Differential Equations and Their Applications: Short Version
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
New York, NY
Springer US
1978
|
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-1-4684-0053-3 |
| Beschreibung: | This textbook is a unique blend of the theory of differential equations and their exciting application to "real world" problems. First, and foremost, it is a rigorous study of ordinary differential equations and can be fully understood by anyone who has completed one year of calculus. However, in addition to the traditional applications, it also contains many exciting "real life" problems. These applications are completely self contained. First, the problem to be solved is outlined clearly, and one or more differential equations are derived as a model for this problem. These equations are then solved, and the results are compared with real world data. The following applications are covered in this text. I. In Section 1.3 we prove that the beautiful painting "Disciples at Emmaus" which was bought by the Rembrandt Society of Belgium for $170,000 was a modern forgery. 2. In Section 1.5 we derive differential equations which govern the population growth of various species, and compare the results predicted by our models with the known values of the populations. 3. In Section 1.6 we try to determine whether tightly sealed drums filled with concentrated waste material will crack upon impact with the ocean floor. In this section we also describe several tricks for obtaining information about solutions of a differential equation that cannot be solved explicitly |
| Umfang: | 1 Online-Ressource (VIII, 319p) |
| ISBN: | 9781468400533 9781468400557 |
| DOI: | 10.1007/978-1-4684-0053-3 |
Internformat
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4684-0053-3 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:43Z |
| institution | BVB |
| isbn | 9781468400533 9781468400557 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027856409 |
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| publishDate | 1978 |
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| spellingShingle | Braun, Martin Differential Equations and Their Applications Short Version Mathematics Global analysis (Mathematics) Analysis Mathematik Differentialgleichung (DE-588)4012249-9 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd |
| subject_GND | (DE-588)4012249-9 (DE-588)4020929-5 (DE-588)4123623-3 |
| title | Differential Equations and Their Applications Short Version |
| title_auth | Differential Equations and Their Applications Short Version |
| title_exact_search | Differential Equations and Their Applications Short Version |
| title_full | Differential Equations and Their Applications Short Version by Martin Braun |
| title_fullStr | Differential Equations and Their Applications Short Version by Martin Braun |
| title_full_unstemmed | Differential Equations and Their Applications Short Version by Martin Braun |
| title_short | Differential Equations and Their Applications |
| title_sort | differential equations and their applications short version |
| title_sub | Short Version |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Differentialgleichung (DE-588)4012249-9 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Differentialgleichung Gewöhnliche Differentialgleichung Lehrbuch |
| url | https://doi.org/10.1007/978-1-4684-0053-3 |
| work_keys_str_mv | AT braunmartin differentialequationsandtheirapplicationsshortversion |