Lectures on Advances in Combinatorics (Universitext), Blinovsky, Vladimir,Ahlswe

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Artikelzustand
Gut: Buch, das gelesen wurde, sich aber in einem guten Zustand befindet. Der Einband weist nur sehr ...
Book Title
Lectures on Advances in Combinatorics (Universitext)
ISBN
9783540786016
Kategorie

Über dieses Produkt

Product Identifiers

Publisher
Springer Berlin / Heidelberg
ISBN-10
3540786015
ISBN-13
9783540786016
eBay Product ID (ePID)
66604768

Product Key Features

Number of Pages
Xiv, 318 Pages
Publication Name
Lectures on Advances in Combinatorics
Language
English
Publication Year
2008
Subject
Probability & Statistics / General, Computer Science, Combinatorics, Discrete Mathematics
Type
Textbook
Author
Vladimir Blinovsky, Rudolf Ahlswede
Subject Area
Mathematics, Computers
Series
Universitext Ser.
Format
Trade Paperback

Dimensions

Item Weight
36.7 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Intended Audience
Scholarly & Professional
Dewey Edition
22
Reviews
From the reviews:"The book has some very useful auxiliary material for researchers, namely the open problems at the end of each chapter, and the Appendix at the end of the book. … there are exercises at the end of each chapter as well. … the book will be very useful for researchers, and it could serve as the basis of graduate seminar, where each participant presents the material of one lecture covered in this book." (Miklós Bóna, MAA Online, January, 2009)The present book concentrates on special topics in Combinatorial theory. … At the end of each chapter are exercises, open research problems, and conjectures. More additional material including applications and possible research programs can be found in the Appendix. … The book can be used as a study material for an advanced graduate course on Combinatorial Theory. (Ludovit Niepel, Zentralblatt MATH, Vol. 1182, 2010), Aus den Rezensionen:"... Eine Besonderheit des Buches ist der ... umfangreiche Anhang, der zu jeder Vorlesung weiterführende Resultate und Anwendungen, Übungsaufgaben und offene Forschungsprobleme enthält. Wie bereits aus dem Titel hervorgeht kann das Buch als Grundlage von Vorlesungen für fortgeschrittene Studenten mit einem starken Interesse ... verwendet werden. Außerdem eignet es sich hervorragend als Ausgangspunkt für eigene Arbeit auf den behandelten Gebieten, da der aktuelle Stand der Forschung dargestellt wird, das Literaturverzeichnis keine Wünsche offen lässt und eine Vielzahl interessanter offener Probleme enthalten sind ..." (in: Rho Mathematik Verein Uni Rostock, März 2009), From the reviews: "The book has some very useful auxiliary material for researchers, namely the open problems at the end of each chapter, and the Appendix at the end of the book. ... there are exercises at the end of each chapter as well. ... the book will be very useful for researchers, and it could serve as the basis of graduate seminar, where each participant presents the material of one lecture covered in this book." (Miklós Bóna, MAA Online, January, 2009) "The present book concentrates on special topics in Combinatorial theory. ... At the end of each chapter are exercises, open research problems, and conjectures. More additional material including applications and possible research programs can be found in the Appendix. ... The book can be used as a study material for an advanced graduate course on Combinatorial Theory." (Ludovit Niepel, Zentralblatt MATH, Vol. 1182, 2010)
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
511.6
Table Of Content
Conventions and Auxiliary Results.- Intersection and Diametric Problems.- Covering, Packing, and List Codes.- Higher Level and Dimension Constrained Extremal Problems.- LYM-Related AZ-Identities, Antichain Splittings and Correlation Inequalities.- Basic Problems from Combinatorial Number Theory.
Synopsis
The lectures concentrate on highlights in Combinatorial (ChaptersII and III) and Number Theoretical (ChapterIV) Extremal Theory, in particular on the solution of famous problems which were open for many decades. However, the organization of the lectures in six chapters does neither follow the historic developments nor the connections between ideas in several cases. With the speci'ed auxiliary results in ChapterI on Probability Theory, Graph Theory, etc., all chapters can be read and taught independently of one another. In addition to the 16 lectures organized in 6 chapters of the main part of the book, there is supplementary material for most of them in the Appendix. In parti- lar, there are applications and further exercises, research problems, conjectures, and even research programs. The following books and reports [B97], [ACDKPSWZ00], [A01], and [ABCABDM06], mostly of the authors, are frequently cited in this book, especially in the Appendix, and we therefore mark them by short labels as [B], [N], [E], and [G]. We emphasize that there are also "Exercises" in [B], a "Problem Section" with contributions by several authors on pages 1063-1105 of [G], which are often of a combinatorial nature, and "Problems and Conjectures" on pages 172-173 of [E]., This volume features lectures that focus on basis extremal problems and inequalities--two sides of the same coin. Additionally, the lectures help prepare approaches and methods useful and applicable in a broader mathematical context., Conventions and Auxiliary Results.- Intersection and Diametric Problems.- Covering, Packing, and List Codes.- Higher Level and Dimension Constrained Extremal Problems.- LYM-Related AZ-Identities, Antichain Splittings and Correlation Inequalities.- Basic Problems from Combinatorial Number Theory., The lectures concentrate on highlights in Combinatorial (ChaptersII and III) and Number Theoretical (ChapterIV) Extremal Theory, in particular on the solution of famous problems which were open for many decades. However, the organization of the lectures in six chapters does neither follow the historic developments nor the connections between ideas in several cases. With the speci'ed auxiliary results in ChapterI on Probability Theory, Graph Theory, etc., all chapters can be read and taught independently of one another. In addition to the 16 lectures organized in 6 chapters of the main part of the book, there is supplementary material for most of them in the Appendix. In parti- lar, there are applications and further exercises, research problems, conjectures, and even research programs. The following books and reports B97], ACDKPSWZ00], A01], and ABCABDM06], mostly of the authors, are frequently cited in this book, especially in the Appendix, and we therefore mark them by short labels as B], N], E], and G]. We emphasize that there are also "Exercises" in B], a "Problem Section" with contributions by several authors on pages 1063-1105 of G], which are often of a combinatorial nature, and "Problems and Conjectures" on pages 172-173 of E].
LC Classification Number
QA297.4

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