Special matrices of mathematical physics: stochastic, circulant, and Bell matrices
This book expounds three special kinds of matrices that are of physical interest, centering on physical examples. Stochastic matrices describe dynamical systems of many different types, involving (or not) phenomena like transience, dissipation, ergodicity, nonequilibrium, and hypersensitivity to ini...
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2001
|
Schlagworte: | |
Online-Zugang: | FHN01 Volltext |
Zusammenfassung: | This book expounds three special kinds of matrices that are of physical interest, centering on physical examples. Stochastic matrices describe dynamical systems of many different types, involving (or not) phenomena like transience, dissipation, ergodicity, nonequilibrium, and hypersensitivity to initial conditions. The main characteristic is growth by agglomeration, as in glass formation. Circulants are the building blocks of elementary Fourier analysis and provide a natural gateway to quantum mechanics and noncommutative geometry. Bell polynomials offer closed expressions for many formulas concerning Lie algebra invariants, differential geometry and real gases, and their matrices are instrumental in the study of chaotic mappings |
Beschreibung: | xv, 323 p. ill |
ISBN: | 9789812799838 |
Internformat
MARC
LEADER | 00000nmm a2200000zc 4500 | ||
---|---|---|---|
001 | BV044636052 | ||
003 | DE-604 | ||
005 | 00000000000000.0 | ||
007 | cr|uuu---uuuuu | ||
008 | 171120s2001 |||| o||u| ||||||eng d | ||
020 | |a 9789812799838 |9 978-981-279-983-8 | ||
024 | 7 | |a 10.1142/4772 |2 doi | |
035 | |a (ZDB-124-WOP)00004141 | ||
035 | |a (OCoLC)881298988 | ||
035 | |a (DE-599)BVBBV044636052 | ||
040 | |a DE-604 |b ger |e aacr | ||
041 | 0 | |a eng | |
049 | |a DE-92 | ||
082 | 0 | |a 530.15/29434 |2 22 | |
084 | |a SK 950 |0 (DE-625)143273: |2 rvk | ||
100 | 1 | |a Aldrovandi, R. |e Verfasser |4 aut | |
245 | 1 | 0 | |a Special matrices of mathematical physics |b stochastic, circulant, and Bell matrices |c R. Aldrovandi |
264 | 1 | |a Singapore |b World Scientific Pub. Co. |c c2001 | |
300 | |a xv, 323 p. |b ill | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
520 | |a This book expounds three special kinds of matrices that are of physical interest, centering on physical examples. Stochastic matrices describe dynamical systems of many different types, involving (or not) phenomena like transience, dissipation, ergodicity, nonequilibrium, and hypersensitivity to initial conditions. The main characteristic is growth by agglomeration, as in glass formation. Circulants are the building blocks of elementary Fourier analysis and provide a natural gateway to quantum mechanics and noncommutative geometry. Bell polynomials offer closed expressions for many formulas concerning Lie algebra invariants, differential geometry and real gases, and their matrices are instrumental in the study of chaotic mappings | ||
650 | 4 | |a Matrices | |
650 | 4 | |a Mathematical physics | |
650 | 0 | 7 | |a Mathematische Physik |0 (DE-588)4037952-8 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Matrix |g Mathematik |0 (DE-588)4037968-1 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Mathematische Physik |0 (DE-588)4037952-8 |D s |
689 | 0 | 1 | |a Matrix |g Mathematik |0 (DE-588)4037968-1 |D s |
689 | 0 | |8 1\p |5 DE-604 | |
776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9789810247089 |
776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9810247087 |
856 | 4 | 0 | |u http://www.worldscientific.com/worldscibooks/10.1142/4772#t=toc |x Verlag |z URL des Erstveroeffentlichers |3 Volltext |
912 | |a ZDB-124-WOP | ||
999 | |a oai:aleph.bib-bvb.de:BVB01-030034024 | ||
883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
966 | e | |u http://www.worldscientific.com/worldscibooks/10.1142/4772#t=toc |l FHN01 |p ZDB-124-WOP |q FHN_PDA_WOP |x Verlag |3 Volltext |
Datensatz im Suchindex
_version_ | 1804178049902575616 |
---|---|
any_adam_object | |
author | Aldrovandi, R. |
author_facet | Aldrovandi, R. |
author_role | aut |
author_sort | Aldrovandi, R. |
author_variant | r a ra |
building | Verbundindex |
bvnumber | BV044636052 |
classification_rvk | SK 950 |
collection | ZDB-124-WOP |
ctrlnum | (ZDB-124-WOP)00004141 (OCoLC)881298988 (DE-599)BVBBV044636052 |
dewey-full | 530.15/29434 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 530 - Physics |
dewey-raw | 530.15/29434 |
dewey-search | 530.15/29434 |
dewey-sort | 3530.15 529434 |
dewey-tens | 530 - Physics |
discipline | Physik Mathematik |
format | Electronic eBook |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02525nmm a2200469zc 4500</leader><controlfield tag="001">BV044636052</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">171120s2001 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789812799838</subfield><subfield code="9">978-981-279-983-8</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1142/4772</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-124-WOP)00004141</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)881298988</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV044636052</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-92</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">530.15/29434</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 950</subfield><subfield code="0">(DE-625)143273:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Aldrovandi, R.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Special matrices of mathematical physics</subfield><subfield code="b">stochastic, circulant, and Bell matrices</subfield><subfield code="c">R. Aldrovandi</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Singapore</subfield><subfield code="b">World Scientific Pub. Co.