000 -LEADER |
fixed length control field |
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008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
230831b xxu||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783319138435 |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
511.6 |
Item number |
BEE |
100 ## - MAIN ENTRY--PERSONAL NAME |
Personal name |
Beeler, Robert A. |
245 ## - TITLE STATEMENT |
Title |
How to count : an introduction to combinatorics and its applications |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Name of publisher, distributor, etc |
Springer, |
Date of publication, distribution, etc |
2015 |
Place of publication, distribution, etc |
Cham : |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xv, 361 p. ; |
Other physical details |
ill., |
Dimensions |
25 cm |
365 ## - TRADE PRICE |
Price amount |
59.99 |
Price type code |
EUR |
Unit of pricing |
94.90 |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references and index. |
520 ## - SUMMARY, ETC. |
Summary, etc |
Providing a self-contained resource for upper undergraduate courses in combinatorics, this text emphasizes computation, problem solving, and proof technique. In particular, the book places special emphasis the Principle of Inclusion and Exclusion and the Multiplication Principle. To this end, exercise sets are included at the end of every section, ranging from simple computations (evaluate a formula for a given set of values) to more advanced proofs. The exercises are designed to test students' understanding of new material, while reinforcing a working mastery of the key concepts previously developed in the book. Intuitive descriptions for many abstract techniques are included. Students often struggle with certain topics, such as generating functions, and this intuitive approach to the problem is helpful in their understanding. When possible, the book introduces concepts using combinatorial methods (as opposed to induction or algebra) to prove identities. Students are also asked to prove identities using combinatorial methods as part of their exercises. These methods have several advantages over induction or algebra. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Combinatorial analysis |
|
Topical term or geographic name as entry element |
Combinatorics and graph theory |
|
Topical term or geographic name as entry element |
Mathematics Combinatorics |
|
Topical term or geographic name as entry element |
Probability and Statistics General |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
Books |