Elementary number theory, group theory, and Ramanujan graphs /:
This text is a self contained treatment of expander graphs and in particular their explicit construction. Expander graphs are both highly connected but sparse, and besides their interest within combinatorics and graph theory, they also find various applications in computer science and engineering.
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | , |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York :
Cambridge University Press,
2003.
|
| Series: | London Mathematical Society student texts ;
55. |
| Subjects: | |
| Online Access: | DE-862 DE-863 |
| Summary: | This text is a self contained treatment of expander graphs and in particular their explicit construction. Expander graphs are both highly connected but sparse, and besides their interest within combinatorics and graph theory, they also find various applications in computer science and engineering. |
| Physical Description: | 1 online resource (viii, 144 pages) : illustrations |
| Bibliography: | Includes bibliographical references (pages 138-141) and index. |
| ISBN: | 0511078668 9780511078668 0511077092 9780511077098 9780521824262 9780521531436 0521824265 0521531438 |
Staff View
MARC
| LEADER | 00000cam a22000004a 4500 | ||
|---|---|---|---|
| 001 | ZDB-4-EBA-ocm57418555 | ||
| 003 | OCoLC | ||
| 005 | 20250103110447.0 | ||
| 006 | m o d | ||
| 007 | cr cnu|||unuuu | ||
| 008 | 050113s2003 nyua ob 001 0 eng d | ||
| 040 | |a N$T |b eng |e pn |c N$T |d OCLCQ |d YDXCP |d OCLCQ |d E7B |d IDEBK |d OCLCQ |d MHW |d OCLCQ |d REDDC |d OCLCQ |d EBLCP |d OCLCO |d OCLCQ |d VT2 |d OCLCQ |d DEBSZ |d OCLCQ |d SLY |d NLGGC |d OCLCQ |d COO |d OCLCF |d OCLCQ |d PIFBR |d OCLCQ |d OCLCO |d WY@ |d OCLCO |d LUE |d VTS |d AGLDB |d OCLCA |d REC |d INT |d TOF |d OCLCQ |d G3B |d STF |d OCLCQ |d HS0 |d OCLCO |d K6U |d OCLCO |d OCLCQ |d OCLCO |d OCLCL |d SFB |d UKKRT | ||
| 019 | |a 171136773 |a 489552503 |a 667020887 |a 843868205 |a 880330337 |a 992069150 |a 1048173427 |a 1050973474 | ||
| 020 | |a 0511078668 |q (electronic bk.) | ||
| 020 | |a 9780511078668 |q (electronic bk.) | ||
| 020 | |a 0511077092 | ||
| 020 | |a 9780511077098 | ||
| 020 | |a 9780521824262 |q (hardback) | ||
| 020 | |a 9780521531436 |q (pb.) | ||
| 020 | |a 0521824265 |q (hardback) | ||
| 020 | |a 0521531438 |q (pb.) | ||
| 024 | 3 | |a 9780511078668 |q (electronic bk.) | |
| 035 | |a (OCoLC)57418555 |z (OCoLC)171136773 |z (OCoLC)489552503 |z (OCoLC)667020887 |z (OCoLC)843868205 |z (OCoLC)880330337 |z (OCoLC)992069150 |z (OCoLC)1048173427 |z (OCoLC)1050973474 | ||
| 037 | |b 00004933 | ||
| 050 | 4 | |a QA166 |b .D35 2003eb | |
| 072 | 7 | |a MAT |x 013000 |2 bisacsh | |
| 082 | 7 | |a 511/.5 |2 22 | |
| 084 | |a O157. 5 |2 clc | ||
| 084 | |a SK 180 |2 rvk | ||
| 049 | |a MAIN | ||
| 100 | 1 | |a Davidoff, Giuliana P. | |
| 245 | 1 | 0 | |a Elementary number theory, group theory, and Ramanujan graphs / |c Guiliana Davidoff, Peter Sarnak, Alain Valette. |
| 260 | |a New York : |b Cambridge University Press, |c 2003. | ||
| 300 | |a 1 online resource (viii, 144 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society student texts ; |v 55 | |
| 504 | |a Includes bibliographical references (pages 138-141) and index. | ||
| 505 | 0 | |a Cover; Series-title; Title; Copyright; Contents; Preface; An Overview; Chapter 1 Graph Theory; Chapter 2 Number Theory; Chapter 3 PSL(q); Chapter 4 The Graphs X; Appendix 4-Regular Graphs with Large Girth; Bibliography; Index. | |
| 520 | |a This text is a self contained treatment of expander graphs and in particular their explicit construction. Expander graphs are both highly connected but sparse, and besides their interest within combinatorics and graph theory, they also find various applications in computer science and engineering. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Graph theory. |0 http://id.loc.gov/authorities/subjects/sh85056471 | |
| 650 | 0 | |a Number theory. |0 http://id.loc.gov/authorities/subjects/sh85093222 | |
| 650 | 0 | |a Group theory. |0 http://id.loc.gov/authorities/subjects/sh85057512 | |
| 650 | 6 | |a Théorie des nombres. | |
| 650 | 6 | |a Théorie des groupes. | |
| 650 | 7 | |a MATHEMATICS |x Graphic Methods. |2 bisacsh | |
| 650 | 0 | 7 | |a Graph theory. |2 cct |
| 650 | 0 | 7 | |a Number theory. |2 cct |
| 650 | 0 | 7 | |a Group theory. |2 cct |
| 650 | 7 | |a Graph theory |2 fast | |
| 650 | 7 | |a Group theory |2 fast | |
| 650 | 7 | |a Number theory |2 fast | |
