings (beginning 1.e4 e5) in his book The Modern Chess Instructor, published in 1889 and 1895.[34] Also in 1889, E. Freeborough and the Reverend C.E. Ranken published the first edition of Chess Openings Ancient and Modern; later editions were published in 1893, 1896, and 1910.[35] In 1911, R.C. Griffith and J.H. White published the first edition of Modern Chess Openings. It is now the longest-published opening treatise in history; the fifteenth edition (commonly called MCO-15), by Grandmaster Nick de Firmian, was published in April 2008.[36]

According to Hooper and Whyld, the various editions of Modern Chess Openings, the last edition of the Handbuch, and the fourth edition of Ludvig Collijn's Larobok (in Swedish) "were the popular reference sources for strong players between the two world wars."[37] In 1937-39 former World Champion Max Euwe published a twelve-volume opening treatise, De theorie der schaakopeningen in Dutch, which was later translated into other languages.[38]

In the late 1930s to early 1950s Reuben Fine, one of the world's strongest players,[39] also become one of its leading theoreticians, publishing important works on the opening, middlegame, and endgame. These began with his revision of Modern Chess Openings, which was published in 1939.[40] In 1943, he published Ideas Behind the Chess Openings, which sought to explain the principles underlying the openings.[41] In 1948, he published his own opening treatise, Practical Chess Openings, a competitor to MCO.[42] In 1964, International Master I.A. Horowitz published the 789-page tome Chess Openings: Theory and Practice, which in addition to opening analysis included a large number of illustrative games.[43]

In 1966, the first volume of Chess Informant was published in Belgrade, Yugoslavia, containing 466 annotated games from the leading chess tournaments and matches of the day.[44] The hugely influential Chess Informant series has revolutionized opening theory. Its great innovation was that it expressed games in languageless figurine algebraic notation and annotated them using no words, but rather seventeen symbols, whose meanings were explained at the beginning of the book in six different languages. This enabled readers around the world to read the same games and annotations, thus greatly accelerating the dissemination of chess ideas and the development of opening theory. The editors of Chess Informant later introduced other publications using the same principle, such as the five-volume Encyclopedia of Chess Openings and Encyclopedia of Chess Endings treatises. Chess Informant was originally published twice a year, and since 1991 has been published thrice annually. Volume 100 was published in 2007.[45] It now uses 57 symbols, explained in 10 languages, to annotate games (see punctuation (chess)), and is available in both print and electronic formats. In 2005, former World Champion Garry Kasparov wrote, "We are all Children of the Informant."[46]

In the 1990s and thereafter, the development of opening theory has been further accelerated by such innovations as extremely strong chess engines such as Fritz and Rybka, software such as ChessBase, and the sale of multi-million-game databases such as ChessBase's Mega 2008 database, with 3.8 million games.[47] Today, the most important openings have been analyzed 20-30 moves deep, sometimes well into the endgame,[48] and it is not unusual for leading players to introduce theoretical novelties on move 25 or even later.[49]

Thousands of books have been written on chess openings. These include both comprehensive openings encyclopedias such as the Encyclopedia of Chess Openings and Modern Chess Openings; general treatises on how to play the opening such as Mastering the Chess Openings (in three volumes), by International Master John L. Watson;[50] and myriad books on specific openings, such as Understanding the Grünfeld[51] and Chess Explained: The Classical Sicilian.[52] "Books and monographs on openings are popular, and as they are thought to become out of date quickly there is a steady supply of new titles."[53]

[edit] Middlegame theory

Aron Nimzowitsch
Aron Nimzowitsch

Middlegame theory is considerably less developed than either opening theory or endgame theory.[54] Watson writes, "Players wishing to study this area of the game have a limited and rather unsatisfactory range of resources from which to choose."[55]

Leading player and theorist Aron Nimzowitsch's[56] influential books My System (1925);[57] Die Blockade (1925) (in German),[58] and Chess Praxis (1936)[59][60] were, and remain, among the most important works on the middlegame.[61] In 1952, Fine published the 442-page The Middle Game in Chess, perhaps the most comprehensive treatment of the subject up until that time.[62] The mid-20th century also saw the publication of The Middle Game, volumes 1 and 2, by former World Champion Max Euwe and Hans Kramer,[63][64] and a series of books by the Czechoslovak-German grandmaster Luděk Pachman: three volumes of Complete Chess Strategy,[65][66][67] Modern Chess Strategy,[68] Modern Chess Tactics,[69] and Attack and Defense in Modern Chess Tactics.[70]

