MARC details
000 -LEADER |
fixed length control field |
02347nam a22003977a 4500 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
IIITD |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20250429101509.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
250427b |||||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783030563943 |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
IIITD |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
516.13 |
Item number |
DOU-C |
100 ## - MAIN ENTRY--PERSONAL NAME |
Personal name |
Dougherty, Steven T. |
245 ## - TITLE STATEMENT |
Title |
Combinatorics and finite geometry |
Statement of responsibility, etc |
by Steven T. Dougherty |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc |
Switzerland : |
Name of publisher, distributor, etc |
Springer, |
Date of publication, distribution, etc |
©2020 |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xv, 369 p. : |
Other physical details |
ill. ; |
Dimensions |
24 cm. |
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Springer undergraduate mathematics series |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references and index |
505 ## - FORMATTED CONTENTS NOTE |
Title |
1. Foundational combinatorial structures |
505 ## - FORMATTED CONTENTS NOTE |
Title |
2. Foundational algebraic structures |
505 ## - FORMATTED CONTENTS NOTE |
Title |
3. Mutually orthogonal latin squares |
505 ## - FORMATTED CONTENTS NOTE |
Title |
4. Affine and projective planes |
505 ## - FORMATTED CONTENTS NOTE |
Title |
5. Graphs |
505 ## - FORMATTED CONTENTS NOTE |
Title |
6. Higher dimensional finite geometry |
505 ## - FORMATTED CONTENTS NOTE |
Title |
7. Designs |
505 ## - FORMATTED CONTENTS NOTE |
Title |
8. Combinatorial objects |
505 ## - FORMATTED CONTENTS NOTE |
Title |
9. Discrete probability - a return to counting |
505 ## - FORMATTED CONTENTS NOTE |
Title |
10. Automorphism groups |
505 ## - FORMATTED CONTENTS NOTE |
Title |
11. Codes |
505 ## - FORMATTED CONTENTS NOTE |
Title |
12. Cryptology |
505 ## - FORMATTED CONTENTS NOTE |
Title |
13. Games and designs |
520 ## - SUMMARY, ETC. |
Summary, etc |
This undergraduate textbook is suitable for introductory classes in combinatorics and related topics. The book covers a wide range of both pure and applied combinatorics, beginning with the very basics of enumeration and then going on to Latin squares, graphs and designs. The latter topic is closely related to finite geometry, which is developed in parallel. Applications to probability theory, algebra, coding theory, cryptology and combinatorial game theory comprise the later chapters. Throughout the book, examples and exercises illustrate the material, and the interrelations between the various topics is emphasized. Readers looking to take first steps toward the study of combinatorics, finite geometry, design theory, coding theory, or cryptology will find this book valuable. Essentially self-contained, there are very few prerequisites aside from some mathematical maturity, and the little algebra required is covered in the text. The book is also a valuable resource for anyone interested in discrete mathematics as it ties together a wide variety of topics. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Algebraic geometry |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Discrete geometry |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Convex and Discrete Geometry |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Koha item type |
Books |
Source of classification or shelving scheme |
Dewey Decimal Classification |