Introduction to systems analysis: mathematically modeling natural systems
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2013
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | VIII, 252 S. Ill., graph. Darst. |
| ISBN: | 9783642306389 9783642306396 3642306381 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV040286489 | ||
| 003 | DE-604 | ||
| 005 | 20130802 | ||
| 007 | t | ||
| 008 | 120702s2013 gw ad|| |||| 00||| eng d | ||
| 015 | |a 12,N19 |2 dnb | ||
| 016 | 7 | |a 102184862X |2 DE-101 | |
| 020 | |a 9783642306389 |c Gb. : ca. EUR 74.85 (DE) (freier Pr.), ca. EUR 77.00 (AT) (freier Pr.), ca. sfr 93.50 (freier Pr.) |9 978-3-642-30638-9 | ||
| 020 | |a 9783642306396 |9 978-3-642-30639-6 | ||
| 020 | |a 3642306381 |9 3-642-30638-1 | ||
| 024 | 3 | |a 9783642306389 | |
| 028 | 5 | 2 | |a Best.-Nr.: 80040877 |
| 035 | |a (OCoLC)802530751 | ||
| 035 | |a (DE-599)DNB102184862X | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c XA-DE-BE | ||
| 049 | |a DE-355 |a DE-634 |a DE-29T | ||
| 082 | 0 | |a 511.8 |2 22/ger | |
| 084 | |a RB 10103 |0 (DE-625)142220:12616 |2 rvk | ||
| 084 | |a 550 |2 sdnb | ||
| 100 | 1 | |a Imboden, Dieter M. |d 1943- |e Verfasser |0 (DE-588)172164672 |4 aut | |
| 245 | 1 | 0 | |a Introduction to systems analysis |b mathematically modeling natural systems |c Dieter M. Imboden ; Stefan Pfenninger |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2013 | |
| 300 | |a VIII, 252 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 0 | 7 | |a Mathematisches Modell |0 (DE-588)4114528-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Systemanalyse |0 (DE-588)4116673-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Systemanalyse |0 (DE-588)4116673-5 |D s |
| 689 | 0 | 1 | |a Mathematisches Modell |0 (DE-588)4114528-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Pfenninger, Stefan |e Verfasser |4 aut | |
| 856 | 4 | 2 | |m X:MVB |q text/html |u http://deposit.dnb.de/cgi-bin/dokserv?id=4023928&prov=M&dok_var=1&dok_ext=htm |3 Inhaltstext |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025141753&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-025141753 | |
Datensatz im Suchindex
| _version_ | 1805146934924541952 |
|---|---|
| adam_text |
Contents
Introduction
1
1.1 Systems
Analysis
. 2
1.2
What is a System?
. 4
1.3
What is a Model?
. 7
1.4
The Formation of Models in Natural Science
. 9
1.5
Questions and Problems
. 13
Mathematical Models: A First Look
15
2.1
From System
tu
Model
.
lii
2.2
Static Models
.
Hi
2.3
Dynamic Models
. 23
2.4
Discrete Time Models
. 26
2.5
Spatially Continuous Models
. 27
2.6
Stochastic Models
. 27
2.7
Questions arid Problems
. 31
Static Models
33
3.1
Equilibrium Distribution Between Water and Air
. 34
3.2
Equilibrium Distribution Between Water and Sediment
. 35
3.3
Multi-dimensional Static Models
. 37
3.4
Questions and Problems
. 39
Linear Models with One Variable
43
4.1
The Linear One-Box Model as a Balance Equation
. 44
4.2
Linear Modeb with Constant Coefficients
. 47
4.3
Time-Dependent Coefficients
. 59
4.4
Questions and Problems
. 75
Linear Models with Several Variables
81
5.1
Linear Models with Two System Variables
. 81
5.2
Linear Models with Several System Variables
. 113
5.3
Questions and Problems
. 120
viii CONTENTS
6
Nonlinear Models
125
6.1
Nonlinear Models with One System Variable
. 126
6.2
Nonlinear Box Models with Several System Variables
. 143
6.3
Questions and Problems
. 160
7
Time-Discrete Models
165
7.1
Time-Discrete Models with One Variable
. 165
7.2
Time-Discrete Models with Several Variables
. 180
7.3
Questions and Problems
. 186
8
Models in Time and Space
189
8.1
Mixing and Transformation
. 189
8.2
Advection, Diffusion and Exchange
. 192
8.3
Steady-State Transport/Transformation Models
. 202
8.4
Time-Dependent Solutions of the Transport/
Transformation Equation
. 213
8.5
Questions and Problems
. 221
A List of Symbols
227
В
Dimensions and Units
231
B.I Dimensions
. 231
B.2 Units
. 232
С
Formulary
233
C.I Linear Inhomogeneous First-Order Differential
Equation
. 233
C.2 System of Two Linear First-Order Differential
Equations
. 234
C.3 General Solution of the Linear Second-Order
Differential Equation with Constant Coefficients
. 235
C.4 Solution of Linear Differential Equations
with Imaginary Eigenvalues
. 237
D
Eigenvalues
239
D.I The
n-Dimensional
System
. 239
D.2 Explicit Solution for the Two-Dimensional System
. 240
Б
Time-Dependent Diffusion Equation
243
E.I The Normal or Gaussian Distribution
. 243
E.2 The Error Function
. 244
E.3 The Principle of Linear Superposition
. 244
Bibliography
247
Index
249 |
| any_adam_object | 1 |
| author | Imboden, Dieter M. 1943- Pfenninger, Stefan |
| author_GND | (DE-588)172164672 |
| author_facet | Imboden, Dieter M. 1943- Pfenninger, Stefan |
| author_role | aut aut |
| author_sort | Imboden, Dieter M. 1943- |
| author_variant | d m i dm dmi s p sp |
| building | Verbundindex |
| bvnumber | BV040286489 |
| classification_rvk | RB 10103 |
| ctrlnum | (OCoLC)802530751 (DE-599)DNB102184862X |
| dewey-full | 511.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.8 |
| dewey-search | 511.8 |
| dewey-sort | 3511.8 |
| dewey-tens | 510 - Mathematics |
| discipline | Geologie / Paläontologie Mathematik Geographie |