| 650 | 7 | |a Endliche Gruppe |2 gnd | |
| 650 | 7 | |a Graphentheorie |2 gnd |0 http://d-nb.info/gnd/4113782-6 | |
| 650 | 7 | |a Elementare Zahlentheorie |2 gnd |0 http://d-nb.info/gnd/4294368-1 | |
| 655 | 0 | |a Electronic books. | |
| 655 | 4 | |a Electronic books. | |
| 700 | 1 | |a Sarnak, Peter. | |
| 700 | 1 | |a Valette, Alain. | |
| 758 | |i has work: |a Elementary number theory, group theory and Ramanujan graphs (Text) |1 https://id.oclc.org/worldcat/entity/E39PCYHv9xpj6QKDVPpPTy44Rq |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Davidoff, Giuliana P. |t Elementary number theory, group theory, and Ramanujan graphs. |d New York : Cambridge University Press, 2003 |z 0521824265 |z 0521531438 |w (DLC) 2002074057 |w (OCoLC)50253269 |
| 830 | 0 | |a London Mathematical Society student texts ; |v 55. |0 http://id.loc.gov/authorities/names/n84727069 | |
| 966 | 4 | 0 | |l DE-862 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=125136 |3 Volltext |
| 966 | 4 | 0 | |l DE-863 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=125136 |3 Volltext |
| 938 | |a Kortext |b KTXT |n 17011 | ||
| 938 | |a EBL - Ebook Library |b EBLB |n EBL221168 | ||
| 938 | |a ebrary |b EBRY |n ebr10429159 | ||
| 938 | |a EBSCOhost |b EBSC |n 125136 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n 238731 | ||
| 938 | |a YBP Library Services |b YANK |n 2301608 | ||
| 938 | |a YBP Library Services |b YANK |n 2618422 | ||
| 938 | |a YBP Library Services |b YANK |n 3279089 | ||
| 938 | |a YBP Library Services |b YANK |n 7036647 | ||
| 994 | |a 92 |b GEBAY | ||
| 912 | |a ZDB-4-EBA | ||
| 049 | |a DE-862 | ||
| 049 | |a DE-863 | ||
Record in the Search Index
| DE-BY-FWS_katkey | ZDB-4-EBA-ocm57418555 |
|---|---|
| _version_ | 1829094591843794944 |
| adam_text | |
| any_adam_object | |
| author | Davidoff, Giuliana P. |
| author2 | Sarnak, Peter Valette, Alain |
| author2_role | |
| author2_variant | p s ps a v av |
| author_facet | Davidoff, Giuliana P. Sarnak, Peter Valette, Alain |
| author_role | |
| author_sort | Davidoff, Giuliana P. |
| author_variant | g p d gp gpd |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA166 |
| callnumber-raw | QA166 .D35 2003eb |
| callnumber-search | QA166 .D35 2003eb |
| callnumber-sort | QA 3166 D35 42003EB |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 180 |
| collection | ZDB-4-EBA |
| contents | Cover; Series-title; Title; Copyright; Contents; Preface; An Overview; Chapter 1 Graph Theory; Chapter 2 Number Theory; Chapter 3 PSL(q); Chapter 4 The Graphs X; Appendix 4-Regular Graphs with Large Girth; Bibliography; Index. |
| ctrlnum | (OCoLC)57418555 |
| 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 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04564cam a22008654a 4500</leader><controlfield tag="001">ZDB-4-EBA-ocm57418555 </controlfield><controlfield tag="003">OCoLC</controlfield><controlfield tag="005">20250103110447.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr cnu|||unuuu</controlfield><controlfield tag="008">050113s2003 nyua ob 001 0 eng d</controlfield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">N$T</subfield><subfield code="b">eng</subfield><subfield code="e">pn</subfield><subfield code="c">N$T</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">YDXCP</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">E7B</subfield><subfield code="d">IDEBK</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">MHW</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">REDDC</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">EBLCP</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">VT2</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">DEBSZ</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">SLY</subfield><subfield code="d">NLGGC</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">COO</subfield><subfield code="d">OCLCF</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">PIFBR</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">WY@</subfield><subfield code="d">OCLCO</subfield><subfield code="d">LUE</subfield><subfield code="d">VTS</subfield><subfield code="d">AGLDB</subfield><subfield code="d">OCLCA</subfield><subfield code="d">REC</subfield><subfield code="d">INT</subfield><subfield code="d">TOF</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">G3B</subfield><subfield code="d">STF</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">HS0</subfield><subfield code="d">OCLCO</subfield><subfield