Analysis and differential equations:
Publisher’s description: The book presents advanced methods of integral calculus and optimization, the classical theory of ordinary and partial differential equations and systems of dynamical equations. It provides explicit solutions of linear and nonlinear differential equations, and implicit solut...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai
World Scientific
[2023]
|
| Ausgabe: | Second edition |
| Schlagworte: | |
| Online-Zugang: | Rezension |
| Zusammenfassung: | Publisher’s description: The book presents advanced methods of integral calculus and optimization, the classical theory of ordinary and partial differential equations and systems of dynamical equations. It provides explicit solutions of linear and nonlinear differential equations, and implicit solutions with discrete approximations. The main changes of this second edition are: the addition of theoretical sections proving the existence and the unicity of the solutions for linear differential equations on real and complex spaces and for nonlinear differential equations defined by locally Lipschitz functions of the derivatives, as well as the approximations of nonlinear parabolic, elliptic, and hyperbolic equations with locally differentiable operators which allow to prove the existence of their solutions; furthermore, the behavior of the solutions of differential equations under small perturbations of the initial condition or of the differential operators is studied. |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | xi, 292 Seiten |
| ISBN: | 9789811268564 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV049953784 | ||
| 003 | DE-604 | ||
| 007 | t| | ||
| 008 | 241115s2023 xxu |||| 00||| eng d | ||
| 020 | |a 9789811268564 |c hardcover |9 978-981-126-856-4 | ||
| 035 | |a (DE-599)KXP1819253163 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a xxu |c XD-US | ||
| 049 | |a DE-91G | ||
| 082 | 0 | |a 515/.35 |2 23 | |
| 084 | |a MAT 260 |2 stub | ||
| 084 | |a 34-01 ; 35-01 ; 33-01 ; 00A06 ; 34A09 ; 35C11 ; 35C15 |2 msc | ||
| 100 | 1 | |a Pons, Odile |d 1953- |e Verfasser |0 (DE-588)1158864035 |4 aut | |
| 245 | 1 | 0 | |a Analysis and differential equations |c Odile Pons, French National Institute for Agronomical Research, France |
| 250 | |a Second edition | ||
| 264 | 1 | |a New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai |b World Scientific |c [2023] | |
| 300 | |a xi, 292 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 520 | 3 | |a Publisher’s description: The book presents advanced methods of integral calculus and optimization, the classical theory of ordinary and partial differential equations and systems of dynamical equations. It provides explicit solutions of linear and nonlinear differential equations, and implicit solutions with discrete approximations. The main changes of this second edition are: the addition of theoretical sections proving the existence and the unicity of the solutions for linear differential equations on real and complex spaces and for nonlinear differential equations defined by locally Lipschitz functions of the derivatives, as well as the approximations of nonlinear parabolic, elliptic, and hyperbolic equations with locally differentiable operators which allow to prove the existence of their solutions; furthermore, the behavior of the solutions of differential equations under small perturbations of the initial condition or of the differential operators is studied. | |
| 653 | 0 | |a Differential equations / Textbooks | |
| 653 | 0 | |a Calculus / Textbooks | |
| 776 | 0 | |z 9789811268571 |c e-book for institutions | |
| 776 | 0 | |z 9789811268588 |c e-book for individuals | |
| 856 | 4 | 2 | |u https://zbmath.org/1506.34001 |y zbMATH |z kostenfrei |3 Rezension |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-035291768 | |
Datensatz im Suchindex
| _version_ | 1815786108979511296 |
|---|---|
| adam_text | |
| any_adam_object | |
| author | Pons, Odile 1953- |
| author_GND | (DE-588)1158864035 |
| author_facet | Pons, Odile 1953- |
| author_role | aut |
| author_sort | Pons, Odile 1953- |
| author_variant | o p op |
| building | Verbundindex |
| bvnumber | BV049953784 |
| classification_tum | MAT 260 |
| ctrlnum | (DE-599)KXP1819253163 |
| dewey-full | 515/.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.35 |
| dewey-search | 515/.35 |
| dewey-sort | 3515 235 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | Second edition |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 c 4500</leader><controlfield tag="001">BV049953784</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">241115s2023 xxu |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789811268564</subfield><subfield code="c">hardcover</subfield><subfield code="9">978-981-126-856-4</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)KXP1819253163</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-91G</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.35</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 260</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">34-01 ; 35-01 ; 33-01 ; 00A06 ; 34A09 ; 35C11 ; 35C15</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Pons, Odile</subfield><subfield