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Daniel Harmon Brush came to southern Illinois from Vermont with his parents in the 1820s and found a frontier region radically different from his native New England. In this memoir, Brush, the eventual founder of Carbondale, Illinois, describes his early life in the northeast, his pioneer family s move west, and their settlement near the Illinois River in Greene County, Illinois. Beginning as a store clerk, Brush worked hard and became very successful, serving in a number of public offices before founding the town of Carbondale in the 1850s, commanding a regiment in the Civil War, and...

This text is based on a lecture course given by the authors in the framework of Oberwolfach Seminars at the Mathematisches Forschungsinstitut Oberwolfach in May, 2013. It is intended to serve as a thorough introduction to the rapidly developing field of positional games. This area constitutes an important branch of combinatorics, whose aim it is to systematically develop an extensive mathematical basis for a variety of two player perfect information games. These ranges from such popular games as Tic-Tac-Toe and Hex to purely abstract games played on graphs and hypergraphs. The subject of...