code="d">K6U</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCL</subfield><subfield code="d">SFB</subfield><subfield code="d">UKKRT</subfield></datafield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">171136773</subfield><subfield code="a">489552503</subfield><subfield code="a">667020887</subfield><subfield code="a">843868205</subfield><subfield code="a">880330337</subfield><subfield code="a">992069150</subfield><subfield code="a">1048173427</subfield><subfield code="a">1050973474</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0511078668</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511078668</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0511077092</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511077098</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780521824262</subfield><subfield code="q">(hardback)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780521531436</subfield><subfield code="q">(pb.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0521824265</subfield><subfield code="q">(hardback)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0521531438</subfield><subfield code="q">(pb.)</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9780511078668</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)57418555</subfield><subfield code="z">(OCoLC)171136773</subfield><subfield code="z">(OCoLC)489552503</subfield><subfield code="z">(OCoLC)667020887</subfield><subfield code="z">(OCoLC)843868205</subfield><subfield code="z">(OCoLC)880330337</subfield><subfield code="z">(OCoLC)992069150</subfield><subfield code="z">(OCoLC)1048173427</subfield><subfield code="z">(OCoLC)1050973474</subfield></datafield><datafield tag="037" ind1=" " ind2=" "><subfield code="b">00004933</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA166</subfield><subfield code="b">.D35 2003eb</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT</subfield><subfield code="x">013000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="7" ind2=" "><subfield code="a">511/.5</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">O157. 5</subfield><subfield code="2">clc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 180</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">MAIN</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Davidoff, Giuliana P.</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Elementary number theory, group theory, and Ramanujan graphs /</subfield><subfield code="c">Guiliana Davidoff, Peter Sarnak, Alain Valette.</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">New York :</subfield><subfield code="b">Cambridge University Press,</subfield><subfield code="c">2003.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (viii, 144 pages) :</subfield><subfield code="b">illustrations</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">London Mathematical Society student texts ;</subfield><subfield code="v">55</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (pages 138-141) and index.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">Cover; Series-title; Title; Copyright; Contents; Preface; An Overview; Chapter 1 Graph Theory; Chapter 2 Number Theory; Chapter 3 PSL(q); Chapter 4 The Graphs X; Appendix 4-Regular Graphs with Large Girth; Bibliography; Index.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This text is a self contained treatment of expander graphs and in particular their explicit construction. Expander graphs are both highly connected but sparse, and besides their interest within combinatorics and graph theory, they also find various applications in computer science and engineering.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Graph theory.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85056471</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Number theory.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85093222</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Group theory.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85057512</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Théorie des nombres.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Théorie des groupes.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS</subfield><subfield code="x">Graphic Methods.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Graph theory.</subfield><subfield code="2">cct</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Number theory.</subfield><subfield code="2">cct</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Group theory.