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9781489988263

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From the reviews: The present book ... presents a sequence of combinatorial themes which have shown an affinity for topological methods ... . This book is filled with extremely attractive mathematics ... and bringing topology into the play of combinatorics and graph theory is a wonderfully elegant manoeuvre. Here it is carried out coherently, and on a pretty grand scale, and we are thus afforded the opportunity to encounter (algebraic) topology in a very seductive uniform context. What a marvelous thing! (Michael Berg, MAA Reviews, July, 2013) In the book's four main chapters, Longueville (Univ. of Applied Sciences, Germany) addresses fair-division problems; graph coloring; graph property evasiveness; and embeddings and mappings. ... Basic results of algebraic topology already have powerful consequences for analysis, but the subject's arcana can look like art for art's sake. The author's charting of a novel application domain for a core subject makes this book an essential acquisition. Summing Up: Essential. Upper-division undergraduates and above. (D. V. Feldman, Choice, Vol. 50 (8), April, 2013) Topological combinatorics is concerned with the applications of the many powerful techniques of algebraic topology to problems in combinatorics. ... The present book aims to give a clear and vivid presentation of some of the most beautiful and accessible results from the area. The text, based upon some courses by the author at Freie Universitat Berlin, is designed for an advanced undergraduate student. (Hirokazu Nishimura, zbMATH, Vol. 1273, 2013)

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Mark de Longueville is professor of Mathematics at Hochschule für Technik und Wirtschaft Berlin and faculty member of the Berlin branch of New York University.

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