Discrete systems and integrability:
This first introductory text to discrete integrable systems introduces key notions of integrability from the vantage point of discrete systems, also making connections with the continuous theory where relevant. While treating the material at an elementary level, the book also highlights many recent...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Weitere beteiligte Personen: | , |
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2016
|
| Schriftenreihe: | Cambridge texts in applied mathematics
|
| Links: | https://doi.org/10.1017/CBO9781107337411 |
| Zusammenfassung: | This first introductory text to discrete integrable systems introduces key notions of integrability from the vantage point of discrete systems, also making connections with the continuous theory where relevant. While treating the material at an elementary level, the book also highlights many recent developments. Topics include: Darboux and Bäcklund transformations; difference equations and special functions; multidimensional consistency of integrable lattice equations; associated linear problems (Lax pairs); connections with Padé approximants and convergence algorithms; singularities and geometry; Hirota's bilinear formalism for lattices; intriguing properties of discrete Painlevé equations; and the novel theory of Lagrangian multiforms. The book builds the material in an organic way, emphasizing interconnections between the various approaches, while the exposition is mostly done through explicit computations on key examples. Written by respected experts in the field, the numerous exercises and the thorough list of references will benefit upper-level undergraduate, and beginning graduate students as well as researchers from other disciplines. |
| Umfang: | 1 Online-Ressource (xiii, 445 Seiten) |
| ISBN: | 9781107337411 |
Internformat
MARC
| LEADER | 00000nam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | ZDB-20-CTM-CR9781107337411 | ||
| 003 | UkCbUP | ||
| 005 | 20160909115221.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 130206s2016||||enk o ||1 0|eng|d | ||
| 020 | |a 9781107337411 | ||
| 100 | 1 | |a Hietarinta, J. | |
| 245 | 1 | 0 | |a Discrete systems and integrability |c J. Hietarinta, N. Joshi, F.W. Nijhoff |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2016 | |
| 300 | |a 1 Online-Ressource (xiii, 445 Seiten) | ||
| 336 | |b txt | ||
| 337 | |b c | ||
| 338 | |b cr | ||
| 490 | 1 | |a Cambridge texts in applied mathematics | |
| 520 | |a This first introductory text to discrete integrable systems introduces key notions of integrability from the vantage point of discrete systems, also making connections with the continuous theory where relevant. While treating the material at an elementary level, the book also highlights many recent developments. Topics include: Darboux and Bäcklund transformations; difference equations and special functions; multidimensional consistency of integrable lattice equations; associated linear problems (Lax pairs); connections with Padé approximants and convergence algorithms; singularities and geometry; Hirota's bilinear formalism for lattices; intriguing properties of discrete Painlevé equations; and the novel theory of Lagrangian multiforms. The book builds the material in an organic way, emphasizing interconnections between the various approaches, while the exposition is mostly done through explicit computations on key examples. Written by respected experts in the field, the numerous exercises and the thorough list of references will benefit upper-level undergraduate, and beginning graduate students as well as researchers from other disciplines. | ||
| 700 | 1 | |a Joshi, Nalini | |
| 700 | 1 | |a Nijhoff, Frank W. | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9781107042728 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9781107669482 |
| 966 | 4 | 0 | |l DE-91 |p ZDB-20-CTM |q TUM_PDA_CTM |u https://doi.org/10.1017/CBO9781107337411 |3 Volltext |
| 912 | |a ZDB-20-CTM | ||
| 912 | |a ZDB-20-CTM | ||
| 049 | |a DE-91 | ||
Datensatz im Suchindex
| DE-BY-TUM_katkey | ZDB-20-CTM-CR9781107337411 |
|---|---|
| _version_ | 1825574048319406081 |
| adam_text | |
| any_adam_object | |
| author | Hietarinta, J. |
| author2 | Joshi, Nalini Nijhoff, Frank W. |
| author2_role | |
| author2_variant | n j nj f w n fw fwn |
| author_facet | Hietarinta, J. Joshi, Nalini Nijhoff, Frank W. |
| author_role | |
| author_sort | Hietarinta, J. |
| author_variant | j h jh |
| building | Verbundindex |
| bvnumber | localTUM |
| collection | ZDB-20-CTM |
