عنوان

Combinatorics /

(Number (ISBN

131515336X

(Number (ISBN

1498780261

(Number (ISBN

9781315153360

(Number (ISBN

9781498780261

Erroneous ISBN

1498780253

Erroneous ISBN

9781498780254

Title Proper

Combinatorics /

General Material Designation

[Book]

First Statement of Responsibility

Nicholas A. Loehr.

Edition Statement

Second edition.

Place of Publication, Distribution, etc.

Boca Raton, FL :

Name of Publisher, Distributor, etc.

CRC Press,

Date of Publication, Distribution, etc.

[2018]

Date of Publication, Distribution, etc.

©2018

Specific Material Designation and Extent of Item

1 online resource (xxiv, 618 pages) :

Other Physical Details

illustrations

Series Title

Discrete Mathematics and Its Applications

Text of Note

Includes bibliographical references and index.

Text of Note

Basic counting -- Combinatorial identities and recursions -- Counting problems in graph theory -- Inclusion-exclusion, involutions, and Möbius inversion -- Generating functions -- Ranking, unranking, and successor algorithms -- Groups, permutations, and group actions -- Permutation statistics and q-analogues -- Tableaux and symmetric polynomials -- Abaci and antisymmetric polynomials -- Algebraic aspects of generating functions -- Additional topics.

0

Text of Note

"Combinatorics, Second Edition is a well-rounded, general introduction to the subjects of enumerative, bijective, and algebraic combinatorics. The textbook emphasizes bijective proofs, which provide elegant solutions to counting problems by setting up one-to-one correspondences between two sets of combinatorial objects. The author has written the textbook to be accessible to readers without any prior background in abstract algebra or combinatorics. Part I of the second edition develops an array of mathematical tools to solve counting problems: basic counting rules, recursions, inclusion-exclusion techniques, generating functions, bijective proofs, and linear algebraic methods. These tools are used to analyze combinatorial structures such as words, permutations, subsets, functions, graphs, trees, lattice paths, and much more. Part II cover topics in algebraic combinatorics including group actions, permutation statistics, symmetric functions, and tableau combinatorics. This edition provides greater coverage of the use of ordinary and exponential generating functions as a problem-solving tool. Along with two new chapters, several new sections, and improved exposition throughout, the textbook is brimming with many examples and exercises of various levels of difficulty."--Provided by publisher.

Title

Combinatorics.

International Standard Book Number

9781498780254

Combinatorial analysis.

Combinatorial analysis.

MATHEMATICS-- Applied.

MATHEMATICS-- Combinatorics.

Number

Class number

Book number

Loehr, Nicholas

Date of Transaction

20200822171120.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y