Journal of Combinatorial Theory
Author | : |
Publisher | : |
Total Pages | : 2392 |
Release | : 1905 |
Genre | : Combinatorial analysis |
ISBN | : |
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Author | : |
Publisher | : |
Total Pages | : 2392 |
Release | : 1905 |
Genre | : Combinatorial analysis |
ISBN | : |
Author | : |
Publisher | : |
Total Pages | : 408 |
Release | : 1997 |
Genre | : Combinatorial analysis |
ISBN | : |
Author | : Martin Aigner |
Publisher | : Springer Science & Business Media |
Total Pages | : 493 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642591019 |
This book offers a well-organized, easy-to-follow introduction to combinatorial theory, with examples, notes and exercises. ". . . a very good introduction to combinatorics. This book can warmly be recommended first of all to students interested in combinatorics." Publicationes Mathematicae Debrecen
Author | : |
Publisher | : |
Total Pages | : 504 |
Release | : 1970 |
Genre | : Combinations |
ISBN | : |
Author | : Lorenz J. Halbeisen |
Publisher | : Springer |
Total Pages | : 586 |
Release | : 2017-12-20 |
Genre | : Mathematics |
ISBN | : 3319602314 |
This book, now in a thoroughly revised second edition, provides a comprehensive and accessible introduction to modern set theory. Following an overview of basic notions in combinatorics and first-order logic, the author outlines the main topics of classical set theory in the second part, including Ramsey theory and the axiom of choice. The revised edition contains new permutation models and recent results in set theory without the axiom of choice. The third part explains the sophisticated technique of forcing in great detail, now including a separate chapter on Suslin’s problem. The technique is used to show that certain statements are neither provable nor disprovable from the axioms of set theory. In the final part, some topics of classical set theory are revisited and further developed in light of forcing, with new chapters on Sacks Forcing and Shelah’s astonishing construction of a model with finitely many Ramsey ultrafilters. Written for graduate students in axiomatic set theory, Combinatorial Set Theory will appeal to all researchers interested in the foundations of mathematics. With extensive reference lists and historical remarks at the end of each chapter, this book is suitable for self-study.
Author | : Marshall Hall |
Publisher | : John Wiley & Sons |
Total Pages | : 462 |
Release | : 2011-08-15 |
Genre | : Mathematics |
ISBN | : 1118031113 |
Includes proof of van der Waerden's 1926 conjecture on permanents, Wilson's theorem on asymptotic existence, and other developments in combinatorics since 1967. Also covers coding theory and its important connection with designs, problems of enumeration, and partition. Presents fundamentals in addition to latest advances, with illustrative problems at the end of each chapter. Enlarged appendixes include a longer list of block designs.
Author | : |
Publisher | : |
Total Pages | : 296 |
Release | : 1994 |
Genre | : Combinatorial analysis |
ISBN | : |
Author | : Bernhard Korte |
Publisher | : Springer Science & Business Media |
Total Pages | : 596 |
Release | : 2006-01-27 |
Genre | : Mathematics |
ISBN | : 3540292977 |
This well-written textbook on combinatorial optimization puts special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. The book contains complete (but concise) proofs, as well as many deep results, some of which have not appeared in any previous books.
Author | : B. Chandler |
Publisher | : Springer Science & Business Media |
Total Pages | : 240 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461394872 |
One of the pervasive phenomena in the history of science is the development of independent disciplines from the solution or attempted solutions of problems in other areas of science. In the Twentieth Century, the creation of specialties witqin the sciences has accelerated to the point where a large number of scientists in any major branch of science cannot understand the work of a colleague in another subdiscipline of his own science. Despite this fragmentation, the development of techniques or solutions of problems in one area very often contribute fundamentally to solutions of problems in a seemingly unrelated field. Therefore, an examination of this phenomenon of the formation of independent disciplines within the sciences would contrib ute to the understanding of their evolution in modern times. We believe that in this context the history of combinatorial group theory in the late Nineteenth Century and the Twentieth Century can be used effectively as a case study. It is a reasonably well-defined independent specialty, and yet it is closely related to other mathematical disciplines. The fact that combinatorial group theory has, so far, not been influenced by the practical needs of science and technology makes it possible for us to use combinatorial group theory to exhibit the role of the intellectual aspects of the development of mathematics in a clearcut manner. There are other features of combinatorial group theory which appear to make it a reasona ble choice as the object of a historical study.
Author | : Roger C. Lyndon |
Publisher | : Springer |
Total Pages | : 354 |
Release | : 2015-03-12 |
Genre | : Mathematics |
ISBN | : 3642618960 |
From the reviews: "This book [...] defines the boundaries of the subject now called combinatorial group theory. [...] it is a considerable achievement to have concentrated a survey of the subject into 339 pages. [...] a valuable and welcome addition to the literature, containing many results not previously available in a book. It will undoubtedly become a standard reference." Mathematical Reviews