Fundamentals of Ramsey theory:
"Ramsey theory is a fascinating topic. The author shares his view of the topic in this contemporary overview of Ramsey theory. He presents from several points of view, adding intuition and detailed proofs, in an accessible manner unique among most books on the topic. This book covers all of the...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton ; London ; New York
CRC Press, Taylor & Francis Group
2021
|
| Ausgabe: | First edition |
| Schriftenreihe: | Discrete mathematics and its applications
|
| Schlagworte: | |
| Zusammenfassung: | "Ramsey theory is a fascinating topic. The author shares his view of the topic in this contemporary overview of Ramsey theory. He presents from several points of view, adding intuition and detailed proofs, in an accessible manner unique among most books on the topic. This book covers all of the main results in Ramsey theory along with results that have not appeared in a book before. The presentation is comprehensive and reader friendly. The book covers integer, graph, and Euclidean Ramsey theory with many proofs being combinatorial in nature. The author motivates topics and discussion, rather than just a list of theorems and proofs. In order to engage the reader, each chapter has a section of exercises. This up-to-date book introduces the field of Ramsey theory from several different viewpoints so that the reader can decide which flavor of Ramsey theory best suits them. Additionally, the book offers: A chapter providing different approaches to Ramsey theory, e.g., using topological dynamics, ergodic systems, and algebra in the Stone-Čech compactification of the integers. A chapter on the probabilistic method since it is quite central to Ramsey-type numbers. A unique chapter presenting some applications of Ramsey theory. Exercises in every chapter The intended audience consists of students and mathematicians desiring to learn about Ramsey theory. An undergraduate degree in mathematics (or its equivalent for advanced undergraduates) and a combinatorics course is assumed"-- |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | xiii, 241 Seiten |
| ISBN: | 9781138364332 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV047396865 | ||
| 003 | DE-604 | ||
| 005 | 20210817 | ||
| 007 | t | ||
| 008 | 210802s2021 xxu |||| 00||| eng d | ||
| 020 | |a 9781138364332 |c Festeinband |9 978-1-138-36433-2 | ||
| 035 | |a (OCoLC)1237751264 | ||
| 035 | |a (DE-599)KXP1747141585 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a xxu |c XD-US | ||
| 049 | |a DE-20 | ||
| 050 | 0 | |a QA166 | |
| 082 | 0 | |a 511.5 | |
| 084 | |a SK 170 |0 (DE-625)143221: |2 rvk | ||
| 100 | 1 | |a Robertson, Aaron |d 1971- |e Verfasser |0 (DE-588)1146484380 |4 aut | |
| 245 | 1 | 0 | |a Fundamentals of Ramsey theory |c Aaron Robertson, Colgate University |
| 250 | |a First edition | ||
| 264 | 1 | |a Boca Raton ; London ; New York |b CRC Press, Taylor & Francis Group |c 2021 | |
| 300 | |a xiii, 241 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Discrete mathematics and its applications | |
| 500 | |a Includes bibliographical references and index | ||
| 520 | 3 | |a "Ramsey theory is a fascinating topic. The author shares his view of the topic in this contemporary overview of Ramsey theory. He presents from several points of view, adding intuition and detailed proofs, in an accessible manner unique among most books on the topic. This book covers all of the main results in Ramsey theory along with results that have not appeared in a book before. The presentation is comprehensive and reader friendly. The book covers integer, graph, and Euclidean Ramsey theory with many proofs being combinatorial in nature. The author motivates topics and discussion, rather than just a list of theorems and proofs. In order to engage the reader, each chapter has a section of exercises. This up-to-date book introduces the field of Ramsey theory from several different viewpoints so that the reader can decide which flavor of Ramsey theory best suits them. Additionally, the book offers: A chapter providing different approaches to Ramsey theory, e.g., using topological dynamics, ergodic systems, and algebra in the Stone-Čech compactification of the integers. A chapter on the probabilistic method since it is quite central to Ramsey-type numbers. A unique chapter presenting some applications of Ramsey theory. Exercises in every chapter The intended audience consists of students and mathematicians desiring to learn about Ramsey theory. An undergraduate degree in mathematics (or its equivalent for advanced undergraduates) and a combinatorics course is assumed"-- | |
| 653 | 0 | |a Ramsey theory | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-0-429-43141-8 |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-032798046 | ||
Datensatz im Suchindex
| _version_ | 1804182654149459968 |
|---|---|
| adam_txt | |
| any_adam_object | |
| any_adam_object_boolean | |
| author | Robertson, Aaron 1971- |
| author_GND | (DE-588)1146484380 |
| author_facet | Robertson, Aaron 1971- |
| author_role | aut |
| author_sort | Robertson, Aaron 1971- |
| author_variant | a r ar |
| building | Verbundindex |
| bvnumber | BV047396865 |
| callnumber-first | Q - Science |
| callnumber-label | QA166 |
| callnumber-raw | QA166 |
| callnumber-search | QA166 |
| callnumber-sort | QA 3166 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 170 |
| ctrlnum | (OCoLC)1237751264 (DE-599)KXP1747141585 |
| dewey-full | 511.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.5 |
| dewey-search | 511.5 |