| format | eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02051nam a2200289 i 4500</leader><controlfield tag="001">ZDB-20-CTM-CR9781107337411</controlfield><controlfield tag="003">UkCbUP</controlfield><controlfield tag="005">20160909115221.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr||||||||||||</controlfield><controlfield tag="008">130206s2016||||enk o ||1 0|eng|d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781107337411</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Hietarinta, J.</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Discrete systems and integrability</subfield><subfield code="c">J. Hietarinta, N. Joshi, F.W. Nijhoff</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2016</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xiii, 445 Seiten)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Cambridge texts in applied mathematics</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This first introductory text to discrete integrable systems introduces key notions of integrability from the vantage point of discrete systems, also making connections with the continuous theory where relevant. While treating the material at an elementary level, the book also highlights many recent developments. Topics include: Darboux and Bäcklund transformations; difference equations and special functions; multidimensional consistency of integrable lattice equations; associated linear problems (Lax pairs); connections with Padé approximants and convergence algorithms; singularities and geometry; Hirota's bilinear formalism for lattices; intriguing properties of discrete Painlevé equations; and the novel theory of Lagrangian multiforms. The book builds the material in an organic way, emphasizing interconnections between the various approaches, while the exposition is mostly done through explicit computations on key examples. Written by respected experts in the field, the numerous exercises and the thorough list of references will benefit upper-level undergraduate, and beginning graduate students as well as researchers from other disciplines.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Joshi, Nalini</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Nijhoff, Frank W.</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9781107042728</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9781107669482</subfield></datafield><datafield tag="966" ind1="4" ind2="0"><subfield code="l">DE-91</subfield><subfield code="p">ZDB-20-CTM</subfield><subfield code="q">TUM_PDA_CTM</subfield><subfield code="u">https://doi.org/10.1017/CBO9781107337411</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CTM</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CTM</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield></datafield></record></collection> |
| id | ZDB-20-CTM-CR9781107337411 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-03T11:58:02Z |
| institution | BVB |
| isbn | 9781107337411 |
| language | English |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM |
| owner_facet | DE-91 DE-BY-TUM |
| physical | 1 Online-Ressource (xiii, 445 Seiten) |
| psigel | ZDB-20-CTM TUM_PDA_CTM ZDB-20-CTM |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge texts in applied mathematics |
| spelling | Hietarinta, J. Discrete systems and integrability J. Hietarinta, N. Joshi, F.W. Nijhoff Cambridge Cambridge University Press 2016 1 Online-Ressource (xiii, 445 Seiten) txt c cr Cambridge texts in applied mathematics This first introductory text to discrete integrable systems introduces key notions of integrability from the vantage point of discrete systems, also making connections with the continuous theory where relevant. While treating the material at an elementary level, the book also highlights many recent developments. Topics include: Darboux and Bäcklund transformations; difference equations and special functions; multidimensional consistency of integrable lattice equations; associated linear problems (Lax pairs); connections with Padé approximants and convergence algorithms; singularities and geometry; Hirota's bilinear formalism for lattices; intriguing properties of discrete Painlevé equations; and the novel theory of Lagrangian multiforms. The book builds the material in an organic way, emphasizing interconnections between the various approaches, while the exposition is mostly done through explicit computations on key examples. Written by respected experts in the field, the numerous exercises and the thorough list of references will benefit upper-level undergraduate, and beginning graduate students as well as researchers from other disciplines. Joshi, Nalini Nijhoff, Frank W. Erscheint auch als Druck-Ausgabe 9781107042728 Erscheint auch als Druck-Ausgabe 9781107669482 |
| spellingShingle | Hietarinta, J. Discrete systems and integrability |
| title | Discrete systems and integrability |
| title_auth | Discrete systems and integrability |
| title_exact_search | Discrete systems and integrability |
| title_full | Discrete systems and integrability J. Hietarinta, N. Joshi, F.W. Nijhoff |
| title_fullStr | Discrete systems and integrability J. Hietarinta, N. Joshi, F.W. Nijhoff |
| title_full_unstemmed | Discrete systems and integrability J. Hietarinta, N. Joshi, F.W. Nijhoff |
| title_short | Discrete systems and integrability |
| title_sort | discrete systems and integrability |
| work_keys_str_mv | AT hietarintaj discretesystemsandintegrability AT joshinalini discretesystemsandintegrability AT nijhofffrankw discretesystemsandintegrability |