While it remains a fundamental work on chess strategy, the way chess positions are handled has changed greatly since Nimzowitsch's time - both refinements to existing ideas, and completely new concepts. John Watson's book fulfils the need for a thorough, profound work on the modern handling of chess positions, and how Nimzowitsch's theories - still controversial and revolutionary at the time My System was written - have been refined and used alongside classical concepts.The first section of the book discusses how the understanding of classical themes, such as pawn majorities, the centre, and structural weaknesses, have been refined. Watson then moves on to discuss new concepts, including the willingness of modern players to accept backward pawns in return for dynamic play, the idea of a good 'bad' bishop, knights finding useful roles at the edge of the board and the exchange sacrifice idea that became prevalent with the post-war Soviet champions. This profound yet thoroughly practical work is rounded off with sections on prophylactic thinking, dynamism, modern concepts as they apply to the critical contemporary opening systems, and some thoughts on the future of chess.

    Originally written to define the relation between the theories of transfinite numbers and mathematical games, the resulting work is a mathematically sophisticated but eminently enjoyable guide to game theory. By defining numbers as the strengths of positions in certain games, the author arrives at a new class, the surreal numbers, that includes both real numbers and ordinal numbers. These surreal numbers are applied in the author's mathematical analysis of game strategies. The additions to the Second Edition present recent developments in the area of mathematical game theory, with a concentration on surreal numbers and the additive theory of partizan games.

    Through the allegory of Alice's adventures and encounters, Gilmore makes the essential features of the quantum world clear and accessible. It is a thrilling introduction to some essential, often difficult-to-grasp concepts about the world we inhabit.

    Here's an entertaining and informative manual for beginners, but it's filled with tips and techniques learners will retain and successfully employ as their skill develops and they match themselves against experienced players. With annotated illustrations and more than 300 examples, this fascinating manual demonstrates*Openings used by international masters, including the Ruy Lopez, the Queen's Gambit Declined, the Sicilian Defense, and others*Basic and advanced strategies, tactics, sacrifices, and pawn structure to help learners master the chess middle game*End game, with emphasis on use of rooks and pawnsIt's a comprehensive and compact reference that will find a ready place in school and private chess clubs. This book will also be a favorite among individuals who wish to discover chess as a pleasurable way to spend a social evening.

    A modern classic by an accomplished mathematician and best-selling author has been updated to encompass and explain the recent headline-making advances in the field in non-technical terms.

    The proper use of pawns — of paramount importance in chess strategy — sometimes even puzzles experienced players. This profoundly original and stimulating book by an International Master and prolific chess writer offers superb instruction in pawn play by isolating its elements and elaborating on various aspects. After a lucid exposition of the fundamentals and the basic formations of one or two pawns that virtually constitute the keys to winning chess strategy, the reader is shown a multitude of examples demonstrating the paramount significance of elements of pawn manipulation. The author’s masterly explanation makes it perfectly clear to the beginner as well as the advanced player how the fate of a game depends on pawn formation and how pawn power holds the proceedings under its remote control. Over 180 games and diagrams illustrate the author’s theory and make it easy to follow the points made in the text.Hans Kmoch played with distinction in several international tournaments and is the author of a number of books and columns on chess and chess tournaments.“We consider it the best publication on chess strategy since the end of World War II.” — Die Welt.

    Certainly no man has ever held the world championship longer — 28 years — or kept his powers so long. In his sixties, Lasker began what amounted to a fresh career in chess by playing his first serious game in ten years, and defeating Max Euwe, the man who was the following year to become world champion. The secret behind his extraordinary abilities may perhaps be found in Lasker’s wide knowledge of every phase of the game, and his ability to be independent of schools or fashions.This knowledge is reflected in the Manual of Chess, making it one of the great studies of the game, acclaimed by the chess world almost from the day it appeared. The book is one of the most thorough studies ever written, and though its main appeal is to the intermediate to skilled player, it begins its explanations at a level that can be understood by the beginner. Lasker analyzes basic methods of gaining advantages, exchange value of pieces, combinations, position play, the aesthetics of chess, and almost every other important aspect of the game. He examines dozens of different openings, including the Petroff Defense, the Hungarian Defense, King’s Bishop, Ponziani, Giuoco Piano, and Four Knights’ Game. He constantly illustrates his discussions with games played by the great modern masters. Lasker is always delightful reading, revealing a mind as quick to entertain and philosophize as it is to explain.One of the most rewarding features of the book is Lasker’s illumination and elaboration of the theories of William Steinitz. An interesting sidelight is that although Lasker always thought of himself as a disciple of Steinitz, he was actually an original, more versatile player, inclined to take calculated risks. His exposition of Steinitz’s thought and maxims, his principles of attack and evaluation, however, cannot help but be profitable to any chess player.

    Indeed, many physicists today believe that there are other dimensions beyond the four of our space-time, and that a unified vision of the various forces of nature can be achieved, if we consider that everything we see around us, from the trees to the stars are nothing but vibrations in hyperspace. Hyperspace theory - and its more recent derivation, superstring theory - is the eye of this revolution. In this book, Michio Kaku shows us a fascinating panorama, which completely changes our view of the cosmos, and takes us on a dazzling journey through new dimensions: wormholes connecting parallel universes, time machines, "baby universes" and more. Similar wonders are emerging in some pages in which everything is explained with elegant simplicity and where the mathematical formulation is replaced by imaginative illustrations that allow the problems to be visualized. The result is a very entertaining and surprising book, which even leaves behind the greatest fantasies of the old science fiction authors.

