Mathematical modelling with differential equations:
"Mathematical Modeling with Differential Equations aims to introduce various strategies for modeling systems using differential equations. Some of these methodologies are elementary and quite direct to comprehend and apply while others are complex in nature and require thoughtful, deep contempl...
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton ; London ; New York
CRC Press
2022
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| Edition: | First edition |
| Subjects: | |
| Summary: | "Mathematical Modeling with Differential Equations aims to introduce various strategies for modeling systems using differential equations. Some of these methodologies are elementary and quite direct to comprehend and apply while others are complex in nature and require thoughtful, deep contemplation. Many topics discussed in the chapter do not appear in any of the standard textbooks and this provides users an opportunity to consider a more general set of interesting systems that can be modeled. For example, the book investigates the evolution of a "toy universe," discusses why "alternate futures" exists in classical physics, constructs approximate solutions to the famous Thomas-Fermi equation using only algebra and elementary calculus, and examines the importance of "truly nonlinear" and oscillating systems. Features -- Introduces, defines, and illustrates the concept of "dynamic consistency" as the foundation of modeling -- Can be used as the basis of an upper-level undergraduate course on general procedures for mathematical modeling using differential equations -- Discusses the issue of dimensional analysis and continually demonstrates its value for both the construction and analysis of mathematical modeling"-- |
| Physical Description: | xiv, 269 Seiten Diagramme |
| ISBN: | 9781032014456 9781032015309 |
Staff View
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| 520 | 3 | |a "Mathematical Modeling with Differential Equations aims to introduce various strategies for modeling systems using differential equations. Some of these methodologies are elementary and quite direct to comprehend and apply while others are complex in nature and require thoughtful, deep contemplation. Many topics discussed in the chapter do not appear in any of the standard textbooks and this provides users an opportunity to consider a more general set of interesting systems that can be modeled. For example, the book investigates the evolution of a "toy universe," discusses why "alternate futures" exists in classical physics, constructs approximate solutions to the famous Thomas-Fermi equation using only algebra and elementary calculus, and examines the importance of "truly nonlinear" and oscillating systems. Features -- Introduces, defines, and illustrates the concept of "dynamic consistency" as the foundation of modeling -- Can be used as the basis of an upper-level undergraduate course on general procedures for mathematical modeling using differential equations -- Discusses the issue of dimensional analysis and continually demonstrates its value for both the construction and analysis of mathematical modeling"-- | |
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Record in the Search Index
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| author | Mickens, Ronald Elbert 1943- |
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| author_role | aut |
| author_sort | Mickens, Ronald Elbert 1943- |
| author_variant | r e m re rem |
| building | Verbundindex |
| bvnumber | BV048800435 |
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| ctrlnum | (OCoLC)1338302622 (DE-599)KXP1795027614 |
| dewey-full | 515/.35015118 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.35015118 |
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| dewey-sort | 3515 835015118 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | First edition |
| format | Book |
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| id | DE-604.BV048800435 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T21:27:43Z |
| indexdate | 2024-07-20T07:44:03Z |
| institution | BVB |
| isbn | 9781032014456 9781032015309 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034066567 |
| oclc_num | 1338302622 |
| open_access_boolean | |
| owner | DE-20 DE-706 |
| owner_facet | DE-20 DE-706 |
| physical | xiv, 269 Seiten Diagramme |
| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | CRC Press |
| record_format | marc |
| spelling | Mickens, Ronald Elbert 1943- Verfasser (DE-588)172258324 aut Mathematical modelling with differential equations Ronald E. Mickens (Clark Atlanta University, USA) First edition Boca Raton ; London ; New York CRC Press 2022 xiv, 269 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier "Mathematical Modeling with Differential Equations aims to introduce various strategies for modeling systems using differential equations. Some of these methodologies are elementary and quite direct to comprehend and apply while others are complex in nature and require thoughtful, deep contemplation. Many topics discussed in the chapter do not appear in any of the standard textbooks and this provides users an opportunity to consider a more general set of interesting systems that can be modeled. For example, the book investigates the evolution of a "toy universe," discusses why "alternate futures" exists in classical physics, constructs approximate solutions to the famous Thomas-Fermi equation using only algebra and elementary calculus, and examines the importance of "truly nonlinear" and oscillating systems. Features -- Introduces, defines, and illustrates the concept of "dynamic consistency" as the foundation of modeling -- Can be used as the basis of an upper-level undergraduate course on general procedures for mathematical modeling using differential equations -- Discusses the issue of dimensional analysis and continually demonstrates its value for both the construction and analysis of mathematical modeling"-- Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Differential equations Mathematical models Mathematical analysis Differentialgleichung (DE-588)4012249-9 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Erscheint auch als Online-Ausgabe 978-1-003-17897-2 |
| spellingShingle | Mickens, Ronald Elbert 1943- Mathematical modelling with differential equations Differentialgleichung (DE-588)4012249-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4012249-9 (DE-588)4114528-8 |
| title | Mathematical modelling with differential equations |
| title_auth | Mathematical modelling with differential equations |
| title_exact_search | Mathematical modelling with differential equations |
| title_exact_search_txtP | Mathematical modelling with differential equations |
| title_full | Mathematical modelling with differential equations Ronald E. Mickens (Clark Atlanta University, USA) |
| title_fullStr | Mathematical modelling with differential equations Ronald E. Mickens (Clark Atlanta University, USA) |
| title_full_unstemmed | Mathematical modelling with differential equations Ronald E. Mickens (Clark Atlanta University, USA) |
| title_short | Mathematical modelling with differential equations |
| title_sort | mathematical modelling with differential equations |
| topic | Differentialgleichung (DE-588)4012249-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Differentialgleichung Mathematisches Modell |
| work_keys_str_mv | AT mickensronaldelbert mathematicalmodellingwithdifferentialequations |