Extremal Combinatorics (Record no. 81722)

000 -LEADER
fixed length control field 04549nam a22005895i 4500
001 - CONTROL NUMBER
control field 978-3-642-17364-6
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20221102211609.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 110831s2011 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783642173646
-- 978-3-642-17364-6
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-642-17364-6
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA75.5-76.95
072 #7 - SUBJECT CATEGORY CODE
Subject category code UYA
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code COM014000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code UYA
Source thema
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 004.0151
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Jukna, Stasys.
Relator term author.
Relationship aut
-- http://id.loc.gov/vocabulary/relators/aut
9 (RLIN) 66782
245 10 - TITLE STATEMENT
Title Extremal Combinatorics
Medium [electronic resource] :
Remainder of title With Applications in Computer Science /
Statement of responsibility, etc. by Stasys Jukna.
250 ## - EDITION STATEMENT
Edition statement 2nd ed. 2011.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Berlin, Heidelberg :
Name of producer, publisher, distributor, manufacturer Springer Berlin Heidelberg :
-- Imprint: Springer,
Date of production, publication, distribution, manufacture, or copyright notice 2011.
300 ## - PHYSICAL DESCRIPTION
Extent XXIV, 412 p.
Other physical details online resource.
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
347 ## - DIGITAL FILE CHARACTERISTICS
File type text file
Encoding format PDF
Source rda
490 1# - SERIES STATEMENT
Series statement Texts in Theoretical Computer Science. An EATCS Series,
International Standard Serial Number 1862-4502
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Preface -- Prolog: What this Book Is About -- Notation -- Counting -- Advanced Counting -- Probabilistic Counting -- The Pigeonhole Principle -- Systems of Distinct Representatives -- Sunflowers -- Intersecting Families -- Chains and Antichains -- Blocking Sets and the Duality -- Density and Universality -- Witness Sets and Isolation -- Designs -- The Basic Method -- Orthogonality and Rank Arguments -- Eigenvalues and Graph Expansion -- The Polynomial Method -- Combinatorics of Codes -- Linearity of Expectation -- The Lovász Sieve -- The Deletion Method -- The Second Moment Method -- The Entropy Function -- Random Walks -- Derandomization -- Ramseyan Theorems for Numbers -- The Hales–Jewett Theorem -- Applications in Communications Complexity -- References -- Index.
520 ## - SUMMARY, ETC.
Summary, etc. This book is a concise, self-contained, up-to-date introduction to extremal combinatorics for nonspecialists. There is a strong emphasis on theorems with particularly elegant and informative proofs, they may be called gems of the theory. The author presents a wide spectrum of the most powerful combinatorial tools together with impressive applications in computer science: methods of extremal set theory, the linear algebra method, the probabilistic method, and fragments of Ramsey theory. No special knowledge in combinatorics or computer science is assumed – the text is self-contained and the proofs can be enjoyed by undergraduate students in mathematics and computer science. Over 300 exercises of varying difficulty, and hints to their solution, complete the text. This second edition has been extended with substantial new material, and has been revised and updated throughout. It offers three new chapters on expander graphs and eigenvalues, the polynomial method and error-correcting codes. Most of the remaining chapters also include new material, such as the Kruskal—Katona theorem on shadows, the Lovász—Stein theorem on coverings, large cliques in dense graphs without induced 4-cycles, a new lower bounds argument for monotone formulas, Dvir's solution of the finite field Kakeya conjecture, Moser's algorithmic version of the Lovász Local Lemma, Schöning's algorithm for 3-SAT, the Szemerédi—Trotter theorem on the number of point-line incidences, surprising applications of expander graphs in extremal number theory, and some other new results.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Computer science.
9 (RLIN) 9832
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Number theory.
9 (RLIN) 13208
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Computer science—Mathematics.
9 (RLIN) 31682
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Discrete mathematics.
9 (RLIN) 12873
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics—Data processing.
9 (RLIN) 31594
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Theory of Computation.
9 (RLIN) 66783
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Number Theory.
9 (RLIN) 13208
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Discrete Mathematics in Computer Science.
9 (RLIN) 31837
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Discrete Mathematics.
9 (RLIN) 12873
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Computational Mathematics and Numerical Analysis.
9 (RLIN) 31598
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
9 (RLIN) 66784
773 0# - HOST ITEM ENTRY
Title Springer Nature eBook
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9783642269905
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9783642173639
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9783642173653
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Texts in Theoretical Computer Science. An EATCS Series,
International Standard Serial Number 1862-4502
9 (RLIN) 66785
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1007/978-3-642-17364-6">https://doi.org/10.1007/978-3-642-17364-6</a>
912 ## -
-- ZDB-2-SCS
912 ## -
-- ZDB-2-SXCS
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type eTextbook

No items available.