</subfield><subfield code="2">cct</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Graph theory</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Group theory</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Number theory</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Endliche Gruppe</subfield><subfield code="2">gnd</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Graphentheorie</subfield><subfield code="2">gnd</subfield><subfield code="0">http://d-nb.info/gnd/4113782-6</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Elementare Zahlentheorie</subfield><subfield code="2">gnd</subfield><subfield code="0">http://d-nb.info/gnd/4294368-1</subfield></datafield><datafield tag="655" ind1=" " ind2="0"><subfield code="a">Electronic books.</subfield></datafield><datafield tag="655" ind1=" " ind2="4"><subfield code="a">Electronic books.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Sarnak, Peter.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Valette, Alain.</subfield></datafield><datafield tag="758" ind1=" " ind2=" "><subfield code="i">has work:</subfield><subfield code="a">Elementary number theory, group theory and Ramanujan graphs (Text)</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCYHv9xpj6QKDVPpPTy44Rq</subfield><subfield code="4">https://id.oclc.org/worldcat/ontology/hasWork</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="a">Davidoff, Giuliana P.</subfield><subfield code="t">Elementary number theory, group theory, and Ramanujan graphs.</subfield><subfield code="d">New York : Cambridge University Press, 2003</subfield><subfield code="z">0521824265</subfield><subfield code="z">0521531438</subfield><subfield code="w">(DLC) 2002074057</subfield><subfield code="w">(OCoLC)50253269</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">London Mathematical Society student texts ;</subfield><subfield code="v">55.</subfield><subfield code="0">http://id.loc.gov/authorities/names/n84727069</subfield></datafield><datafield tag="966" ind1="4" ind2="0"><subfield code="l">DE-862</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=125136</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="4" ind2="0"><subfield code="l">DE-863</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=125136</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Kortext</subfield><subfield code="b">KTXT</subfield><subfield code="n">17011</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBL - Ebook Library</subfield><subfield code="b">EBLB</subfield><subfield code="n">EBL221168</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ebrary</subfield><subfield code="b">EBRY</subfield><subfield code="n">ebr10429159</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">125136</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ProQuest MyiLibrary Digital eBook Collection</subfield><subfield code="b">IDEB</subfield><subfield code="n">238731</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">2301608</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">2618422</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">3279089</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">7036647</subfield></datafield><datafield tag="994" ind1=" " ind2=" "><subfield code="a">92</subfield><subfield code="b">GEBAY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-862</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-863</subfield></datafield></record></collection> |
| genre | Electronic books. |
| genre_facet | Electronic books. |
| id | ZDB-4-EBA-ocm57418555 |
| illustrated | Illustrated |
| indexdate | 2025-04-11T08:35:34Z |
| institution | BVB |
| isbn | 0511078668 9780511078668 0511077092 9780511077098 9780521824262 9780521531436 0521824265 0521531438 |
| language | English |
| oclc_num | 57418555 |
| open_access_boolean | |
| owner | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| physical | 1 online resource (viii, 144 pages) : illustrations |
| psigel | ZDB-4-EBA FWS_PDA_EBA ZDB-4-EBA |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | London Mathematical Society student texts ; |
| series2 | London Mathematical Society student texts ; |
