This book, now in a revised and extended third edition, provides a comprehensive and accessible introduction to modern axiomatic set theory.After an overview of basic notions in combinatorics and first-order logic, and discussing in great d...Lasīt vairāk
(Izdošanas datums: 09-Apr-2024, Hardback, Izdevniecība: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789811285783)
Topics covered in Discrete Mathematics have become essential tools in many areas of studies in recent years. This is primarily due to the revolution in technology, communications, and cyber security. The book treats major themes in a typical introdu...Lasīt vairāk
Drawing from the lecture notes for a semester-long program for advanced undergraduate students, Katz and Reimann introduce Ramsey theory. The material should be accessible to anyone who has completed a first set of proof-based mathematics courses...Lasīt vairāk
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This introduction to modern set theory opens the way to advanced current research. Coverage includes the axiom of choice and Ramsey theory, and a detailed explanation of the sophisticated technique of forcing. Offers notes, related results and refere...Lasīt vairāk
(Izdošanas datums: 01-May-2016, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470428082)
Dodos and Kanellopoulos present a detailed exposition of a number of Ramsey-type results concerning product spaces or, more accurately, finite Cartesian products F1X...XFn where the factors F1...Fn may be equipped with an additional structure dependi...Lasīt vairāk
Commutation Relations, Normal Ordering, and Stirling Numbers provides an introduction to the combinatorial aspects of normal ordering in the Weyl algebra and some of its close relatives. The Weyl algebra is the algebra generated b...Lasīt vairāk
A Study of Generalized Hat Problem. Two prisoners are told that they will be brought to a room and seated so that each can see the other. Hats will be placed on their heads; each hat is either red or green. The two prisoners must simultane...Lasīt vairāk
Based on talks delivered at Ultramath 2008: Applications of Utlrafilters and Ultraproducts in Mathematics held in Pisa, Italy, the eight papers contributed to this volume explain the theorems on measure-centering ultrafilters, apply alpha-theory to s...Lasīt vairāk
The analysis of the characteristics of walks on ordinals is a powerful new technique for building mathematical structures, developed by the author over the last twenty years. This is the first book-length exposition of this method. Particular emphasi...Lasīt vairāk
Anderson (U. of Glasgow) explores collections of subsets of a finite set where the collection is described in terms of intersection, union, or inclusive conditions. He also considers more general partially ordered sets. The 1989 edition, published by...Lasīt vairāk
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The combinatorial study of finite set systems is a lively area of research unified by the gradual discovery of structural insights and widely applicable proof techniques. This book is the first coherent and up-to-date account of the basic methods an...Lasīt vairāk
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The combinatorial study of finite set systems is a lively area of research unified by the gradual discovery of structural insights and widely applicable proof techniques. This book is the first coherent and up-to-date account of the basic methods an...Lasīt vairāk
Šī grāmata vairs netiek publicēta. Jums tiks paziņota lietotas grāmatas cena
This work presents the most important combinatorial ideas in partition calculus and discusses ordinary partition relations for cardinals without the assumption of the generalized continuum hypothesis. A separate section of the book describes the mai...Lasīt vairāk
