Combinatorics :: a guided tour /
Combinatorics is mathematics of enumeration, existence, construction, and optimization questions concerning finite sets. This text focuses on the first three types of questions and covers basic counting and existence principles, distributions, generating functions, recurrence relations, Pólya theor...
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1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Washington, DC :
Mathematical Association of America,
[2010]
|
Schriftenreihe: | MAA textbooks.
|
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | Combinatorics is mathematics of enumeration, existence, construction, and optimization questions concerning finite sets. This text focuses on the first three types of questions and covers basic counting and existence principles, distributions, generating functions, recurrence relations, Pólya theory, combinatorial designs, error correcting codes, partially ordered sets, and selected applications to graph theory including the enumeration of trees, the chromatic polynomial, and introductory Ramsey theory. The only prerequisites are single-variable calculus and familiarity with sets and basic proof techniques. The text emphasizes the brands of thinking that are characteristic of combinatorics: bijective and combinatorial proofs, recursive analysis, and counting problem classification. |
Beschreibung: | 1 online resource (xviii, 391 pages) : illustrations |
Bibliographie: | Includes bibliographical references (pages 365-367) and index. |
ISBN: | 9781614446071 1614446075 9781470453015 1470453010 |
Internformat
MARC
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100 | 1 | |a Mazur, David R. | |
245 | 1 | 0 | |a Combinatorics : |b a guided tour / |c David R. Mazur. |
264 | 1 | |a Washington, DC : |b Mathematical Association of America, |c [2010] | |
300 | |a 1 online resource (xviii, 391 pages) : |b illustrations | ||
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490 | 1 | |a MAA textbooks ; |v vol. 55 | |
504 | |a Includes bibliographical references (pages 365-367) and index. | ||
505 | 0 | |a Ch. 1 . Principles of Combinatorics -- ch. 2. Distributions and Combinatorial Proofs -- ch. 3. Algebraic Tools -- ch. 4. Famous Number Families -- ch. 5. Counting Under Equivalence -- ch. 6. Combinatorics on Graphs -- ch. 7. Designs and Codes -- ch. 8. Partially Ordered Sets. | |
588 | 0 | |a Online resource; title from digital title page (viewed on March 26, 2020). | |
520 | |a Combinatorics is mathematics of enumeration, existence, construction, and optimization questions concerning finite sets. This text focuses on the first three types of questions and covers basic counting and existence principles, distributions, generating functions, recurrence relations, Pólya theory, combinatorial designs, error correcting codes, partially ordered sets, and selected applications to graph theory including the enumeration of trees, the chromatic polynomial, and introductory Ramsey theory. The only prerequisites are single-variable calculus and familiarity with sets and basic proof techniques. The text emphasizes the brands of thinking that are characteristic of combinatorics: bijective and combinatorial proofs, recursive analysis, and counting problem classification. | ||
650 | 0 | |a Combinatorial analysis. |0 http://id.loc.gov/authorities/subjects/sh85028802 | |
650 | 6 | |a Analyse combinatoire. | |
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650 | 7 | |a Combinatorial analysis |2 fast | |
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DE-BY-FWS_katkey | ZDB-4-EBA-ocn811563656 |
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adam_text | |
any_adam_object | |
author | Mazur, David R. |
author_facet | Mazur, David R. |
author_role | |
author_sort | Mazur, David R. |
author_variant | d r m dr drm |
building | Verbundindex |
bvnumber | localFWS |
callnumber-first | Q - Science |
callnumber-label | QA164 |
callnumber-raw | QA164 .M398 2010 |
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contents | Ch. 1 . Principles of Combinatorics -- ch. 2. Distributions and Combinatorial Proofs -- ch. 3. Algebraic Tools -- ch. 4. Famous Number Families -- ch. 5. Counting Under Equivalence -- ch. 6. Combinatorics on Graphs -- ch. 7. Designs and Codes -- ch. 8. Partially Ordered Sets. |
