Gespeichert in:
| Titel: | Lectures on partial differential equations |
|---|---|
| Von: |
Vladimir I. Arnold
|
| Person: |
Arnolʹd, V. I.
1937-2010 Verfasser aut |
| Hauptverfasser: | |
| Format: | Buch |
| Sprache: | Englisch Russisch |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2004
|
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010557157&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | X, 157 S. graph. Darst. |
| ISBN: | 3540404481 9783540404484 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV017536721 | ||
| 003 | DE-604 | ||
| 005 | 20190207 | ||
| 007 | t| | ||
| 008 | 030923s2004 xxud||| |||| 00||| eng d | ||
| 010 | |a 2003060468 | ||
| 020 | |a 3540404481 |9 3-540-40448-1 | ||
| 020 | |a 9783540404484 |9 978-3-540-40448-4 | ||
| 035 | |a (OCoLC)53038209 | ||
| 035 | |a (DE-599)BVBBV017536721 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 1 | |a eng |h rus | |
| 044 | |a xxu |c US | ||
| 049 | |a DE-91G |a DE-824 |a DE-355 |a DE-703 |a DE-19 |a DE-384 |a DE-706 |a DE-29T |a DE-634 |a DE-739 |a DE-11 |a DE-860 |a DE-83 | ||
| 050 | 0 | |a QA377 | |
| 082 | 0 | |a 515/.353 |2 22 | |
| 084 | |a SK 540 |0 (DE-625)143245: |2 rvk | ||
| 084 | |a MAT 350f |2 stub | ||
| 084 | |a 35-01 |2 msc | ||
| 100 | 1 | |a Arnolʹd, V. I. |d 1937-2010 |e Verfasser |0 (DE-588)119540878 |4 aut | |
| 240 | 1 | 0 | |a Lekcij ob uravnenijach s častnimi proizvodnimi |
| 245 | 1 | 0 | |a Lectures on partial differential equations |c Vladimir I. Arnold |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2004 | |
| 300 | |a X, 157 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Universitext | |
| 650 | 7 | |a Análise numérica |2 larpcal | |
| 650 | 7 | |a Equações diferenciais parciais |2 larpcal | |
| 650 | 7 | |a Partiële differentiaalvergelijkingen |2 gtt | |
| 650 | 4 | |a Équations aux dérivées partielles | |
| 650 | 4 | |a Differential equations, Partial | |
| 650 | 0 | 7 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |2 gnd |9 rswk-swf |
| 655 | 7 | |8 1\p |0 (DE-588)4123623-3 |a Lehrbuch |2 gnd-content | |
| 689 | 0 | 0 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m Digitalisierung UB Passau |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010557157&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-010557157 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0040 MAT 350f 2011 A 8402 0102 MAT 350f 2001 A 5706 0102 MAT 350f 2001 A 5705 0202 MAT 350f 2004 A 44 0303 MAT 350 L 7339 |
|---|---|
| DE-BY-TUM_katkey | 1440837 |
| DE-BY-TUM_location | LSB 01 02 03 |
| DE-BY-TUM_media_number | 040071288058 040020084964 040020104970 040020741562 040070962882 040070962871 040070962893 040070962906 040070962917 |
| DE-BY-UBR_call_number | 80/SK 540 A759 D5 801/SK 540 A759 D5 805/SK 540 A759 D5 843/SK 540 A759 D5 |
| DE-BY-UBR_katkey | 3496788 |
| DE-BY-UBR_location | UB Lesesaal Mathematik UB Handapparat Mathematik Prof. E. Kings UB Handapparat Mathematik Prof. Garcke UB Handapparat Physik Prof. Fabian |
| DE-BY-UBR_media_number | 069030581528 TEMP11878427 TEMP11873128 TEMP11967603 |
| _version_ | 1835110870414262272 |
| adam_text | Contents
Preface
to the Second Russian Edition
.........................
V
1.
The General Theory for One First-Order Equation
........ 1
Literature
................................................... 10
2.
The General Theory for One First-Order Equation
(Continued)
............................................... 11
Literature
................................................... 20
3.
Huygens Principle in the Theory of Wave Propagation
.... 21
4.
The Vibrating String (d Alembert s Method)
.............. 27
4.1.
The General Solution
.................................... 27
4.2.
Boundary-Value Problems and the Cauchy Problem
......... 28
4.3.
The Cauchy Problem for an Infinite String. d Alembert s
Formula
................................................ 29
4.4.
The Semi-Infinite String
.................................. 31
4.5.
The Finite String. Resonance
............................. 31
4.6.
The Fourier Method
..................................... 32
5.
The Fourier Method (for the Vibrating String)
............ 35
5.1.
Solution of the Problem in the Space of Trigonometric
Polynomials
............................................ 35
5.2.
A Digression
............................................ 36
5.3.
Formulas for Solving the Problem of Section
5.1............. 36
5.4.
The General Case
....................................... 36
5.5.
Fourier Series
........................................... 37
5.6.
Convergence of Fourier Series
............................. 37
5.7.
Gibbs Phenomenon
..................................... 39
X
Contents
6.
The Theory of Oscillations. The Variational Principle
...... 41
Literature
................................................... 50
7.
The Theory of Oscillations. The Variational Principle
(Continued)
............................................... 51
8.
Properties of Harmonic Functions
......................... 65
8.1.
Consequences of the Mean-Value Theorem
.................. 67
8.2.
The Mean-Value Theorem in the Multidimensional Case
...... 73
9.
The Fundamental Solution for the Laplacian. Potentials
... 77
9.1.
Examples and Properties
................................. 78
9.2.
A Digression. The Principle of Superposition
................ 79
9.3.
Appendix. An Estimate of the Single-Layer Potential
........ 89
10.
