Mathematical modelling in one dimension: an introduction via difference and differential equations
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ Pr.
2013
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | AIMS Library Series
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025877711&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | X, 110 S. graph. Darst. |
| ISBN: | 9781107654686 |
Internformat
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Datensatz im Suchindex
| _version_ | 1819270277080547328 |
|---|---|
| adam_text | Titel: Mathematical Modelling in One Dimension
Autor: Banasiak, Jacek
Jahr: 2013
Contents
Preface page vii
Mathematical toolbox 1
1.1 Difference equations 1
1.2 Differential equations - an introduction 5
1.3 Some equations admitting closed form
Solutions 7
1.4 The Cauchy problem - existence and unique-
ness 11
Basic difference equations modeis and their
analysis 18
2.1 Difference equations of financial mathematics 19
2.2 Difference equations of population theory 23
2.3 Some applications of discrete population
modeis 31
2.4 Some explicitly solvable nonlinear modeis 34
Basic differential equations modeis 37
3.1 Equations related to financial mathematics 38
3.2 Radiocarbon dating 41
3.3 Differential equations for population modeis 42
3.4 Equations of motion: second-order equations 50
3.5 Equations arising from geometrical modelling 58
Qualitative theory for a single equation 66
4.1 Equilibria of first-order equations 66
4.2 Equilibrium points of difference equations 75
Contents
From discrete to continuous modeis and back 92
5.1 Discretizin« differential equations 92
5.2 Discrete equations in continuous time modeis 98
5.3 Stability of differentiul and difference equations 105
Rrfnriur.s 109
Index 110
|
| any_adam_object | 1 |
| author | Banasiak, Jacek 1959- |
| author_GND | (DE-588)141516585 |
| author_facet | Banasiak, Jacek 1959- |
| author_role | aut |
| author_sort | Banasiak, Jacek 1959- |
| author_variant | j b jb |
| building | Verbundindex |
| bvnumber | BV040898182 |
| classification_rvk | SK 520 SK 580 SK 950 |
| ctrlnum | (OCoLC)844039222 (DE-599)BVBBV040898182 |
| 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 | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV040898182 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T16:26:45Z |
| institution | BVB |
| isbn | 9781107654686 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025877711 |
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| physical | X, 110 S. graph. Darst. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
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| publisher | Cambridge Univ Pr. |
| record_format | marc |
| series2 | AIMS Library Series |
| spellingShingle | Banasiak, Jacek 1959- Mathematical modelling in one dimension an introduction via difference and differential equations Mathematical models Mathematisches Modell Mathematische Modellierung (DE-588)7651795-0 gnd Differentialgleichung (DE-588)4012249-9 gnd Differenzengleichung (DE-588)4012264-5 gnd Dimension 1 (DE-588)4323094-5 gnd |
| subject_GND | (DE-588)7651795-0 (DE-588)4012249-9 (DE-588)4012264-5 (DE-588)4323094-5 |
| title | Mathematical modelling in one dimension an introduction via difference and differential equations |
| title_auth | Mathematical modelling in one dimension an introduction via difference and differential equations |
| title_exact_search | Mathematical modelling in one dimension an introduction via difference and differential equations |
| title_full | Mathematical modelling in one dimension an introduction via difference and differential equations Jacek Banasiak |
| title_fullStr | Mathematical modelling in one dimension an introduction via difference and differential equations Jacek Banasiak |
| title_full_unstemmed | Mathematical modelling in one dimension an introduction via difference and differential equations Jacek Banasiak |
| title_short | Mathematical modelling in one dimension |
| title_sort | mathematical modelling in one dimension an introduction via difference and differential equations |
| title_sub | an introduction via difference and differential equations |
| topic | Mathematical models Mathematisches Modell Mathematische Modellierung (DE-588)7651795-0 gnd Differentialgleichung (DE-588)4012249-9 gnd Differenzengleichung (DE-588)4012264-5 gnd Dimension 1 (DE-588)4323094-5 gnd |
| topic_facet | Mathematical models Mathematisches Modell Mathematische Modellierung Differentialgleichung Differenzengleichung Dimension 1 |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025877711&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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