Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

When we began to consider the scope of this book, we envisaged a catalogue supplying at least one abstract definition for any finitely generated group that the reader might propose. But we soon realized that more or less arbitrary restrictions are necessary, because interesting groups are so numerous. For permutation groups of degree 8 or less (i. e., subgroups of e ), the reader cannot do better than consult the 8 tables of JosEPHINE BuRNS (1915), while keeping an eye open for misprints. Our own tables (on pages 134-143) deal with groups of low order, finiteandinfinite groups of congruent transformations, symmetric and alternating groups, linear fractional groups, and groups generated by reflections in real Euclidean space of any number of dimensions. The best substitute foramoreextensive catalogue is the description (in Chapter 2) of a method whereby the reader can easily work out his own abstract definition for almost any given finite group. This method is sufficiently mechanical for the use of an electronic computer. There is also a topological method (Chapter 3), suitable not only for groups of low order but also for some infinite groups. This involves choosing a set of generators, constructing a certain graph (the Cayley diagram or DEHNsehe Gruppenbild), and embedding the graph into a surface. Cases in which the surface is a sphere or a plane are described in Chapter 4, where we obtain algebraically, and verify topologically, an abstract definition for each of the 17 space groups of two-dimensional crystallography."

For nearly fifty years grandmasters and amateurs alike have been making their annual pilgrimage to the World Open. Legendary organiser Bill Goichberg created the model of this iconic event in American chess: large entry fees, large prizes, and no-frills. Every year around the 4th of July, Philadelphia is the scene of countless epic battles at the board. Joel Benjamin and Harold Scott examined hundreds of games and conducted a series of interviews with what they call the Heroes of the World Open, players who won the tournament on multiple occasions. What they wanted to investigate was: why have some players been so consistent in their efforts, always battling for the top prizes? Benjamin and Scott discovered that many different paths were taken on the road to victory, but that the Heroes definitely had one common factor: their fighting spirit! The authors present the history of the World Open from its humble beginnings to the juggernaut it has become today. There are many entertaining stories and scandals that the reader will enjoy. This rich book holds a fantastic collection of the very best games that were crucial in deciding the outcome of the tournament as well as a selection of exciting tactics. WINNING THE WORLD OPEN is as entertaining as it is instructive. Not only the many thousands of players that participated will find it an irresistible read.

Espionage thriller, based on the 1959 ITV series, starring Stanley Baker, Peter Cushing and Mai Zetterling. Joe Newman (Baker), a jazz musician who has lived in England since the outbreak of World War II, is greatly surprised to discover that his father, believed to have died some 20 years before, may still be alive and heads to his hometown in Bavaria to investigate. While there he becomes enveloped in a conspiracy that reaches to both sides of the Iron Curtain and involves the mysterious Dr. von Brecht (Cushing).

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