The Double-Layer Potential
............................... 93
10.1.
Properties of the Double-Layer Potential
................... 94
11.
Spherical Functions. Maxwell s Theorem. The Removable
Singularities Theorem
.....................................105
12.
Boundary-Value Problems for Laplace s Equation. Theory
of Linear Equations and Systems
..........................121
12.1.
Four Boundary-Value Problems for Laplace s Equation
.......121
12.2.
Existence and Uniqueness of Solutions
.....................125
12.3.
Linear Partial Differential Equations and Their Symbols
......127
A. The Topological Content of Maxwell s Theorem on the
Multifield Representation of Spherical Functions
...........135
A.I. The Basic Spaces and Groups
.............................136
A.
2.
Some Theorems of Real Algebraic Geometry
................137
A.3. From Algebraic Geometry to Spherical Functions
............139
A.4. Explicit Formulas
.......................................141
A.5. Maxwell s Theorem and CP2/conj
«
S4
....................144
A.6. The History of Maxwell s Theorem
........................145
Literature
...................................................146
B. Problems
..................................................149
B.I. Material from the Seminars
...............................149
B.2. Written Examination Problems
............................156
|
| any_adam_object | 1 |
| author | Arnolʹd, V. I. 1937-2010 |
| author_GND | (DE-588)119540878 |
| author_facet | Arnolʹd, V. I. 1937-2010 |
| author_role | aut |
| author_sort | Arnolʹd, V. I. 1937-2010 |
| author_variant | v i a vi via |
| building | Verbundindex |
| bvnumber | BV017536721 |
| callnumber-first | Q - Science |
| callnumber-label | QA377 |
| callnumber-raw | QA377 |
| callnumber-search | QA377 |
| callnumber-sort | QA 3377 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 540 |
| classification_tum | MAT 350f |
| ctrlnum | (OCoLC)53038209 (DE-599)BVBBV017536721 |
| dewey-full | 515/.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.353 |
| dewey-search | 515/.353 |
| dewey-sort | 3515 3353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02026nam a2200505 c 4500</leader><controlfield tag="001">BV017536721</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20190207 </controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">030923s2004 xxud||| |||| 00||| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2003060468</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540404481</subfield><subfield code="9">3-540-40448-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783540404484</subfield><subfield code="9">978-3-540-40448-4</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)53038209</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV017536721</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="1" ind2=" "><subfield code="a">eng</subfield><subfield code="h">rus</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-860</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA377</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.353</subfield><subfield code="2">22</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 350f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">35-01</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Arnolʹd, V. I.</subfield><subfield code="d">1937-2010</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)119540878</subfield><subfield code="4">aut</subfield></datafield><datafield tag="240" ind1="1" ind2="0"><subfield code="a">Lekcij ob uravnenijach s častnimi proizvodnimi</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Lectures on partial differential equations</subfield><subfield code="c">Vladimir I. Arnold</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2004</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 157 S.</subfield><subfield code="b">graph. Darst.</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="490" ind1="0" ind2=" "><subfield code="a">Universitext</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Análise numérica</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Equações diferenciais parciais</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Partiële differentiaalvergelijkingen</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Équations aux dérivées partielles</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations, Partial</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="655" ind1=" " ind2="7"><subfield code="8">1\p</subfield><subfield code="0">(DE-588)4123623-3</subfield><subfield code="a">Lehrbuch</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" 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="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Passau</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010557157&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</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="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-010557157</subfield></datafield></record></collection> |
| genre | 1\p (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV017536721 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T11:20:21Z |
| institution | BVB |
| isbn | 3540404481 9783540404484 |
| language | English Russian |
| lccn | 2003060468 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010557157 |
| oclc_num | 53038209 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-824 DE-355 DE-BY-UBR DE-703 DE-19 DE-BY-UBM DE-384 DE-706 DE-29T DE-634 DE-739 DE-11 DE-860 DE-83 |
| owner_facet | DE-91G DE-BY-TUM DE-824 DE-355 DE-BY-UBR DE-703 DE-19 DE-BY-UBM DE-384 DE-706 DE-29T DE-634 DE-739 DE-11 DE-860 DE-83 |
| physical | X, 157 S. graph. Darst. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Springer |
| record_format | marc |
| series2 | Universitext |
| spellingShingle | Arnolʹd, V. I. 1937-2010 Lectures on partial differential equations Análise numérica larpcal Equações diferenciais parciais larpcal Partiële differentiaalvergelijkingen gtt Équations aux dérivées partielles Differential equations, Partial Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4123623-3 |
| title | Lectures on partial differential equations |
| title_alt | Lekcij ob uravnenijach s častnimi proizvodnimi |
| title_auth | Lectures on partial differential equations |
| title_exact_search | Lectures on partial differential equations |
| title_full | Lectures on partial differential equations Vladimir I. Arnold |
| title_fullStr | Lectures on partial differential equations Vladimir I. Arnold |
| title_full_unstemmed | Lectures on partial differential equations Vladimir I. Arnold |
| title_short | Lectures on partial differential equations |
| title_sort | lectures on partial differential equations |
| topic | Análise numérica larpcal Equações diferenciais parciais larpcal Partiële differentiaalvergelijkingen gtt Équations aux dérivées partielles Differential equations, Partial Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Análise numérica Equações diferenciais parciais Partiële differentiaalvergelijkingen Équations aux dérivées partielles Differential equations, Partial Partielle Differentialgleichung Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010557157&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT arnolʹdvi lekcijoburavnenijachscastnimiproizvodnimi AT arnolʹdvi lecturesonpartialdifferentialequations |
An UBR ausleihen
Ausleihen an der UBR sind mit eigenem Ausweis möglich.