In 1999, Watson's Secrets of Modern Chess Strategy: Advances Since Nimzowitsch was published, in which Watson discusses the revolution in middlegame theory that has occurred since Nimzowitsch's time.[71]

There are also many books on specific aspects of the middlegame, such as The Art of Attack in Chess by Vladimir Vukovic,[72] The Art of Sacrifice in Chess by Rudolf Spielmann,[73] The Art of the Checkmate by Georges Renaud and Victor Kahn,[74] The Basis of Combination in Chess by J. du Mont,[75] and The Art of Defense in Chess by Andrew Soltis.[76]

[edit] Endgame theory

Many significant chess treatises, beginning with the earliest works, have included some analysis of the endgame. Lucena's book (c. 1497) concluded with 150 examples of endgames and chess problems.[77]

Staunton's The Chess-Player's Handbook, originally published in 1847, included almost 100 pages of analysis of endgames.[78]

In 1941 Reuben Fine published his monumental 573-page treatise Basic Chess Endings, the first attempt at a comprehensive treatise on the endgame.[79] A new edition, revised by Pal Benko, was published in 2003.[80] Soviet writers published an important series of books on specific endings: Rook Endings by Grigory Levenfish and Vasily Smyslov,[81] Pawn Endings by Yuri Averbakh and I. Maizelis,[82] Queen and Pawn Endings by Averbakh,[83] Bishop Endings by Averbakh,[84] Knight Endings by Averbakh and Vitaly Chekhover,[85] Bishop v. Knight Endings by Yuri Averbakh,[86] Rook v. Minor Piece Endings by Averbakh,[87] and Queen v. Rook/Minor Piece Endings by Averbakh, Chekhover, and V. Henkin.[88] These books by Averbakh and others were collected into the five-volume Comprehensive Chess Endings in English.

In recent years, computer-generated endgame tablebases have revolutionized endgame theory, conclusively showing best play in many complicated endgames that had vexed human analysts for over a century, such as queen and pawn versus queen. They have also overturned human theoreticians' verdicts on a number of endgames, such as by proving that the two bishops versus knight ending, which had been thought drawn for over a century, is normally a win for the bishops (see Pawnless chess endgames#Minor pieces only and Chess endgame#Effect of tablebases on endgame theory.)

Several important works on the endgame have been published in recent years, among them Dvoretsky's Endgame Manual,[89] Fundamental Chess Endings by Karsten Müller and Frank Lamprecht,[90] Basic Endgames: 888 Theoretical Positions by Yuri Balashov and Eduard Prandstetter,[91] Chess Endgame Lessons by Benko,[92] and Secrets of Rook Endings[93] and Secrets of Pawnless Endings by John Nunn.[94] Some of these have been aided by analysis from endgame tablebases.

