MARC details
000 -LEADER |
fixed length control field |
02836nam a22002777a 4500 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
OSt |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20250616095347.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
250613b |||||||| |||| 00| 0 hin d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9789349750302 |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
NISER LIBRARY |
Language of cataloging |
eng |
Transcribing agency |
NISER LIBRARY |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
519.11 |
Item number |
WAG-F |
100 ## - MAIN ENTRY--PERSONAL NAME |
Personal name |
Wagner, Carl G. |
245 ## - TITLE STATEMENT |
Title |
First course in enumerative combinatorics |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc. |
India : |
Name of publisher, distributor, etc. |
Universities Press, |
Date of publication, distribution, etc. |
2025. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xvii, 272 pages : |
Other physical details |
illustrations ; |
Dimensions |
26 cm |
490 ## - SERIES STATEMENT |
Series statement |
Pure and applied undergraduate texts, |
Volume/sequential designation |
49 |
International Standard Serial Number |
1943-9334 ; |
490 ## - SERIES STATEMENT |
Series statement |
The Sally series |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references and index. |
520 ## - SUMMARY, ETC. |
Summary, etc. |
A First Course in Enumerative Combinatorics provides an introduction to the fundamentals of enumeration for advanced undergraduates and beginning graduate students in the mathematical sciences. The book offers a careful and comprehensive account of the standard tools of enumeration—recursion, generating functions, sieve and inversion formulas, enumeration under group actions—and their application to counting problems for the fundamental structures of discrete mathematics, including sets and multisets, words and permutations, partitions of sets and integers, and graphs and trees. The author's exposition has been strongly influenced by the work of Rota and Stanley, highlighting bijective proofs, partially ordered sets, and an emphasis on organizing the subject under various unifying themes, including the theory of incidence algebras. In addition, there are distinctive chapters on the combinatorics of finite vector spaces, a detailed account of formal power series, and combinatorial number theory.<br/><br/>The reader is assumed to have a knowledge of basic linear algebra and some familiarity with power series. There are over 200 well-designed exercises ranging in difficulty from straightforward to challenging. There are also sixteen large-scale honors projects on special topics appearing throughout the text. The author is a distinguished combinatorialist and award-winning teacher, and he is currently Professor Emeritus of Mathematics and Adjunct Professor of Philosophy at the University of Tennessee. He has published widely in number theory, combinatorics, probability, decision theory, and formal epistemology. His Erdős number is 2. |
521 ## - TARGET AUDIENCE NOTE |
Target audience note |
Readership: Undergraduate and graduate students interested in combinatorics. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Combinatorial enumeration problems |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Combinatorics |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Table of contents |
Uniform Resource Identifier |
<a href="https://www.ams.org/bookstore/pspdf/amstext-49-toc.pdf?_gl=1*1jeizwi*_ga*NzkyMDE0ODczLjE3NTAwNDYzMjU.*_ga_26G4XFTR63*czE3NTAwNDYzMjQkbzEkZzEkdDE3NTAwNDY0MDAkajU4JGwwJGgw">https://www.ams.org/bookstore/pspdf/amstext-49-toc.pdf?_gl=1*1jeizwi*_ga*NzkyMDE0ODczLjE3NTAwNDYzMjU.*_ga_26G4XFTR63*czE3NTAwNDYzMjQkbzEkZzEkdDE3NTAwNDY0MDAkajU4JGwwJGgw</a> |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Reviews |
Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/55722553-a-first-course-in-enumerative-combinatorics#CommunityReviews">https://www.goodreads.com/book/show/55722553-a-first-course-in-enumerative-combinatorics#CommunityReviews</a> |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
Universal Decimal Classification |
Koha item type |
NBHM Books |