• Home
  • Advanced Search
  • Directory of Libraries
  • About lib.ir
  • Contact Us
  • History

عنوان
Introduction to combinatorics /

پدید آورنده
Martin J. Erickson.

موضوع
Combinatorial analysis.

رده
QA164
.
E74
1996

کتابخانه
Center and Library of Islamic Studies in European Languages

محل استقرار
استان: Qom ـ شهر: Qom

Center and Library of Islamic Studies in European Languages

تماس با کتابخانه : 32910706-025

INTERNATIONAL STANDARD BOOK NUMBER

(Number (ISBN
0471154083 (cloth : alk. paper)
(Number (ISBN
9780471154082 (cloth : alk. paper)

NATIONAL BIBLIOGRAPHY NUMBER

Number
dltt

TITLE AND STATEMENT OF RESPONSIBILITY

Title Proper
Introduction to combinatorics /
General Material Designation
[Book]
First Statement of Responsibility
Martin J. Erickson.

.PUBLICATION, DISTRIBUTION, ETC

Place of Publication, Distribution, etc.
New York :
Name of Publisher, Distributor, etc.
Wiley,
Date of Publication, Distribution, etc.
c1996.

PHYSICAL DESCRIPTION

Specific Material Designation and Extent of Item
xii, 195 p. :
Other Physical Details
ill. ;
Dimensions
25 cm.

SERIES

Series Title
Wiley-Interscience series in discrete mathematics and optimization

GENERAL NOTES

Text of Note
"A Wiley-Interscience publication."

INTERNAL BIBLIOGRAPHIES/INDEXES NOTE

Text of Note
Includes bibliographical references (p. 187-189) and index.

CONTENTS NOTE

Text of Note
Preliminaries: Set theory, algebra, and number theory -- Existence: The pigeonhole principle -- Sequences and partial orders -- Ramsey theory -- Enumeration: The fundamental counting problem -- Recurrence relations and explicit formulas -- Permutations and tableaux -- The Pólya theory of counting -- Construction: Codes -- Designs -- Big designs -- Bibliography -- Index.
0

SUMMARY OR ABSTRACT

Text of Note
This gradual, systematic introduction to the main concepts of combinatorics is the ideal text for advanced undergraduate and early graduate courses in this subject. Each of the book's three sections - Existence, Enumeration, and Construction - begins with a simply stated, first principle, which is then developed step by step until it leads to one of the three major achievements of combinatorics: Van der Waerden's theorem on arithmetic progressions, Polya's graph enumeration formula, and Leech's 24-dimensional lattice. Along the way, Professor Martin J. Erickson introduces fundamental results discusses interconnection and problem-solving techniques, and collects and disseminates open problems that raise new and innovative questions and observations. His carefully chosen end-of-chapter exercises demonstrate the applicability of combinatorial methods to a wide variety of problems, including many drawn from the William Lowell Putnam Mathematical Competition. Many important combinatorial methods are revisited several times in the course of the text - in exercises and examples as well as theorems and proofs. This repetition enables students to build confidence and reinforce their understanding of complex material. Mathematicians, statisticians, and computer scientists profit greatly from a solid foundation in combinatorics. Introduction to Combinatorics builds that foundation in an orderly, methodical, and highly accessible manner.

TOPICAL NAME USED AS SUBJECT

Combinatorial analysis.

LIBRARY OF CONGRESS CLASSIFICATION

Class number
QA164
Book number
.
E74
1996

PERSONAL NAME - PRIMARY RESPONSIBILITY

Erickson, Martin J.,1963-

ORIGINATING SOURCE

Date of Transaction
20140218102802.0

ELECTRONIC LOCATION AND ACCESS

Electronic name
 مطالعه متن کتاب 

[Book]

Y

Proposal/Bug Report

Warning! Enter The Information Carefully
Send Cancel
This website is managed by Dar Al-Hadith Scientific-Cultural Institute and Computer Research Center of Islamic Sciences (also known as Noor)
Libraries are responsible for the validity of information, and the spiritual rights of information are reserved for them
Best Searcher - The 5th Digital Media Festival