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Author : Ian Anderson (Ph. D.)
Publisher : Unknown
Page : 146 pages
File Size : 52,8 Mb
Release : 1974
Category : Mathematics
ISBN : UOM:39015014350428
Author : Ian Anderson
Publisher : Unknown
Page : 128 pages
File Size : 40,5 Mb
Release : 1985
Category : Electronic
ISBN : OCLC:1069143997
Author : Jon Lee
Publisher : Cambridge University Press
Page : 232 pages
File Size : 55,7 Mb
Release : 2004-02-09
Category : Business & Economics
ISBN : 0521010128
This self-contained beginning graduate text covers linear and integer programming, polytopes, matroids and matroid optimization, shortest paths, and network flows.
Author : Ian Anderson (Ph. D.)
Publisher : Unknown
Page : 146 pages
File Size : 44,8 Mb
Release : 1974
Category : Mathematics
ISBN : UOM:39015014350428
Author : J. H. van Lint,Richard Michael Wilson
Publisher : Cambridge University Press
Page : 620 pages
File Size : 42,6 Mb
Release : 2001-11-22
Category : Mathematics
ISBN : 0521006015
This is the second edition of a popular book on combinatorics, a subject dealing with ways of arranging and distributing objects, and which involves ideas from geometry, algebra and analysis. The breadth of the theory is matched by that of its applications, which include topics as diverse as codes, circuit design and algorithm complexity. It has thus become essential for workers in many scientific fields to have some familiarity with the subject. The authors have tried to be as comprehensive as possible, dealing in a unified manner with, for example, graph theory, extremal problems, designs, colorings and codes. The depth and breadth of the coverage make the book a unique guide to the whole of the subject. The book is ideal for courses on combinatorical mathematics at the advanced undergraduate or beginning graduate level. Working mathematicians and scientists will also find it a valuable introduction and reference.
Author : Sebastian M. Cioabă,M. Ram Murty
Publisher : Springer Nature
Page : 232 pages
File Size : 52,5 Mb
Release : 2022-07-07
Category : Mathematics
ISBN : 9789811909573
This book discusses the origin of graph theory from its humble beginnings in recreational mathematics to its modern setting or modeling communication networks, as is evidenced by the World Wide Web graph used by many Internet search engines. The second edition of the book includes recent developments in the theory of signed adjacency matrices involving the proof of sensitivity conjecture and the theory of Ramanujan graphs. In addition, the book discusses topics such as Pick’s theorem on areas of lattice polygons and Graham–Pollak’s work on addressing of graphs. The concept of graph is fundamental in mathematics and engineering, as it conveniently encodes diverse relations and facilitates combinatorial analysis of many theoretical and practical problems. The text is ideal for a one-semester course at the advanced undergraduate level or beginning graduate level.
Author : Carl G. Wagner
Publisher : American Mathematical Soc.
Page : 272 pages
File Size : 54,7 Mb
Release : 2020-10-29
Category : Education
ISBN : 9781470459956
A First Course in Enumerative Combinatorics provides an introduction to the fundamentals of enumeration for advanced undergraduates and beginning graduate students in the mathematical sciences. The book offers a careful and comprehensive account of the standard tools of enumeration—recursion, generating functions, sieve and inversion formulas, enumeration under group actions—and their application to counting problems for the fundamental structures of discrete mathematics, including sets and multisets, words and permutations, partitions of sets and integers, and graphs and trees. The author's exposition has been strongly influenced by the work of Rota and Stanley, highlighting bijective proofs, partially ordered sets, and an emphasis on organizing the subject under various unifying themes, including the theory of incidence algebras. In addition, there are distinctive chapters on the combinatorics of finite vector spaces, a detailed account of formal power series, and combinatorial number theory. The reader is assumed to have a knowledge of basic linear algebra and some familiarity with power series. There are over 200 well-designed exercises ranging in difficulty from straightforward to challenging. There are also sixteen large-scale honors projects on special topics appearing throughout the text. The author is a distinguished combinatorialist and award-winning teacher, and he is currently Professor Emeritus of Mathematics and Adjunct Professor of Philosophy at the University of Tennessee. He has published widely in number theory, combinatorics, probability, decision theory, and formal epistemology. His Erdős number is 2.
Author : Ian Anderson
Publisher : Springer Science & Business Media
Page : 200 pages
File Size : 41,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9780857293152
Drawing on many years'experience of teaching discrete mathem atics to students of all levels, Anderson introduces such as pects as enumeration, graph theory and configurations or arr angements. Starting with an introduction to counting and rel ated problems, he moves on to the basic ideas of graph theor y with particular emphasis on trees and planar graphs. He de scribes the inclusion-exclusion principle followed by partit ions of sets which in turn leads to a study of Stirling and Bell numbers. Then follows a treatment of Hamiltonian cycles, Eulerian circuits in graphs, and Latin squares as well as proof of Hall's theorem. He concludes with the constructions of schedules and a brief introduction to block designs. Each chapter is backed by a number of examples, with straightforw ard applications of ideas and more challenging problems.
