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Unread book in perfect condition. Bestandsnummer des Verkäufers 33184914
After numbers, sets are the most fundamental notion in mathematics, say Frankl and Tokushige, and the simplest sets are those with a finite number of elements--finite sets. They address combinatorial, mostly extremal, problems concerning systems of subsets of a given finite set. Among their problems are the Erdos-Ko-Rado theorem via shifting, the Kleitman theorem for no s pairwise disjoint sets, uniform measure versus product measure, Fürude's structure theorem, some algebraic constructions for L systems, and a cross intersection problem with measures. Annotation ©2018 Ringgold, Inc., Portland, OR (protoview.com)
Über die Autorin bzw. den Autor:
Peter Frankl, Renyi Institute, Budapest, Hungary.
Norihide Tokushige, Ryukyu University, Okinawa, Japan.
Titel: Extremal Problems for Finite Sets
Verlag: American Mathematical Society
Erscheinungsdatum: 2018
Einband: Softcover
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Anbieter: Brook Bookstore On Demand, Napoli, NA, Italien
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Paperback. Zustand: New. One of the great appeals of Extremal Set Theory as a subject is that the statements are easily accessible without a lot of mathematical background, yet the proofs and ideas have applications in a wide range of fields including combinatorics, number theory, and probability theory. Written by two of the leading researchers in the subject, this book is aimed at mathematically mature undergraduates, and highlights the elegance and power of this field of study. The first half of the book provides classic results with some new proofs including a complete proof of the Ahlswede-Khachatrian theorem as well as some recent progress on the Erdos matching conjecture. The second half presents some combinatorial structural results and linear algebra methods including the Deza-Erdos-Frankl theorem, application of Rodl's packing theorem, application of semidefinite programming, and very recent progress (obtained in 2016) on the Erdos-Szemeredi sunflower conjecture and capset problem. The book concludes with a collection of challenging open problems. Bestandsnummer des Verkäufers LU-9781470440398
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Paperback. Zustand: New. One of the great appeals of Extremal Set Theory as a subject is that the statements are easily accessible without a lot of mathematical background, yet the proofs and ideas have applications in a wide range of fields including combinatorics, number theory, and probability theory. Written by two of the leading researchers in the subject, this book is aimed at mathematically mature undergraduates, and highlights the elegance and power of this field of study. The first half of the book provides classic results with some new proofs including a complete proof of the Ahlswede-Khachatrian theorem as well as some recent progress on the Erdos matching conjecture. The second half presents some combinatorial structural results and linear algebra methods including the Deza-Erdos-Frankl theorem, application of Rodl's packing theorem, application of semidefinite programming, and very recent progress (obtained in 2016) on the Erdos-Szemeredi sunflower conjecture and capset problem. The book concludes with a collection of challenging open problems. Bestandsnummer des Verkäufers LU-9781470440398
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