</subfield><subfield code="c">c2001</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xv, 323 p.</subfield><subfield code="b">ill</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">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This book expounds three special kinds of matrices that are of physical interest, centering on physical examples. Stochastic matrices describe dynamical systems of many different types, involving (or not) phenomena like transience, dissipation, ergodicity, nonequilibrium, and hypersensitivity to initial conditions. The main characteristic is growth by agglomeration, as in glass formation. Circulants are the building blocks of elementary Fourier analysis and provide a natural gateway to quantum mechanics and noncommutative geometry. Bell polynomials offer closed expressions for many formulas concerning Lie algebra invariants, differential geometry and real gases, and their matrices are instrumental in the study of chaotic mappings</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Matrices</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical physics</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematische Physik</subfield><subfield code="0">(DE-588)4037952-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Matrix</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4037968-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Mathematische Physik</subfield><subfield code="0">(DE-588)4037952-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Matrix</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4037968-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</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">9789810247089</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">9810247087</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://www.worldscientific.com/worldscibooks/10.1142/4772#t=toc</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveroeffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-124-WOP</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-030034024</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://www.worldscientific.com/worldscibooks/10.1142/4772#t=toc</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-124-WOP</subfield><subfield code="q">FHN_PDA_WOP</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
id | DE-604.BV044636052 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T07:57:48Z |
institution | BVB |
isbn | 9789812799838 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030034024 |
oclc_num | 881298988 |
open_access_boolean | |
owner | DE-92 |
owner_facet | DE-92 |
physical | xv, 323 p. ill |
psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
publishDate | 2001 |
publishDateSearch | 2001 |
publishDateSort | 2001 |
publisher | World Scientific Pub. Co. |
record_format | marc |
spelling | Aldrovandi, R. Verfasser aut Special matrices of mathematical physics stochastic, circulant, and Bell matrices R. Aldrovandi Singapore World Scientific Pub. Co. c2001 xv, 323 p. ill txt rdacontent c rdamedia cr rdacarrier This book expounds three special kinds of matrices that are of physical interest, centering on physical examples. Stochastic matrices describe dynamical systems of many different types, involving (or not) phenomena like transience, dissipation, ergodicity, nonequilibrium, and hypersensitivity to initial conditions. The main characteristic is growth by agglomeration, as in glass formation. Circulants are the building blocks of elementary Fourier analysis and provide a natural gateway to quantum mechanics and noncommutative geometry. Bell polynomials offer closed expressions for many formulas concerning Lie algebra invariants, differential geometry and real gases, and their matrices are instrumental in the study of chaotic mappings Matrices Mathematical physics Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Matrix Mathematik (DE-588)4037968-1 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 s Matrix Mathematik (DE-588)4037968-1 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789810247089 Erscheint auch als Druck-Ausgabe 9810247087 http://www.worldscientific.com/worldscibooks/10.1142/4772#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Aldrovandi, R. Special matrices of mathematical physics stochastic, circulant, and Bell matrices Matrices Mathematical physics Mathematische Physik (DE-588)4037952-8 gnd Matrix Mathematik (DE-588)4037968-1 gnd |
subject_GND | (DE-588)4037952-8 (DE-588)4037968-1 |
title | Special matrices of mathematical physics stochastic, circulant, and Bell matrices |
title_auth | Special matrices of mathematical physics stochastic, circulant, and Bell matrices |
title_exact_search | Special matrices of mathematical physics stochastic, circulant, and Bell matrices |
title_full | Special matrices of mathematical physics stochastic, circulant, and Bell matrices R. Aldrovandi |
title_fullStr | Special matrices of mathematical physics stochastic, circulant, and Bell matrices R. Aldrovandi |
title_full_unstemmed | Special matrices of mathematical physics stochastic, circulant, and Bell matrices R. Aldrovandi |
title_short | Special matrices of mathematical physics |
title_sort | special matrices of mathematical physics stochastic circulant and bell matrices |
title_sub | stochastic, circulant, and Bell matrices |
topic | Matrices Mathematical physics Mathematische Physik (DE-588)4037952-8 gnd Matrix Mathematik (DE-588)4037968-1 gnd |
topic_facet | Matrices Mathematical physics Mathematische Physik Matrix Mathematik |
url | http://www.worldscientific.com/worldscibooks/10.1142/4772#t=toc |
work_keys_str_mv | AT aldrovandir specialmatricesofmathematicalphysicsstochasticcirculantandbellmatrices |