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Author : Douglas B. West
Publisher : Cambridge University Press
Page : 990 pages
File Size : 43,6 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 : Herbert John Ryser
Publisher : American Mathematical Soc.
Page : 154 pages
File Size : 48,6 Mb
Release : 1963-12-31
Category : Combinatorial analysis
ISBN : 9781614440147
Herbert J. Ryser is widely regarded as one of the major figures in combinatorics in the 20th century. His Combinatorial Mathematics is a classic which has enticed many young mathematics students into this area.
Author : George Pólya
Publisher : Unknown
Page : 644 pages
File Size : 53,6 Mb
Release : 1981
Category : Mathematics
ISBN : PSU:000006603465
Author : Ralph P. Grimaldi
Publisher : Unknown
Page : 930 pages
File Size : 54,9 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 : Alexander Soifer
Publisher : Springer Science & Business Media
Page : 292 pages
File Size : 42,6 Mb
Release : 2010-06-15
Category : Mathematics
ISBN : 9780387754697
Geometric Etudes in Combinatorial Mathematics is not only educational, it is inspirational. This distinguished mathematician captivates the young readers, propelling them to search for solutions of life’s problems—problems that previously seemed hopeless. Review from the first edition: The etudes presented here are not simply those of Czerny, but are better compared to the etudes of Chopin, not only technically demanding and addressed to a variety of specific skills, but at the same time possessing an exceptional beauty that characterizes the best of art...Keep this book at hand as you plan your next problem solving seminar. —The American Mathematical Monthly
Author : Jiri Herman,Radan Kucera,Jaromir Simsa
Publisher : Springer Science & Business Media
Page : 402 pages
File Size : 44,5 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9781475739251
This book presents methods of solving problems in three areas of elementary combinatorial mathematics: classical combinatorics, combinatorial arithmetic, and combinatorial geometry. Brief theoretical discussions are immediately followed by carefully worked-out examples of increasing degrees of difficulty and by exercises that range from routine to rather challenging. The book features approximately 310 examples and 650 exercises.
Author : Kenneth H. Rosen
Publisher : CRC Press
Page : 1611 pages
File Size : 44,7 Mb
Release : 2017-10-19
Category : Mathematics
ISBN : 9781351644051
Handbook of Discrete and Combinatorial Mathematics provides a comprehensive reference volume for mathematicians, computer scientists, engineers, as well as students and reference librarians. The material is presented so that key information can be located and used quickly and easily. Each chapter includes a glossary. Individual topics are covered in sections and subsections within chapters, each of which is organized into clearly identifiable parts: definitions, facts, and examples. Examples are provided to illustrate some of the key definitions, facts, and algorithms. Some curious and entertaining facts and puzzles are also included. Readers will also find an extensive collection of biographies. This second edition is a major revision. It includes extensive additions and updates. Since the first edition appeared in 1999, many new discoveries have been made and new areas have grown in importance, which are covered in this edition.
Author : Bruce E. Sagan
Publisher : American Mathematical Soc.
Page : 304 pages
File Size : 43,7 Mb
Release : 2020-10-16
Category : Education
ISBN : 9781470460327
This book is a gentle introduction to the enumerative part of combinatorics suitable for study at the advanced undergraduate or beginning graduate level. In addition to covering all the standard techniques for counting combinatorial objects, the text contains material from the research literature which has never before appeared in print, such as the use of quotient posets to study the Möbius function and characteristic polynomial of a partially ordered set, or the connection between quasisymmetric functions and pattern avoidance. The book assumes minimal background, and a first course in abstract algebra should suffice. The exposition is very reader friendly: keeping a moderate pace, using lots of examples, emphasizing recurring themes, and frankly expressing the delight the author takes in mathematics in general and combinatorics in particular.
Author : D. A. Holton,J. Seberry
Publisher : Springer
Page : 364 pages
File Size : 44,9 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540357025
Author : Pavle Mladenović
Publisher : Springer
Page : 365 pages
File Size : 49,6 Mb
Release : 2019-03-13
Category : Mathematics
ISBN : 9783030008314
This text provides a theoretical background for several topics in combinatorial mathematics, such as enumerative combinatorics (including partitions and Burnside's lemma), magic and Latin squares, graph theory, extremal combinatorics, mathematical games and elementary probability. A number of examples are given with explanations while the book also provides more than 300 exercises of different levels of difficulty that are arranged at the end of each chapter, and more than 130 additional challenging problems, including problems from mathematical olympiads. Solutions or hints to all exercises and problems are included. The book can be used by secondary school students preparing for mathematical competitions, by their instructors, and by undergraduate students. The book may also be useful for graduate students and for researchers that apply combinatorial methods in different areas.
Author : George Polya,Robert E. Tarjan,Donald R. Woods
Publisher : Springer Science & Business Media
Page : 202 pages
File Size : 46,5 Mb
Release : 2013-11-27
Category : Science
ISBN : 9781475711011
In the winter of 1978, Professor George P61ya and I jointly taught Stanford University's introductory combinatorics course. This was a great opportunity for me, as I had known of Professor P61ya since having read his classic book, How to Solve It, as a teenager. Working with P6lya, who ·was over ninety years old at the time, was every bit as rewarding as I had hoped it would be. His creativity, intelligence, warmth and generosity of spirit, and wonderful gift for teaching continue to be an inspiration to me. Combinatorics is one of the branches of mathematics that play a crucial role in computer sCience, since digital computers manipulate discrete, finite objects. Combinatorics impinges on computing in two ways. First, the properties of graphs and other combinatorial objects lead directly to algorithms for solving graph-theoretic problems, which have widespread application in non-numerical as well as in numerical computing. Second, combinatorial methods provide many analytical tools that can be used for determining the worst-case and expected performance of computer algorithms. A knowledge of combinatorics will serve the computer scientist well. Combinatorics can be classified into three types: enumerative, eXistential, and constructive. Enumerative combinatorics deals with the counting of combinatorial objects. Existential combinatorics studies the existence or nonexistence of combinatorial configurations.
Author : D.A. Holton
Publisher : Springer
Page : 158 pages
File Size : 46,8 Mb
Release : 2006-08-01
Category : Mathematics
ISBN : 9783540378372
Author : R. W. Robinson,G. W. Southern,W. D. Wallis
Publisher : Springer
Page : 270 pages
File Size : 44,5 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540383765
Author : C. H. C. Little
Publisher : Springer
Page : 224 pages
File Size : 51,7 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540370208
Author : Ilias S. Kotsireas,Eugene V. Zima
Publisher : Springer Science & Business Media
Page : 180 pages
File Size : 45,5 Mb
Release : 2009-11-06
Category : Mathematics
ISBN : 9783642035623
The Second Waterloo Workshop on Computer Algebra was dedicated to the 70th birthday of combinatorics pioneer Georgy Egorychev. This book of formally-refereed papers submitted after that workshop covers topics closely related to Egorychev’s influential works.