ctrlnum | (OCoLC)811563656 |
dewey-full | 511.6 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 511 - General principles of mathematics |
dewey-raw | 511.6 |
dewey-search | 511.6 |
dewey-sort | 3511.6 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
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illustrated | Illustrated |
indexdate | 2024-11-27T13:24:58Z |
institution | BVB |
isbn | 9781614446071 1614446075 9781470453015 1470453010 |
language | English |
oclc_num | 811563656 |
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physical | 1 online resource (xviii, 391 pages) : illustrations |
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spelling | Mazur, David R. Combinatorics : a guided tour / David R. Mazur. Washington, DC : Mathematical Association of America, [2010] 1 online resource (xviii, 391 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file MAA textbooks ; vol. 55 Includes bibliographical references (pages 365-367) and index. Ch. 1 . Principles of Combinatorics -- ch. 2. Distributions and Combinatorial Proofs -- ch. 3. Algebraic Tools -- ch. 4. Famous Number Families -- ch. 5. Counting Under Equivalence -- ch. 6. Combinatorics on Graphs -- ch. 7. Designs and Codes -- ch. 8. Partially Ordered Sets. Online resource; title from digital title page (viewed on March 26, 2020). Combinatorics is mathematics of enumeration, existence, construction, and optimization questions concerning finite sets. This text focuses on the first three types of questions and covers basic counting and existence principles, distributions, generating functions, recurrence relations, Pólya theory, combinatorial designs, error correcting codes, partially ordered sets, and selected applications to graph theory including the enumeration of trees, the chromatic polynomial, and introductory Ramsey theory. The only prerequisites are single-variable calculus and familiarity with sets and basic proof techniques. The text emphasizes the brands of thinking that are characteristic of combinatorics: bijective and combinatorial proofs, recursive analysis, and counting problem classification. Combinatorial analysis. http://id.loc.gov/authorities/subjects/sh85028802 Analyse combinatoire. MATHEMATICS Combinatorics. bisacsh Combinatorial analysis fast has work: COMBINATORICS (Text) https://id.oclc.org/worldcat/entity/E39PCGTmDdycV9JDwPyBWGd373 https://id.oclc.org/worldcat/ontology/hasWork Print version: Mazur, David R. Combinatorics. Washington, DC : Mathematical Association of America, ©2010 9780883857625 (DLC) 2009937059 (OCoLC)471794290 MAA textbooks. http://id.loc.gov/authorities/names/no2008011989 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=481555 Volltext |
spellingShingle | Mazur, David R. Combinatorics : a guided tour / MAA textbooks. Ch. 1 . Principles of Combinatorics -- ch. 2. Distributions and Combinatorial Proofs -- ch. 3. Algebraic Tools -- ch. 4. Famous Number Families -- ch. 5. Counting Under Equivalence -- ch. 6. Combinatorics on Graphs -- ch. 7. Designs and Codes -- ch. 8. Partially Ordered Sets. Combinatorial analysis. http://id.loc.gov/authorities/subjects/sh85028802 Analyse combinatoire. MATHEMATICS Combinatorics. bisacsh Combinatorial analysis fast |
subject_GND | http://id.loc.gov/authorities/subjects/sh85028802 |
title | Combinatorics : a guided tour / |
title_auth | Combinatorics : a guided tour / |
title_exact_search | Combinatorics : a guided tour / |
title_full | Combinatorics : a guided tour / David R. Mazur. |
title_fullStr | Combinatorics : a guided tour / David R. Mazur. |
title_full_unstemmed | Combinatorics : a guided tour / David R. Mazur. |
title_short | Combinatorics : |
title_sort | combinatorics a guided tour |
title_sub | a guided tour / |
topic | Combinatorial analysis. http://id.loc.gov/authorities/subjects/sh85028802 Analyse combinatoire. MATHEMATICS Combinatorics. bisacsh Combinatorial analysis fast |
topic_facet | Combinatorial analysis. Analyse combinatoire. MATHEMATICS Combinatorics. Combinatorial analysis |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=481555 |
work_keys_str_mv | AT mazurdavidr combinatoricsaguidedtour |