Walk through combinatorics (Record no. 60267)

000 -LEADER
fixed length control field 02902nam a2200253 4500
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240511b 2024|||||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9798886130836 (PB)
041 ## - LANGUAGE CODE
Language code of text/sound track or separate title eng
080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER
Universal Decimal Classification number 511
Item number BONA
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Bona, Miklos
245 ## - TITLE STATEMENT
Title Walk through combinatorics
Sub Title : An introduction to enumeration and graph theory
250 ## - EDITION STATEMENT
Edition statement 5th ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication New Jersey
Name of publisher World Scientific
Year of publication 2024
300 ## - PHYSICAL DESCRIPTION
Number of Pages xxi, 613p.
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes Bibliography (603-606) and Index
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note 1. Seven Is More Than Six. The Pigeon-Hole Principle<br/>2. One Step at a Time. The Method of Mathematical Induction<br/>3. There are a Lot of Them. Elementary Counting Problems<br/>4. No Matter How You Slice It. The Binomial Theorem and Related Identities<br/>5. Divide and Conquer. Partitions<br/>6. Not So Vicious Cycles. Cycles in Permutations<br/>7. You Shall Not Overcount. The Sieve<br/>8. A Function is Worth Many Numbers. Generating Functions<br/>9. Dots and Lines. The Origins of Graph Theory<br/>10. Staying Connected. Trees<br/>11. Finding A Good Match. Coloring and Matching<br/>12. Do Not Cross. Planar Graphs<br/>13. Does it Clique? Ramsey Theory<br/>14. So Hard To Avoid. Subsequence Conditions on Permutations<br/>15. Who Knows What it Looks Like, But it Exists. The Probabilistic Method<br/>16. At Least Some Order. Partial Orders and Lattices<br/>17. As Evenly As Possible. Block Designs and Error Correcting Codes<br/>18. Are They Really Different? Counting Unlabeled Structures<br/>19. The Sooner The Better. Combinatorial Algorithms<br/>20. Does Many Mean More Than One? Computational Complexity
520 ## - SUMMARY, ETC.
Summary, etc The first half of the book walks the reader through methods of counting, both direct elementary methods and the more advanced method of generating functions. Then, in the second half of the book, the reader learns how to apply these methods to fascinating objects, such as graphs, designs, random variables, partially ordered sets, and algorithms. In short, the first half emphasizes depth by discussing counting methods at length; the second half aims for breadth, by showing how numerous the applications of our methods are.<br/><br/>New to this fifth edition of A Walk Through Combinatorics is the addition of Instant Check exercises — more than a hundred in total — which are located at the end of most subsections. As was the case for all previous editions, the exercises sometimes contain new material that was not discussed in the text, allowing instructors to spend more time on a given topic if they wish to do so. With a thorough introduction into enumeration and graph theory, as well as a chapter on permutation patterns (not often covered in other textbooks), this book is well suited for any undergraduate introductory combinatorics class.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Discrete Mathematics
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Combinatorics
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Graph Theory
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Combinatorial Analysis
690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN)
Topical term or geographic name as entry element Mathematics
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type BOOKS
Holdings
Withdrawn status Lost status Damaged status Not for loan Home library Current library Shelving location Full call number Accession Number Koha item type Owner (If the Item is Gratis)
        IMSc Library IMSc Library First Floor, Rack No: 28, Shelf No: 15 511 BONA 77810 BOOKS NBHM through KNR
The Institute of Mathematical Sciences, Chennai, India

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