| dewey-sort | 3511.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | First edition |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02677nam a2200373 c 4500</leader><controlfield tag="001">BV047396865</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20210817 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">210802s2021 xxu |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781138364332</subfield><subfield code="c">Festeinband</subfield><subfield code="9">978-1-138-36433-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1237751264</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)KXP1747141585</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">XD-US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-20</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA166</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511.5</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 170</subfield><subfield code="0">(DE-625)143221:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Robertson, Aaron</subfield><subfield code="d">1971-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1146484380</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Fundamentals of Ramsey theory</subfield><subfield code="c">Aaron Robertson, Colgate University</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">First edition</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boca Raton ; London ; New York</subfield><subfield code="b">CRC Press, Taylor & Francis Group</subfield><subfield code="c">2021</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xiii, 241 Seiten</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Discrete mathematics and its applications</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index</subfield></datafield><datafield tag="520" ind1="3" ind2=" "><subfield code="a">"Ramsey theory is a fascinating topic. The author shares his view of the topic in this contemporary overview of Ramsey theory. He presents from several points of view, adding intuition and detailed proofs, in an accessible manner unique among most books on the topic. This book covers all of the main results in Ramsey theory along with results that have not appeared in a book before. The presentation is comprehensive and reader friendly. The book covers integer, graph, and Euclidean Ramsey theory with many proofs being combinatorial in nature. The author motivates topics and discussion, rather than just a list of theorems and proofs. In order to engage the reader, each chapter has a section of exercises. This up-to-date book introduces the field of Ramsey theory from several different viewpoints so that the reader can decide which flavor of Ramsey theory best suits them. Additionally, the book offers: A chapter providing different approaches to Ramsey theory, e.g., using topological dynamics, ergodic systems, and algebra in the Stone-Čech compactification of the integers. A chapter on the probabilistic method since it is quite central to Ramsey-type numbers. A unique chapter presenting some applications of Ramsey theory. Exercises in every chapter The intended audience consists of students and mathematicians desiring to learn about Ramsey theory. An undergraduate degree in mathematics (or its equivalent for advanced undergraduates) and a combinatorics course is assumed"--</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Ramsey theory</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-0-429-43141-8</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-032798046</subfield></datafield></record></collection> |
| id | DE-604.BV047396865 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T17:51:17Z |
| indexdate | 2024-07-10T09:10:59Z |
| institution | BVB |
| isbn | 9781138364332 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032798046 |
| oclc_num | 1237751264 |
| open_access_boolean | |
| owner | DE-20 |
| owner_facet | DE-20 |
| physical | xiii, 241 Seiten |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | CRC Press, Taylor & Francis Group |
| record_format | marc |
| series2 | Discrete mathematics and its applications |
| spelling | Robertson, Aaron 1971- Verfasser (DE-588)1146484380 aut Fundamentals of Ramsey theory Aaron Robertson, Colgate University First edition Boca Raton ; London ; New York CRC Press, Taylor & Francis Group 2021 xiii, 241 Seiten txt rdacontent n rdamedia nc rdacarrier Discrete mathematics and its applications Includes bibliographical references and index "Ramsey theory is a fascinating topic. The author shares his view of the topic in this contemporary overview of Ramsey theory. He presents from several points of view, adding intuition and detailed proofs, in an accessible manner unique among most books on the topic. This book covers all of the main results in Ramsey theory along with results that have not appeared in a book before. The presentation is comprehensive and reader friendly. The book covers integer, graph, and Euclidean Ramsey theory with many proofs being combinatorial in nature. The author motivates topics and discussion, rather than just a list of theorems and proofs. In order to engage the reader, each chapter has a section of exercises. This up-to-date book introduces the field of Ramsey theory from several different viewpoints so that the reader can decide which flavor of Ramsey theory best suits them. Additionally, the book offers: A chapter providing different approaches to Ramsey theory, e.g., using topological dynamics, ergodic systems, and algebra in the Stone-Čech compactification of the integers. A chapter on the probabilistic method since it is quite central to Ramsey-type numbers. A unique chapter presenting some applications of Ramsey theory. Exercises in every chapter The intended audience consists of students and mathematicians desiring to learn about Ramsey theory. An undergraduate degree in mathematics (or its equivalent for advanced undergraduates) and a combinatorics course is assumed"-- Ramsey theory Erscheint auch als Online-Ausgabe 978-0-429-43141-8 |
| spellingShingle | Robertson, Aaron 1971- Fundamentals of Ramsey theory |
| title | Fundamentals of Ramsey theory |
| title_auth | Fundamentals of Ramsey theory |
| title_exact_search | Fundamentals of Ramsey theory |
| title_exact_search_txtP | Fundamentals of Ramsey theory |
| title_full | Fundamentals of Ramsey theory Aaron Robertson, Colgate University |
| title_fullStr | Fundamentals of Ramsey theory Aaron Robertson, Colgate University |
| title_full_unstemmed | Fundamentals of Ramsey theory Aaron Robertson, Colgate University |
| title_short | Fundamentals of Ramsey theory |
| title_sort | fundamentals of ramsey theory |
| work_keys_str_mv | AT robertsonaaron fundamentalsoframseytheory |