principles and techniques in combinatorics

Download Book Principles And Techniques In Combinatorics in PDF format. You can Read Online Principles And Techniques In Combinatorics here in PDF, EPUB, Mobi or Docx formats.

Principles And Techniques In Combinatorics

Author : Chuan-Chong Chen
ISBN : 9810211392
Genre : Mathematics
File Size : 23. 46 MB
Format : PDF, ePub
Download : 468
Read : 355

Get This Book


A textbook suitable for undergraduate courses. The materials are presented very explicitly so that students will find it very easy to read. A wide range of examples, about 500 combinatorial problems taken from various mathematical competitions and exercises are also included.

Principles And Techniques In Combinatorics

Author : Chen Chuan-Chong
ISBN : 9789814365673
Genre : Mathematics
File Size : 43. 39 MB
Format : PDF, Kindle
Download : 171
Read : 259

Get This Book


A textbook suitable for undergraduate courses. The materials are presented very explicitly so that students will find it very easy to read. A wide range of examples, about 500 combinatorial problems taken from various mathematical competitions and exercises are also included. Contents:Permutations and CombinationsBinomial Coefficients and Multinomial CoefficientsThe Pigeonhole Principle and Ramsey NumbersThe Principle of Inclusion and ExclusionGenerating FunctionsRecurrence Relations Readership: Undergraduates, graduates and mathematicians. keywords:Binomial Coefficients;Multinomial Coefficients;Euler ϕ-Function;Enumerative Combinatorics;Addition Principle;Multiplication Principle;Combination;Permutation;Identities;Pigeon Hole Principle;Ramsey Numbers;Principle of Inclusion and Exclusion;Stirling Numbers;Derangements;Problem of Ménages;Sieve of Eratosthenes;Generating Functions;Partitions of Integers;Exponential Generating Functions;Recurrence Relations;Characteristic Polynomial;Catalan Numbers “This book should be a must for all mathematicians who are involved in the training of Mathematical Olympiad teams, but it will also be a valuable source of problems for university courses.” Mathematical Reviews

Principles And Techniques In Combinatorics

Author : Chuan Chong Chen
ISBN : OCLC:641813768
Genre :
File Size : 47. 7 MB
Format : PDF
Download : 605
Read : 212

Get This Book



Combinatorics

Author : Peter J. Cameron
ISBN : 9781107393370
Genre : Mathematics
File Size : 28. 37 MB
Format : PDF, Mobi
Download : 205
Read : 635

Get This Book


Combinatorics is a subject of increasing importance, owing to its links with computer science, statistics and algebra. This is a textbook aimed at second-year undergraduates to beginning graduates. It stresses common techniques (such as generating functions and recursive construction) which underlie the great variety of subject matter and also stresses the fact that a constructive or algorithmic proof is more valuable than an existence proof. The book is divided into two parts, the second at a higher level and with a wider range than the first. Historical notes are included which give a wider perspective on the subject. More advanced topics are given as projects and there are a number of exercises, some with solutions given.

A Course In Combinatorics

Author : J. H. van Lint
ISBN : 0521006015
Genre : Mathematics
File Size : 56. 4 MB
Format : PDF, ePub, Mobi
Download : 767
Read : 1012

Get This Book


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.

Counting The Art Of Enumerative Combinatorics

Author : George E. Martin
ISBN : 9781475748789
Genre : Mathematics
File Size : 68. 55 MB
Format : PDF, Kindle
Download : 128
Read : 1306

Get This Book


This book provides an introduction to discrete mathematics. At the end of the book the reader should be able to answer counting questions such as: How many ways are there to stack n poker chips, each of which can be red, white, blue, or green, such that each red chip is adjacent to at least 1 green chip? The book can be used as a textbook for a semester course at the sophomore level. The first five chapters can also serve as a basis for a graduate course for in-service teachers.

A Walk Through Combinatorics

Author : Mikl¢s B¢na
ISBN : 9789814335232
Genre : Mathematics
File Size : 90. 72 MB
Format : PDF, ePub, Mobi
Download : 689
Read : 1139

Get This Book


Suitable for an introductory combinatorics course lasting one or two semesters, this book includes an extensive list of problems, ranging from routine exercises to research questions. It walks the reader through the classic parts of combinatorial enumeration and graph theory, while also discussing some the progress made in the area.

Constructive Combinatorics

Author : Dennis Stanton
ISBN : 9781461249689
Genre : Mathematics
File Size : 51. 7 MB
Format : PDF
Download : 617
Read : 666

Get This Book


The notes that eventually became this book were written between 1977 and 1985 for the course called Constructive Combinatorics at the University of Minnesota. This is a one-quarter (10 week) course for upper level undergraduate students. The class usually consists of mathematics and computer science majors, with an occasional engineering student. Several graduate students in computer science also attend. At Minnesota, Constructive Combinatorics is the third quarter of a three quarter sequence. The fIrst quarter, Enumerative Combinatorics, is at the level of the texts by Bogart [Bo], Brualdi [Br], Liu [Li] or Tucker [Tu] and is a prerequisite for this course. The second quarter, Graph Theory and Optimization, is not a prerequisite. We assume that the students are familiar with the techniques of enumeration: basic counting principles, generating functions and inclusion/exclusion. This course evolved from a course on combinatorial algorithms. That course contained a mixture of graph algorithms, optimization and listing algorithms. The computer assignments generally consisted of testing algorithms on examples. While we felt that such material was useful and not without mathematical content, we did not think that the course had a coherent mathematical focus. Furthermore, much of it was being taught, or could have been taught, elsewhere. Graph algorithms and optimization, for instance, were inserted into the graph theory course where they naturally belonged. The computer science department already taught some of the material: the simpler algorithms in a discrete mathematics course; effIciency of algorithms in a more advanced course.

Principles Of Combinatorics

Author : Berge
ISBN : 9780080955810
Genre : Computers
File Size : 88. 26 MB
Format : PDF
Download : 609
Read : 323

Get This Book


Berge's Principles of Combinatorics is now an acknowledged classic work of the field. Complementary to his previous books, Berge's introduction deals largely with enumeration. The choice of topics is balanced, the presentation elegant, and the text can be followed by anyone with an interest in the subject with only a little algebra required as a background. Some topics were here described for the first time, including Robinston-Shensted theorum, the Eden-Schutzenberger theorum, and facts connecting Young diagrams, trees, and the symmetric group.

Combinatorics And Graph Theory

Author : John Harris
ISBN : 9780387797113
Genre : Mathematics
File Size : 57. 54 MB
Format : PDF
Download : 707
Read : 376

Get This Book


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.

Top Download:

Best Books