    Mathematics, Applied & Natural Sciences

    Imagine that you face three doors, behind one of which is a prize. You choose one but do not open it. The host--call him Monty Hall--opens a different door, alwayschoosing one he knows to be empty. Left with two doors, will you do better by sticking with your first choice, or by switching to the other remaining door? In this light-hearted yet ultimately serious book, Jason Rosenhouse explores the history of this fascinating puzzle. Using a minimum ofmathematics (and none at all for much of the book), he shows how the problem has fascinated philosophers, psychologists, and many others, and examines the many variations that have appeared over the years. As Rosenhouse demonstrates, the Monty Hall Problem illuminates fundamental mathematical issuesand has abiding philosophical implications. Perhaps most important, he writes, the problem opens a window on our cognitive difficulties in reasoning about uncertainty.

    Edward Lasker rates him the game’s supreme inventive genius; Euwe considers him the all-time greatest attacking player. A master of all phases of chess, his games were richly conceived and immensely complex. As Bobby Fischer observes in his writings, “He played gigantic conceptions, full of outrageous and unprecedented ideas.”This unequaled collection reproduces Alekhine’s 220 best games, his own personal accounts of the dazzling victories that made him a legend. Spanning almost thirty years of tournament play, it includes historic matches against Capablanca, Euwe, and Bogoljubov, and chronicles his brilliant ascent to world mastery, his surprising defeat in 1935, and his dramatic return two years later — the first deposed champion to regain his crown.Between 1927 and 1936 his successes in tournaments were unsurpassed by any master at any time in the history of chess. At San Remo 1930 and Bled 1931, in competitions that featured many of the world’s greatest players, Alekhine so outdistanced the field that he was indisputably in a class by himself. In a career including some seventy tournaments, he won first prize forty-one times, tying for first on nine occasions. He won or shared second prize fourteen times.Chess was Alekhine’s life; he lived for it alone. And although the final chapter of his career and his life were tragic, his achievements at the chessboard rank him as one of the game’s true artists. Filled with Alekhine’s own penetrating commentary on strategy and tactics, and enhanced by a revealing memoir, My Best Games is grandmaster chess at its most sublime. This volume belongs in the library of every serious student of the game.

    Connecting games to math, science, and psychology, GameTek has grown to be one of the most popular parts of the show.This volume commemorates the anniversary with a collection of over seventy of the best segments, many with annotations and illustrations.With chapters on everything from Rock, Paper, Scissors to the Prisoner’s Dilemma to Player Engagement to Quasicrystals to Buddha’s Forbidden Games, GameTek is sure to delight not just game designers and players, but anyone who wants to learn about the world from a new perspective.Sections:• Game Theory• Math• Psychology• Science• Game Mechanics• Psychology Games• HistoryFrom the first time I heard it, the GameTek segment in The Dice Tower podcast became my favorite part of the show. Listening to Geoff is like going to your favorite lesson with your favorite teacher. He teaches about games (yay!) and does it in a very interesting way with lots of examples. He does amazing stuff. He knows about the construction of games, he knows the theory, he knows all that stuff behind the scenes that we gamers do not see when just playing a game and having fun.Ignacy Trzewiczek, Portal GamesThere are many hobby game 'experts' out there, dying to give you their opinion on how the industry works, how games work, what types of games are best, and so on. Geoff Engelstein is the expert that requires your attention. He is a scholar of games, and his research on games and other principles that apply to gaming is matched by none.Stephen Buonocore, Stronghold GamesOver the years, I’ve listened to a lot of people talk about board games, yet the short snippets that Geoff puts out are the ones that I find myself thinking about in the quiet of the night. His are the segments that you laugh at and say, “I have NO idea what you are talking about” — but later on use to show people just how intellectual you are.Tom Vasel, The Dice Tower

    In this little book Welsh writer and artist David Wade paints a picture of one of the most elusive and pervasive concepts known to man.

    Admittedly, computers now play chess at the grandmaster level, but do they understand the game as we do? Can a computer eventually do everything a human mind can do? In this absorbing and frequently contentious book, Roger Penrose--eminent physicist and winner, with Stephen Hawking, of the prestigious Wolf prize--puts forward his view that there are some facets of human thinking that can never be emulated by a machine. Penrose examines what physics and mathematics can tell us about how the mind works, what they can't, and what we need to know to understand the physical processes of consciousness. He is among a growing number of physicists who think Einstein wasn't being stubborn when he said his little finger told him that quantum mechanics is incomplete, and he concludes that laws even deeper than quantum mechanics are essential for the operation of a mind. To support this contention, Penrose takes the reader on a dazzling tour that covers such topics as complex numbers, Turing machines, complexity theory, quantum mechanics, formal systems, Godel undecidability, phase spaces, Hilbert spaces, black holes, white holes, Hawking radiation, entropy, quasicrystals, the structure of the brain, and scores of other subjects. The Emperor's New Mind will appeal to anyone with a serious interest in modern physics and its relation to philosophical issues, as well as to physicists, mathematicians, philosophers and those on either side of the AI debate.

    In his trademark witty, accessible style, Soltis provides tips on everything from the need for memorization to the use of computers-and even how to develop that indefinable thing called intuition.