[edit] See also

[edit] References

  1. ^ H.J.R. Murray, A History of Chess, Oxford University Press, 1913, p. 25. ISBN 0-19-827403-3. This quote is also given in David Hooper and Kenneth Whyld, The Oxford Companion to Chess, Oxford University Press, 2nd ed. 1992, p. 229 ("literature of chess" entry). ISBN 0-19-866164-9.
  2. ^ Murray, p. 25 n. 1.
  3. ^ Hooper and Whyld, p. 229.
  4. ^ Hooper and Whyld, p. 229.
  5. ^ The World's Greatest Chess Library
  6. ^ Special Chess Records (Susan Polgar)
  7. ^ Harry Golombek, Chess: A History, G.P. Putnam's Sons, 1976, pp. 97-101. ISBN 0-399-11575-7.
  8. ^ Murray, p. 782.
  9. ^ Hooper and Whyld, p. 156 ("Göttingen manuscript" entry).
  10. ^ Hooper and Whyld, p. 156.
  11. ^ Murray, p. 782.
  12. ^ Murray, pp. 782-84.
  13. ^ Murray, p. 784.
  14. ^ Golombek, pp. 101-02.
  15. ^ Richard Eales, Chess: The History of a Game, Facts on File Publications, 1985, p. 81. ISBN 0-8160-1195-8.
  16. ^ Golombek, p. 102.
  17. ^ Hooper and Whyld, p. 101 ("Damiano Defence" entry).
  18. ^ Murray, p. 886.
  19. ^ I.A. Horowitz, Chess Openings: Theory and Practice, Simon and Schuster, 1964.
  20. ^ Hooper and Whyld, pp. 157-58 ("Greco, Gioacchino" entry).
  21. ^ Hooper and Whyld, pp. 10, 280 ("Alexandre, Aaron" and "openings literature" entries).
  22. ^ Hooper and Whyld, p. 280.
  23. ^ Hooper and Whyld, p. 280.
  24. ^ "Bilguer's Handbuch was the dominant reference for some time until it was superseded by a number of international treatises, which, in the English-speaking world, included Modern Chess Openings and Practical Chess Openings." I.A. Horowitz, Chess Openings: Theory and Practice, Simon and Schuster, 1964, p. VII. Four years after the first edition of the Handbuch was published, Howard Staunton in the preface to The Chess-Player's Handbook, discussed below, called the Handbuch "a production-whether considered in reference to its research, its suggestiveness, or the methodical completeness of its arrangement-which stands unrivalled and alone." Howard Staunton, The Chess-Player's Handbook, George Bell & Sons, 1893 (reprint), p. v.
  25. ^ William Hartston, The Kings of Chess, Harper & Row, 1985, p. 87. ISBN 0-06-015358-X.
  26. ^ Statistician Arpad Elo, developer of the rating system, analyzed the results of all 342 match, tournament, and exhibition games of record among the top nine players in the world in the 1846-62 period. Staunton's 0.591 winning proportion was second only to that of Paul Morphy (0.726), and well ahead of Daniel Harrwitz, who was third at 0.542. Arpad E. Elo, The Rating of Chessplayers, Past and Present, Arco Publishing, 1978, p. 55. ISBN 0-668-04721-6.
  27. ^ Staunton, pp. 59-401.
  28. ^ Hooper and Whyld, p. 280 ("Openings literature" entry). Similarly, Murray states that the book "took rank at once as the leading English text-book on chess." Murray, p. 885.
  29. ^ Hooper and Whyld, p. 280 ("Openings literature" entry).
  30. ^ Garry Kasparov, My Great Predecessors, Part I, Everyman Publishers, 2003, pp. 45-46. ISBN 1-85744-330-6.
  31. ^ Emanuel Lasker, Lasker's Manual of Chess, Dover Publications, 1960, pp. 188-229. ISBN 0-486-20640-8.
  32. ^ Richard Réti, Masters of the Chessboard, Dover Publications, 1976, pp. 47-49. ISBN 0-486-23384-7.
  33. ^ Anthony Saidy, The Battle of Chess Ideas, RHM Press, 1975, pp. 20-21. ISBN 0-89058-018-9.
  34. ^ Wilhelm Steinitz, The Modern Chess Instructor, Edition Olms AG, Zürich, 1990 (reprint). ISBN 3-283-00111-1.
  35. ^ Review of Chess Openings Ancient & Modern
  36. ^ Nick de Firmian, Modern Chess Openings, 15th Edition, McKay Chess Library, 2008. ISBN 978-0-8129-3682-7.
  37. ^ Hooper and Whyld, p. 280 ("Openings literature" entry).
  38. ^ Hooper and Whyld, p. 281 ("Openings literature" entry).