| spelling | Davidoff, Giuliana P. Elementary number theory, group theory, and Ramanujan graphs / Guiliana Davidoff, Peter Sarnak, Alain Valette. New York : Cambridge University Press, 2003. 1 online resource (viii, 144 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society student texts ; 55 Includes bibliographical references (pages 138-141) and index. Cover; Series-title; Title; Copyright; Contents; Preface; An Overview; Chapter 1 Graph Theory; Chapter 2 Number Theory; Chapter 3 PSL(q); Chapter 4 The Graphs X; Appendix 4-Regular Graphs with Large Girth; Bibliography; Index. This text is a self contained treatment of expander graphs and in particular their explicit construction. Expander graphs are both highly connected but sparse, and besides their interest within combinatorics and graph theory, they also find various applications in computer science and engineering. Print version record. Graph theory. http://id.loc.gov/authorities/subjects/sh85056471 Number theory. http://id.loc.gov/authorities/subjects/sh85093222 Group theory. http://id.loc.gov/authorities/subjects/sh85057512 Théorie des nombres. Théorie des groupes. MATHEMATICS Graphic Methods. bisacsh Graph theory. cct Number theory. cct Group theory. cct Graph theory fast Group theory fast Number theory fast Endliche Gruppe gnd Graphentheorie gnd http://d-nb.info/gnd/4113782-6 Elementare Zahlentheorie gnd http://d-nb.info/gnd/4294368-1 Electronic books. Sarnak, Peter. Valette, Alain. has work: Elementary number theory, group theory and Ramanujan graphs (Text) https://id.oclc.org/worldcat/entity/E39PCYHv9xpj6QKDVPpPTy44Rq https://id.oclc.org/worldcat/ontology/hasWork Print version: Davidoff, Giuliana P. Elementary number theory, group theory, and Ramanujan graphs. New York : Cambridge University Press, 2003 0521824265 0521531438 (DLC) 2002074057 (OCoLC)50253269 London Mathematical Society student texts ; 55. http://id.loc.gov/authorities/names/n84727069 |
| spellingShingle | Davidoff, Giuliana P. Elementary number theory, group theory, and Ramanujan graphs / London Mathematical Society student texts ; Cover; Series-title; Title; Copyright; Contents; Preface; An Overview; Chapter 1 Graph Theory; Chapter 2 Number Theory; Chapter 3 PSL(q); Chapter 4 The Graphs X; Appendix 4-Regular Graphs with Large Girth; Bibliography; Index. Graph theory. http://id.loc.gov/authorities/subjects/sh85056471 Number theory. http://id.loc.gov/authorities/subjects/sh85093222 Group theory. http://id.loc.gov/authorities/subjects/sh85057512 Théorie des nombres. Théorie des groupes. MATHEMATICS Graphic Methods. bisacsh Graph theory. cct Number theory. cct Group theory. cct Graph theory fast Group theory fast Number theory fast Endliche Gruppe gnd Graphentheorie gnd http://d-nb.info/gnd/4113782-6 Elementare Zahlentheorie gnd http://d-nb.info/gnd/4294368-1 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85056471 http://id.loc.gov/authorities/subjects/sh85093222 http://id.loc.gov/authorities/subjects/sh85057512 http://d-nb.info/gnd/4113782-6 http://d-nb.info/gnd/4294368-1 |
| title | Elementary number theory, group theory, and Ramanujan graphs / |
| title_auth | Elementary number theory, group theory, and Ramanujan graphs / |
| title_exact_search | Elementary number theory, group theory, and Ramanujan graphs / |
| title_full | Elementary number theory, group theory, and Ramanujan graphs / Guiliana Davidoff, Peter Sarnak, Alain Valette. |
| title_fullStr | Elementary number theory, group theory, and Ramanujan graphs / Guiliana Davidoff, Peter Sarnak, Alain Valette. |
| title_full_unstemmed | Elementary number theory, group theory, and Ramanujan graphs / Guiliana Davidoff, Peter Sarnak, Alain Valette. |
| title_short | Elementary number theory, group theory, and Ramanujan graphs / |
| title_sort | elementary number theory group theory and ramanujan graphs |
| topic | Graph theory. http://id.loc.gov/authorities/subjects/sh85056471 Number theory. http://id.loc.gov/authorities/subjects/sh85093222 Group theory. http://id.loc.gov/authorities/subjects/sh85057512 Théorie des nombres. Théorie des groupes. MATHEMATICS Graphic Methods. bisacsh Graph theory. cct Number theory. cct Group theory. cct Graph theory fast Group theory fast Number theory fast Endliche Gruppe gnd Graphentheorie gnd http://d-nb.info/gnd/4113782-6 Elementare Zahlentheorie gnd http://d-nb.info/gnd/4294368-1 |
| topic_facet | Graph theory. Number theory. Group theory. Théorie des nombres. Théorie des groupes. MATHEMATICS Graphic Methods. Graph theory Group theory Number theory Endliche Gruppe Graphentheorie Elementare Zahlentheorie Electronic books. |
| work_keys_str_mv | AT davidoffgiulianap elementarynumbertheorygrouptheoryandramanujangraphs AT sarnakpeter elementarynumbertheorygrouptheoryandramanujangraphs AT valettealain elementarynumbertheorygrouptheoryandramanujangraphs |