Ordinary Differential Equations in Rn: Problems and Methods
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY
Springer New York
1984
|
Schriftenreihe: | Applied Mathematical Sciences
39 |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | During the fifties, one of the authors, G. Stampacchia, had prepared some lecture notes on ordinary differential equations for a course in advanced analysis. These remained for a long time unused because he was no longer very interested in the study of such equations. We now see, though, that numerous applications to biology, chemistry, economics, and medicine have recently been added to the traditional ones in mechanics; also, there has been in these last years a reemergence of interest in nonlinear analysis, of which the theory of ordinary differential euqations is one of the principal sources of methods and problems. Hence the idea to write a book. Our text, based on the old notes and experience gained in many courses, seminars, and conferences, both in Italy and abroad, aims to give a simple and rapid introduction to the various themes, problems, and methods of the theory of ordinary differential equations. The book has been conceived in such a way so that even the reader who has merely had a first course in calculus may be able to study it and to obtain a panoramic vision of the theory. We have tried to avoid abstract formalism, preferring instead a discursive style, which should make the book accessible to engineers and physicists without specific preparation in modern mathematics. For students of mathematics, it provides motivation for the subject of more advanced analysis courses |
Beschreibung: | 1 Online-Ressource (XII, 385 p) |
ISBN: | 9781461251880 9780387907239 |
DOI: | 10.1007/978-1-4612-5188-0 |
Internformat
MARC
LEADER | 00000nmm a2200000zcb4500 | ||
---|---|---|---|
001 | BV042420370 | ||
003 | DE-604 | ||
005 | 20210323 | ||
007 | cr|uuu---uuuuu | ||
008 | 150317s1984 |||| o||u| ||||||eng d | ||
020 | |a 9781461251880 |c Online |9 978-1-4612-5188-0 | ||
020 | |a 9780387907239 |c Print |9 978-0-387-90723-9 | ||
024 | 7 | |a 10.1007/978-1-4612-5188-0 |2 doi | |
035 | |a (OCoLC)863757308 | ||
035 | |a (DE-599)BVBBV042420370 | ||
040 | |a DE-604 |b ger |e aacr | ||
041 | 0 | |a eng | |
049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
082 | 0 | |a 515 |2 23 | |
084 | |a SK 520 |0 (DE-625)143244: |2 rvk | ||
084 | |a SK 540 |0 (DE-625)143245: |2 rvk | ||
084 | |a MAT 000 |2 stub | ||
100 | 1 | |a Piccinini, L. C. |e Verfasser |4 aut | |
245 | 1 | 0 | |a Ordinary Differential Equations in Rn |b Problems and Methods |c by L. C. Piccinini, G. Stampacchia, G. Vidossich |
264 | 1 | |a New York, NY |b Springer New York |c 1984 | |
300 | |a 1 Online-Ressource (XII, 385 p) | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
490 | 1 | |a Applied Mathematical Sciences |v 39 | |
500 | |a During the fifties, one of the authors, G. Stampacchia, had prepared some lecture notes on ordinary differential equations for a course in advanced analysis. These remained for a long time unused because he was no longer very interested in the study of such equations. We now see, though, that numerous applications to biology, chemistry, economics, and medicine have recently been added to the traditional ones in mechanics; also, there has been in these last years a reemergence of interest in nonlinear analysis, of which the theory of ordinary differential euqations is one of the principal sources of methods and problems. Hence the idea to write a book. Our text, based on the old notes and experience gained in many courses, seminars, and conferences, both in Italy and abroad, aims to give a simple and rapid introduction to the various themes, problems, and methods of the theory of ordinary differential equations. The book has been conceived in such a way so that even the reader who has merely had a first course in calculus may be able to study it and to obtain a panoramic vision of the theory. We have tried to avoid abstract formalism, preferring instead a discursive style, which should make the book accessible to engineers and physicists without specific preparation in modern mathematics. For students of mathematics, it provides motivation for the subject of more advanced analysis courses | ||
650 | 4 | |a Mathematics | |
650 | 4 | |a Global analysis (Mathematics) | |
650 | 4 | |a Analysis | |
650 | 4 | |a Mathematik | |
650 | 0 | 7 | |a Gewöhnliche Differentialgleichung |0 (DE-588)4020929-5 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Differentialgleichung |0 (DE-588)4012249-9 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Differentialgleichung |0 (DE-588)4012249-9 |D s |
689 | 0 | |5 DE-604 | |
689 | 1 | 0 | |a Gewöhnliche Differentialgleichung |0 (DE-588)4020929-5 |D s |
689 | 1 | |5 DE-604 | |
689 | 2 | 0 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |D s |
689 | 2 | |5 DE-604 | |
700 | 1 | |a Stampacchia, Guido |d 1922-1978 |e Sonstige |0 (DE-588)1089367198 |4 oth | |
