A Mathematical Theory of Chess is a thesis about chess position. Over 35 features on chess board are evaluated and book highlights how they are advantages, and how to assigned values to them. The basic unit is positional point 1/3 of pawn, but many 1/6 of pawn advantages are covered. Illustrative games follow creation of these various advantages their exploitation and how they were eventual used together to create winning advantages. Follow how open file advantage, a knight outpost, and pin for example combine to give a player a winning edge. Other positional aspects covered included compromised king position, pins, outposts, numerous pawn structures such as doubled pawns, isolated pawns, advanced pawns, and pawn majorities. Games from a wide variety of sources and times illustrate explore how the advantages were obtained, and how they were exploited to produce wins. Diagrams of the positions, and evaluation tables at key points in the game are also given. A significant portion of the book deals with strategy and how this interacts with positional advantages on the board. The chess games for standard chess covered in the book are given in both descriptive and algebraic notation.
The book also has two chapters expanded form of chess with exotic chess pieces. All these pieces work on a standard chess board, and for the most part with standard chess rules appropriately modified for the new possibilities. The theory provided shows how to calculate chess piece values in both standard chess and then extends this thinking to provide first estimates of the values of over 130 exotic pieces types, over 200 different pieces. Over 20 years of exploration into exotic pieces is encoded, with detailed descriptions of various exotic pieces rules, and illustrative games using "Fisher chess setups with various exotic pieces". Many of these exotic games are given in an expanded algebraic notation that allows one to play forward or backward from any position.
Some of the exotic pieces come or were modified from the literature, but majority of them are original to the author. Projectile pieces, split field pieces, activation pieces, field modifier pieces, and many others are introduced. Imagine chess with "Wolves, Regents, Generals, Long Bows, Catapults, Sentinels, Jedi, Dragons, Magicians, Sorcerers, Wizards, Spies, Chariots, Prime Ministers, Archbishops, Marauders, Clippers, Decoys, Spooks, Phantoms, Bodyguards, Messengers, Flag Bearers, and Prophets" and many more. Each piece has precise rules, carefully crafted from test games, to provide clear - easy to remember properties and behaviors. Read this book and open yourself to an amazing new world of chess. With this many pieces, and Fisher type setups, every game can be new adventure.