code="d">1953-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1158864035</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Analysis and differential equations</subfield><subfield code="c">Odile Pons, French National Institute for Agronomical Research, France</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Second edition</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai</subfield><subfield code="b">World Scientific</subfield><subfield code="c">[2023]</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xi, 292 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="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index</subfield></datafield><datafield tag="520" ind1="3" ind2=" "><subfield code="a">Publisher’s description: The book presents advanced methods of integral calculus and optimization, the classical theory of ordinary and partial differential equations and systems of dynamical equations. It provides explicit solutions of linear and nonlinear differential equations, and implicit solutions with discrete approximations. The main changes of this second edition are: the addition of theoretical sections proving the existence and the unicity of the solutions for linear differential equations on real and complex spaces and for nonlinear differential equations defined by locally Lipschitz functions of the derivatives, as well as the approximations of nonlinear parabolic, elliptic, and hyperbolic equations with locally differentiable operators which allow to prove the existence of their solutions; furthermore, the behavior of the solutions of differential equations under small perturbations of the initial condition or of the differential operators is studied.</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Differential equations / Textbooks</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Calculus / Textbooks</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="z">9789811268571</subfield><subfield code="c">e-book for institutions</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="z">9789811268588</subfield><subfield code="c">e-book for individuals</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="u">https://zbmath.org/1506.34001</subfield><subfield code="y">zbMATH</subfield><subfield code="z">kostenfrei</subfield><subfield code="3">Rezension</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-035291768</subfield></datafield></record></collection> |
| id | DE-604.BV049953784 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-15T11:02:56Z |
| institution | BVB |
| isbn | 9789811268564 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-035291768 |
| open_access_boolean | 1 |
| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | xi, 292 Seiten |
| publishDate | 2023 |
| publishDateSearch | 2023 |
| publishDateSort | 2023 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Pons, Odile 1953- Verfasser (DE-588)1158864035 aut Analysis and differential equations Odile Pons, French National Institute for Agronomical Research, France Second edition New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai World Scientific [2023] xi, 292 Seiten txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Publisher’s description: The book presents advanced methods of integral calculus and optimization, the classical theory of ordinary and partial differential equations and systems of dynamical equations. It provides explicit solutions of linear and nonlinear differential equations, and implicit solutions with discrete approximations. The main changes of this second edition are: the addition of theoretical sections proving the existence and the unicity of the solutions for linear differential equations on real and complex spaces and for nonlinear differential equations defined by locally Lipschitz functions of the derivatives, as well as the approximations of nonlinear parabolic, elliptic, and hyperbolic equations with locally differentiable operators which allow to prove the existence of their solutions; furthermore, the behavior of the solutions of differential equations under small perturbations of the initial condition or of the differential operators is studied. Differential equations / Textbooks Calculus / Textbooks 9789811268571 e-book for institutions 9789811268588 e-book for individuals https://zbmath.org/1506.34001 zbMATH kostenfrei Rezension |
| spellingShingle | Pons, Odile 1953- Analysis and differential equations |
| title | Analysis and differential equations |
| title_auth | Analysis and differential equations |
| title_exact_search | Analysis and differential equations |
| title_full | Analysis and differential equations Odile Pons, French National Institute for Agronomical Research, France |
| title_fullStr | Analysis and differential equations Odile Pons, French National Institute for Agronomical Research, France |
| title_full_unstemmed | Analysis and differential equations Odile Pons, French National Institute for Agronomical Research, France |
| title_short | Analysis and differential equations |
| title_sort | analysis and differential equations |
| url | https://zbmath.org/1506.34001 |
| work_keys_str_mv | AT ponsodile analysisanddifferentialequations |