700 | 1 | |a Vidossich, G. |e Sonstige |4 oth | |
776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 978-0-387-90723-9 |
830 | 0 | |a Applied Mathematical Sciences |v 39 |w (DE-604)BV040244599 |9 39 | |
856 | 4 | 0 | |u https://doi.org/10.1007/978-1-4612-5188-0 |x Verlag |3 Volltext |
912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
940 | 1 | |q ZDB-2-SMA_Archive | |
999 | |a oai:aleph.bib-bvb.de:BVB01-027855787 |
Datensatz im Suchindex
_version_ | 1804153092196794368 |
---|---|
any_adam_object | |
author | Piccinini, L. C. |
author_GND | (DE-588)1089367198 |
author_facet | Piccinini, L. C. |
author_role | aut |
author_sort | Piccinini, L. C. |
author_variant | l c p lc lcp |
building | Verbundindex |
bvnumber | BV042420370 |
classification_rvk | SK 520 SK 540 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA ZDB-2-BAE |
ctrlnum | (OCoLC)863757308 (DE-599)BVBBV042420370 |
dewey-full | 515 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515 |
dewey-search | 515 |
dewey-sort | 3515 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-1-4612-5188-0 |
format | Electronic eBook |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03606nmm a2200589zcb4500</leader><controlfield tag="001">BV042420370</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20210323 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s1984 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461251880</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-4612-5188-0</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780387907239</subfield><subfield code="c">Print</subfield><subfield code="9">978-0-387-90723-9</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-1-4612-5188-0</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)863757308</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042420370</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-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 520</subfield><subfield code="0">(DE-625)143244:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 540</subfield><subfield code="0">(DE-625)143245:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Piccinini, L. C.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Ordinary Differential Equations in Rn</subfield><subfield code="b">Problems and Methods</subfield><subfield code="c">by L. C. Piccinini, G. Stampacchia, G. Vidossich</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York, NY</subfield><subfield code="b">Springer New York</subfield><subfield code="c">1984</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XII, 385 p)</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="490" ind1="1" ind2=" "><subfield code="a">Applied Mathematical Sciences</subfield><subfield code="v">39</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">During the fifties, one of the authors, G. Stampacchia, had prepared some lecture notes on ordinary differential equations for a course in advanced analysis. These remained for a long time unused because he was no longer very interested in the study of such equations. We now see, though, that numerous applications to biology, chemistry, economics, and medicine have recently been added to the traditional ones in mechanics; also, there has been in these last years a reemergence of interest in nonlinear analysis, of which the theory of ordinary differential euqations is one of the principal sources of methods and problems. Hence the idea to write a book. Our text, based on the old notes and experience gained in many courses, seminars, and conferences, both in Italy and abroad, aims to give a simple and rapid introduction to the various themes, problems, and methods of the theory of ordinary differential equations. The book has been conceived in such a way so that even the reader who has merely had a first course in calculus may be able to study it and to obtain a panoramic vision of the theory. We have tried to avoid abstract formalism, preferring instead a discursive style, which should make the book accessible to engineers and physicists without specific preparation in modern mathematics. For students of mathematics, it provides motivation for the subject of more advanced analysis courses</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Global analysis (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Gewöhnliche Differentialgleichung</subfield><subfield code="0">(DE-588)4020929-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialgleichung</subfield><subfield code="0">(DE-588)4012249-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Differentialgleichung</subfield><subfield code="0">(DE-588)4012249-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Gewöhnliche Differentialgleichung</subfield><subfield code="0">(DE-588)4020929-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Stampacchia, Guido</subfield><subfield code="d">1922-1978</subfield><subfield code="e">Sonstige</subfield><subfield code="0">(DE-588)1089367198</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Vidossich, G.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</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">978-0-387-90723-9</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Applied Mathematical Sciences</subfield><subfield code="v">39</subfield><subfield code="w">(DE-604)BV040244599</subfield><subfield code="9">39</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-1-4612-5188-0</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027855787</subfield></datafield></record></collection> |