Author : Douglas B. West
Publisher : Cambridge University Press
Page : 990 pages
File Size : 51,9 Mb
Release : 2020-07-16
Category : Mathematics
ISBN : 9781107058583
This is the most readable and thorough graduate textbook and reference for combinatorics, covering enumeration, graphs, sets, and methods.
Author : Ethan D. Bloch
Publisher : Springer Science & Business Media
Page : 434 pages
File Size : 48,5 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461221302
The aim of this book is to help students write mathematics better. Throughout it are large exercise sets well-integrated with the text and varying appropriately from easy to hard. Basic issues are treated, and attention is given to small issues like not placing a mathematical symbol directly after a punctuation mark. And it provides many examples of what students should think and what they should write and how these two are often not the same.
Author : Ralph P. Grimaldi
Publisher : Unknown
Page : 930 pages
File Size : 42,5 Mb
Release : 2013-07-27
Category : Combinatorial analysis
ISBN : 1292022795
This fifth edition continues to improve on the features that have made it the market leader. The text offers a flexible organization, enabling instructors to adapt the book to their particular courses. The book is both complete and careful, and it continues to maintain its emphasis on algorithms and applications. Excellent exercise sets allow students to perfect skills as they practice. This new edition continues to feature numerous computer science applications-making this the ideal text for preparing students for advanced study.
Author : Russell Merris
Publisher : John Wiley & Sons
Page : 572 pages
File Size : 44,6 Mb
Release : 2003-09-24
Category : Mathematics
ISBN : 9780471458494
A mathematical gem–freshly cleaned and polished This book is intended to be used as the text for a first course in combinatorics. the text has been shaped by two goals, namely, to make complex mathematics accessible to students with a wide range of abilities, interests, and motivations; and to create a pedagogical tool, useful to the broad spectrum of instructors who bring a variety of perspectives and expectations to such a course. Features retained from the first edition: Lively and engaging writing style Timely and appropriate examples Numerous well-chosen exercises Flexible modular format Optional sections and appendices Highlights of Second Edition enhancements: Smoothed and polished exposition, with a sharpened focus on key ideas Expanded discussion of linear codes New optional section on algorithms Greatly expanded hints and answers section Many new exercises and examples
Author : R.B.J.T. Allenby,Alan Slomson
Publisher : CRC Press
Page : 440 pages
File Size : 46,5 Mb
Release : 2011-07-01
Category : Mathematics
ISBN : 9781420082616
Emphasizes a Problem Solving Approach A first course in combinatorics Completely revised, How to Count: An Introduction to Combinatorics, Second Edition shows how to solve numerous classic and other interesting combinatorial problems. The authors take an easily accessible approach that introduces problems before leading into the theory involved. Although the authors present most of the topics through concrete problems, they also emphasize the importance of proofs in mathematics. New to the Second Edition This second edition incorporates 50 percent more material. It includes seven new chapters that cover occupancy problems, Stirling and Catalan numbers, graph theory, trees, Dirichlet’s pigeonhole principle, Ramsey theory, and rook polynomials. This edition also contains more than 450 exercises. Ideal for both classroom teaching and self-study, this text requires only a modest amount of mathematical background. In an engaging way, it covers many combinatorial tools, such as the inclusion-exclusion principle, generating functions, recurrence relations, and Pólya’s counting theorem.
Author : Mark de Longueville
Publisher : Springer Science & Business Media
Page : 246 pages
File Size : 42,6 Mb
Release : 2013
Category : Mathematics
ISBN : 9781441979094
This undergraduate textbook in topological combinatorics covers such topics as fair division, graph coloring problems, evasiveness of graph properties, and embedding problems from discrete geometry. Includes many figures and exercises.
Author : John Harris,Jeffry L. Hirst,Michael Mossinghoff
Publisher : Springer Science & Business Media
Page : 392 pages
File Size : 51,7 Mb
Release : 2009-04-03
Category : Mathematics
ISBN : 9780387797113
These notes were first used in an introductory course team taught by the authors at Appalachian State University to advanced undergraduates and beginning graduates. The text was written with four pedagogical goals in mind: offer a variety of topics in one course, get to the main themes and tools as efficiently as possible, show the relationships between the different topics, and include recent results to convince students that mathematics is a living discipline.