  39. ^ Fine tied for first with Paul Keres at AVRO 1938, at the time the strongest tournament ever held, ahead of such players as reigning world champion Alexander Alekhine, former world champion José Raúl Capablanca, and future world champion Mikhail Botvinnik. After Alekhine's death in 1946, Fine was invited to participate in the match-tournament to select the new champion, but declined in order to pursue his study of psychoanalysis. "From about 1936 to 1951, when he practically gave up competitive chess, Fine was among the strongest eight players in the world." David Hooper and Kenneth Whyld, The Oxford Companion to Chess, Oxford University Press, 1984, p. 113. ISBN 0-19-217540-8.
  40. ^ R.C. Griffith, J.H. White, Reuben Fine, and P.W. Sergeant, Modern Chess Openings, David McKay (6th ed. 1939).
  41. ^ Reuben Fine, Ideas Behind the Chess Openings, David McKay, 1943.
  42. ^ Reuben Fine, Practical Chess Openings, David McKay, 1948.
  43. ^ I.A. Horowitz, Chess Openings: Theory and Practice, Simon and Schuster, 1964.
  44. ^ Chess Informant, Volume 1, Beograd, 1966.
  45. ^ Chess Informant, Volume 100, Sahovski Informator, 2007. ISSN 0351-1375.
  46. ^ The Best of Chess Informant: Garry Kasparov
  47. ^ New: Mega Database 2008 is out!
  48. ^ For instance, GM Andrew Soltis mentions a line in the Dragon Variation of the Sicilian Defense that begins 1.e4 c5 2.Nf3 d6 3.d4 cxd4 4.Nxd4 Nf6 5.Nc3 g6 6.Be3 Bg7 7.f3 Nc6 8.Qd2 0-0 9.Bc4 Nxd4 10.Qxd4 Qa5 11.0-0-0 Be6 12.Bb3 b5 13.Kb1 Rfc8 14.Rhe1! Bxb3 15.cxb3 b4 16.Bxf6! bxc3 17.Bxc3 Bxc3 18.bxc3 Qxc3 19.Qxc3 Rxc3 20.Rc1! Rac8 21.Rxc3 Rxc3 22.Rc1! Rxc1+ 23.Kxc1. Soltis writes that since this position began appearing 30 moves ago "it's looked more and more like a forced win for White because he can create an outside passed pawn. A recent analysis in New in Chess concluded that White's win is certain-once you get to move 69." Andrew Soltis, "Chess to Enjoy" column, "The Neutron Bomb Middlegame," Chess Life, October 2006, p. 10.
  49. ^ For example, John L. Watson writes of the Marshall Attack in the Ruy Lopez, "When I opened a book on the Marshall Attack ... I learned that for the 'old main line' (which is still extremely popular), 'the real struggle begins around move 30'! And in fact, correspondence chess games sometimes take it a step further, with one side playing a new move as the endgame begins!" John L. Watson, Mastering the Chess Openings, Volume 1, Gambit Publications, 2006, pp. 161-62. ISBN 978-1-904600-60-2, ISBN 1-904600-60-3.
  50. ^ Mastering the Chess Openings, Volume 1, cited above.
  51. ^ Jonathan Rowson, Understanding the Grünfeld, Gambit Publications, 1999. ISBN 1-901983-09-9.
  52. ^ Alex Yermolinsky, Chess Explained: The Classical Sicilian, Gambit Publications, 2006. ISBN 1-904600-42-5.
  53. ^ Hooper and Whyld, p. 230 ("literature of chess" entry).
  54. ^ John Watson, Secrets of Modern Chess Strategy: Advances Since Nimzowitsch, Gambit Publications, 1998, p. 10. ISBN 1-901983-07-2. ISBN 0-486-20290-9.
  55. ^ Secrets of Modern Chess Strategy, p. 10.
  56. ^ GM Raymond Keene writes that Nimzowitsch "was one of the world's leading Grandmasters for a period extending over a quarter of a century, and for some of the that time he was the obvious challenger for the world championship. ... [He was also] a great and profound chess thinker, second only to Steinitz, and his works--Die Blockade, My System and Chess Praxis--established his reputation as one of the father figures of modern chess." Keene, Aron Nimzowitsch: A Reappraisal, David McKay, 1974, p. 1. ISBN 0-679-13040-3.
  57. ^ Aron Nimzowitsch, My System (21st Century Edition), Hays Publishing, 1991. ISBN 1-880673-85-1. Aron Nimzovich, My System, David McKay, 1947, ISBN 0-679-14025-5.
  58. ^ Aron Nimzowitsch, Blockade (English translation), Chess Enterprises, 1980. ISBN 0-931462-07-X.
  59. ^ Aron Nimzowitsch, Chess Praxis (21st Century Edition), Hays Publishing, 1993. ISBN 1-880673-91-6.
  60. ^ Aron Nimzovich, Chess Praxis: The Praxis of My System, Dover Publications, 1962. SBN 486-20296-8.
  61. ^ Secrets of Modern Chess Strategy, p. 10.
  62. ^ Reuben Fine, The Middle Game in Chess, David McKay, 1952.
  63. ^ Dr. M. Euwe and H. Kramer, The Middle Game, Book One: Static Features, G. Bell and Sons, 1964. ISBN 0-7135-0431-5.
  64. ^ Dr. M. Euwe and H. Kramer, The Middle Game, Book Two: Dynamic and Subjective Features, G. Bell and Sons, 1965. ISBN 0-7135-0432-3.