id | DE-604.BV042420370 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T01:21:06Z |
institution | BVB |
isbn | 9781461251880 9780387907239 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855787 |
oclc_num | 863757308 |
open_access_boolean | |
owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
physical | 1 Online-Ressource (XII, 385 p) |
psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
publishDate | 1984 |
publishDateSearch | 1984 |
publishDateSort | 1984 |
publisher | Springer New York |
record_format | marc |
series | Applied Mathematical Sciences |
series2 | Applied Mathematical Sciences |
spelling | Piccinini, L. C. Verfasser aut Ordinary Differential Equations in Rn Problems and Methods by L. C. Piccinini, G. Stampacchia, G. Vidossich New York, NY Springer New York 1984 1 Online-Ressource (XII, 385 p) txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 39 During the fifties, one of the authors, G. Stampacchia, had prepared some lecture notes on ordinary differential equations for a course in advanced analysis. These remained for a long time unused because he was no longer very interested in the study of such equations. We now see, though, that numerous applications to biology, chemistry, economics, and medicine have recently been added to the traditional ones in mechanics; also, there has been in these last years a reemergence of interest in nonlinear analysis, of which the theory of ordinary differential euqations is one of the principal sources of methods and problems. Hence the idea to write a book. Our text, based on the old notes and experience gained in many courses, seminars, and conferences, both in Italy and abroad, aims to give a simple and rapid introduction to the various themes, problems, and methods of the theory of ordinary differential equations. The book has been conceived in such a way so that even the reader who has merely had a first course in calculus may be able to study it and to obtain a panoramic vision of the theory. We have tried to avoid abstract formalism, preferring instead a discursive style, which should make the book accessible to engineers and physicists without specific preparation in modern mathematics. For students of mathematics, it provides motivation for the subject of more advanced analysis courses Mathematics Global analysis (Mathematics) Analysis Mathematik Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 s DE-604 Gewöhnliche Differentialgleichung (DE-588)4020929-5 s Partielle Differentialgleichung (DE-588)4044779-0 s Stampacchia, Guido 1922-1978 Sonstige (DE-588)1089367198 oth Vidossich, G. Sonstige oth Erscheint auch als Druck-Ausgabe 978-0-387-90723-9 Applied Mathematical Sciences 39 (DE-604)BV040244599 39 https://doi.org/10.1007/978-1-4612-5188-0 Verlag Volltext |
spellingShingle | Piccinini, L. C. Ordinary Differential Equations in Rn Problems and Methods Applied Mathematical Sciences Mathematics Global analysis (Mathematics) Analysis Mathematik Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Differentialgleichung (DE-588)4012249-9 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
subject_GND | (DE-588)4020929-5 (DE-588)4012249-9 (DE-588)4044779-0 |
title | Ordinary Differential Equations in Rn Problems and Methods |
title_auth | Ordinary Differential Equations in Rn Problems and Methods |
title_exact_search | Ordinary Differential Equations in Rn Problems and Methods |
title_full | Ordinary Differential Equations in Rn Problems and Methods by L. C. Piccinini, G. Stampacchia, G. Vidossich |
title_fullStr | Ordinary Differential Equations in Rn Problems and Methods by L. C. Piccinini, G. Stampacchia, G. Vidossich |
title_full_unstemmed | Ordinary Differential Equations in Rn Problems and Methods by L. C. Piccinini, G. Stampacchia, G. Vidossich |
title_short | Ordinary Differential Equations in Rn |
title_sort | ordinary differential equations in rn problems and methods |
title_sub | Problems and Methods |
topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Differentialgleichung (DE-588)4012249-9 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Gewöhnliche Differentialgleichung Differentialgleichung Partielle Differentialgleichung |
url | https://doi.org/10.1007/978-1-4612-5188-0 |
volume_link | (DE-604)BV040244599 |
work_keys_str_mv | AT piccininilc ordinarydifferentialequationsinrnproblemsandmethods AT stampacchiaguido ordinarydifferentialequationsinrnproblemsandmethods AT vidossichg ordinarydifferentialequationsinrnproblemsandmethods |