This book explores combinatorial distance problems for finite point sets, an intriguing area of mathematical research with a rich history dating back to the 40s. The author presents upper and lower bounds for extremal problems defined for arrangements of lines, circles, spheres and similar curves and surfaces, extending previous results in exciting new ways. The book stands out for its clever adaptations of probabilistic counting, Davenport-Schinzel sequences, and elegant geometric and topological arguments. Ultimately, it sheds new light on the interplay between combinatorial arrangements and the distances between objects, offering valuable insights for further research in discrete and computational geometry.
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Paperback. Condition: New. Print on Demand. This book explores combinatorial distance problems for finite point sets, an intriguing area of mathematical research with a rich history dating back to the 40s. The author presents upper and lower bounds for extremal problems defined for arrangements of lines, circles, spheres and similar curves and surfaces, extending previous results in exciting new ways. The book stands out for its clever adaptations of probabilistic counting, Davenport-Schinzel sequences, and elegant geometric and topological arguments. Ultimately, it sheds new light on the interplay between combinatorial arrangements and the distances between objects, offering valuable insights for further research in discrete and computational geometry. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781333690045_0
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Seller: PBShop.store US, Wood Dale, IL, U.S.A.
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333690045
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Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333690045
Quantity: 15 available