  65. ^ Luděk Pachman, Complete Chess Strategy, Volume 1: First Principles of the Middle Game, Cornerstone Library, 1975. ISBN 346-12321-6.
  66. ^ Luděk Pachman, Complete Chess Strategy, Volume 2: Principles of Pawn Play and the Center, Cornerstone Library, 1976. ISBN 346-12343-7.
  67. ^ Luděk Pachman, Complete Chess Strategy: Play on the Wings, David McKay, 1978. ISBN 0-679-13252-X.
  68. ^ Luděk Pachman, Modern Chess Strategy, Dover Publications, 1971. ISBN 0-486-20290-9.
  69. ^ Luděk Pachman, Modern Chess Tactics, Routledge & Kegan Paul Ltd, 1972. ISBN 0-7100-7098-5.
  70. ^ Luděk Pachman, Attack and Defense in Modern Chess Tactics, David McKay, 1973.
  71. ^ Secrets of Modern Chess Strategy, pp. 10-13.
  72. ^ V. Vukovic, The Art of Attack in Chess, Pergamon Press, 1965. ISBN 0-08-011196-3.
  73. ^ Rudolf Spielmann, The Art of the Sacrifice in Chess, David McKay, 1951.
  74. ^ Georges Renaud and Victor Kahn, The Art of the Checkmate, Dover Publications, 1962. ISBN 0-486-20106-6.
  75. ^ J. du Mont, The Basis of Combination in Chess, Dover Publications, 1978. ISBN 0-486-23644-7.
  76. ^ Andrew Soltis, The Art of Defense in Chess, David McKay, 1975. ISBN 0-679-13043-8.
  77. ^ Golombek, p. 101.
  78. ^ Howard Staunton, The Chess-Player's Handbook, George Bell & Sons, 1893, pp. 403-500. Some of Staunton's analysis, such as his analysis of the very rare rook versus three minor pieces endgame, is surprisingly sophisticated. At page 439, Staunton wrote, "Three minor Pieces are much stronger than a Rook, and in cases where two of them are Bishops will usually win without much difficulty, because the player of the Rook is certain to be compelled to lose him for one of his adversary's Pieces. If, however, there are two Knights and one Bishop opposed to a Rook, the latter may generally be exchanged for the Bishop, and as two Knights are insufficient of themselves to force checkmate, the game will be drawn. Modern-day endgame tablebases confirm Staunton's assessments of both endings. Karsten Müller and Frank Lamprecht, Fundamental Chess Endings, Gambit Publications, 2001, p. 403. ISBN 1-901983-53-6. Yet Reuben Fine, 92 years after Staunton, erroneously wrote on page 521 of Basic Chess Endings that both types of rook versus three minor piece endings "are theoretically drawn." Grandmaster Pal Benko, an authority on the endgame and like Fine a world-class player at his peak, perpetuated Fine's error in his 2003 revision of Basic Chess Endings. Reuben Fine and Pal Benko, Basic Chess Endings (Algebraic Edition), McKay Chess Library, 2003, p. 524, ISBN 0-8129-3493-8.
  79. ^ Reuben Fine, Basic Chess Endings, David McKay, 1941.
  80. ^ Reuben Fine and Pal Benko, Basic Chess Endings, Random House, 2003. ISBN 0-8129-3493-8.
  81. ^ Grigory Levenfish and Vasily Smyslov, Rook Endings, Chess Digest, 1971. ISBN 0-7134-0354-3.
  82. ^ Y. Averbakh and I. Maizelis, Pawn Endings, Chess Digest, 1974.
  83. ^ Yuri Averbakh, Queen and Pawn Endings, Chess Digest, 1975, ISBN 0-7134-6041-9.
  84. ^ Yuri Averbakh, Bishop Endings, Batsford, 1977. ISBN 0-7134-0096-X.
  85. ^ Yuri Averbakh and Vitaly Chekhover, Knight Endings, Batsford 1977. ISBN 0-7134-0552-X.
  86. ^ Yuri Averbakh, Bishop v. Knight Endings, Batsford, 1976. ISBN 0-7134-3179-2.
  87. ^ Yuri Averbakh, Rook v. Minor Piece Endings, Batsford, 1978. ISBN 0-7134-0868-5.
  88. ^ Yuri Averbakh, V. Chekhover, and V. Henkin, Queen v. Rook/Minor Piece Endings, Batsford, 1978. ISBN 0-7134-0866-9.
  89. ^ Mark Dvoretsky, Dvoretsky's Endgame Manual (second Edition), Russell Enterprises, 2006. ISBN 1-888690-19-4.
  90. ^ Karsten Muller and Frank Lamprecht, Fundamental Chess Endings, Gambit Publications, 2001. ISBN 1-901983-53-6.
  91. ^ Yuri Balashov and Eduard Prandstetter, Basic Endgames, Prague Chess Agency, 1992. ISBN 80-901056-0-2.
  92. ^ Pal Benko, Chess Endgame Lessons, 1989, Library of Congress Catalogue No. 89-64215.
  93. ^ John Nunn, Secrets of Rook Endings, Henry Holt, 1993. ISBN 0-8050-2640-1.
  94. ^ John Nunn, Secrets of Pawnless Endings, Henry Holt, 1994. ISBN 0-8050-3285-1.