| 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">BV040286489</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20130802</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">120702s2013 gw ad|| |||| 00||| eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">12,N19</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">102184862X</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642306389</subfield><subfield code="c">Gb. : ca. EUR 74.85 (DE) (freier Pr.), ca. EUR 77.00 (AT) (freier Pr.), ca. sfr 93.50 (freier Pr.)</subfield><subfield code="9">978-3-642-30638-9</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642306396</subfield><subfield code="9">978-3-642-30639-6</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3642306381</subfield><subfield code="9">3-642-30638-1</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9783642306389</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">Best.-Nr.: 80040877</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)802530751</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB102184862X</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">XA-DE-BE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-29T</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511.8</subfield><subfield code="2">22/ger</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">RB 10103</subfield><subfield code="0">(DE-625)142220:12616</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">550</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Imboden, Dieter M.</subfield><subfield code="d">1943-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)172164672</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Introduction to systems analysis</subfield><subfield code="b">mathematically modeling natural systems</subfield><subfield code="c">Dieter M. Imboden ; Stefan Pfenninger</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2013</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 252 S.</subfield><subfield code="b">Ill., 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="650" ind1="0" ind2="7"><subfield code="a">Mathematisches Modell</subfield><subfield code="0">(DE-588)4114528-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Systemanalyse</subfield><subfield code="0">(DE-588)4116673-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Systemanalyse</subfield><subfield code="0">(DE-588)4116673-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Mathematisches Modell</subfield><subfield code="0">(DE-588)4114528-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Pfenninger, Stefan</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">X:MVB</subfield><subfield code="q">text/html</subfield><subfield code="u">http://deposit.dnb.de/cgi-bin/dokserv?id=4023928&prov=M&dok_var=1&dok_ext=htm</subfield><subfield code="3">Inhaltstext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Regensburg</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=025141753&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-025141753</subfield></datafield></record></collection> |
| id | DE-604.BV040286489 |
| illustrated | Illustrated |
| indexdate | 2024-07-21T00:37:47Z |
| institution | BVB |
| isbn | 9783642306389 9783642306396 3642306381 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025141753 |
| oclc_num | 802530751 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-634 DE-29T |
| owner_facet | DE-355 DE-BY-UBR DE-634 DE-29T |
| physical | VIII, 252 S. Ill., graph. Darst. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Springer |
| record_format | marc |
| spelling | Imboden, Dieter M. 1943- Verfasser (DE-588)172164672 aut Introduction to systems analysis mathematically modeling natural systems Dieter M. Imboden ; Stefan Pfenninger Berlin [u.a.] Springer 2013 VIII, 252 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Systemanalyse (DE-588)4116673-5 gnd rswk-swf Systemanalyse (DE-588)4116673-5 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Pfenninger, Stefan Verfasser aut X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4023928&prov=M&dok_var=1&dok_ext=htm Inhaltstext Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025141753&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Imboden, Dieter M. 1943- Pfenninger, Stefan Introduction to systems analysis mathematically modeling natural systems Mathematisches Modell (DE-588)4114528-8 gnd Systemanalyse (DE-588)4116673-5 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4116673-5 |
| title | Introduction to systems analysis mathematically modeling natural systems |
| title_auth | Introduction to systems analysis mathematically modeling natural systems |
| title_exact_search | Introduction to systems analysis mathematically modeling natural systems |
| title_full | Introduction to systems analysis mathematically modeling natural systems Dieter M. Imboden ; Stefan Pfenninger |
| title_fullStr | Introduction to systems analysis mathematically modeling natural systems Dieter M. Imboden ; Stefan Pfenninger |
| title_full_unstemmed | Introduction to systems analysis mathematically modeling natural systems Dieter M. Imboden ; Stefan Pfenninger |
| title_short | Introduction to systems analysis |
| title_sort | introduction to systems analysis mathematically modeling natural systems |
| title_sub | mathematically modeling natural systems |
| topic | Mathematisches Modell (DE-588)4114528-8 gnd Systemanalyse (DE-588)4116673-5 gnd |
| topic_facet | Mathematisches Modell Systemanalyse |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=4023928&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025141753&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT imbodendieterm introductiontosystemsanalysismathematicallymodelingnaturalsystems AT pfenningerstefan introductiontosystemsanalysismathematicallymodelingnaturalsystems |