Differential Equations and Their Applications: An Introduction to Applied Mathematics
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1978
|
| Ausgabe: | 2nd Edition |
| Schriftenreihe: | Applied Mathematical Sciences
15 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| 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 of 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 derive differential equations which govern the rate at which farmers adopt new innovations. Surprisingly, these same differential equations govern the rate at which technological innovations are adopted in such diverse industries as coal, iron and steel, brewing, and railroads |
| Beschreibung: | 1 Online-Ressource (VIII, 518p) |
| ISBN: | 9781468493603 9780387902661 |
| DOI: | 10.1007/978-1-4684-9360-3 |
Internformat
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| 500 | |a 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 of 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 derive differential equations which govern the rate at which farmers adopt new innovations. Surprisingly, these same differential equations govern the rate at which technological innovations are adopted in such diverse industries as coal, iron and steel, brewing, and railroads | ||
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Datensatz im Suchindex
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| author | Braun, Martin |
| author_facet | Braun, Martin |
| author_role | aut |
| author_sort | Braun, Martin |
| author_variant | m b mb |
| building | Verbundindex |
| bvnumber | BV042421203 |
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| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4684-9360-3 |
| edition | 2nd Edition |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:21:08Z |
| institution | BVB |
| isbn | 9781468493603 9780387902661 |
| language | English |
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| series | Applied Mathematical Sciences |
| series2 | Applied Mathematical Sciences |
| spelling | Braun, Martin Verfasser aut Differential Equations and Their Applications An Introduction to Applied Mathematics by Martin Braun 2nd Edition New York, NY Springer New York 1978 1 Online-Ressource (VIII, 518p) txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 15 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 of 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 derive differential equations which govern the rate at which farmers adopt new innovations. Surprisingly, these same differential equations govern the rate at which technological innovations are adopted in such diverse industries as coal, iron and steel, brewing, and railroads Mathematics Mathematics, general Mathematik Anwendung (DE-588)4196864-5 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf Fourier-Reihe (DE-588)4155109-6 gnd rswk-swf Lineares System (DE-588)4125617-7 gnd rswk-swf Lösung Mathematik (DE-588)4120678-2 gnd rswk-swf Stabilität (DE-588)4056693-6 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 s 1\p DE-604 Gewöhnliche Differentialgleichung (DE-588)4020929-5 s 2\p DE-604 Lineares System (DE-588)4125617-7 s 3\p DE-604 Anwendung (DE-588)4196864-5 s 4\p DE-604 Fourier-Reihe (DE-588)4155109-6 s 5\p DE-604 Lösung Mathematik (DE-588)4120678-2 s 6\p DE-604 Stabilität (DE-588)4056693-6 s 7\p DE-604 Applied Mathematical Sciences 15 (DE-604)BV040244599 15 https://doi.org/10.1007/978-1-4684-9360-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 6\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 7\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Braun, Martin Differential Equations and Their Applications An Introduction to Applied Mathematics Applied Mathematical Sciences Mathematics Mathematics, general Mathematik Anwendung (DE-588)4196864-5 gnd Differentialgleichung (DE-588)4012249-9 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Fourier-Reihe (DE-588)4155109-6 gnd Lineares System (DE-588)4125617-7 gnd Lösung Mathematik (DE-588)4120678-2 gnd Stabilität (DE-588)4056693-6 gnd |
| subject_GND | (DE-588)4196864-5 (DE-588)4012249-9 (DE-588)4020929-5 (DE-588)4155109-6 (DE-588)4125617-7 (DE-588)4120678-2 (DE-588)4056693-6 |
| title | Differential Equations and Their Applications An Introduction to Applied Mathematics |
| title_auth | Differential Equations and Their Applications An Introduction to Applied Mathematics |
| title_exact_search | Differential Equations and Their Applications An Introduction to Applied Mathematics |
| title_full | Differential Equations and Their Applications An Introduction to Applied Mathematics by Martin Braun |
| title_fullStr | Differential Equations and Their Applications An Introduction to Applied Mathematics by Martin Braun |
| title_full_unstemmed | Differential Equations and Their Applications An Introduction to Applied Mathematics by Martin Braun |
| title_short | Differential Equations and Their Applications |
| title_sort | differential equations and their applications an introduction to applied mathematics |
| title_sub | An Introduction to Applied Mathematics |
| topic | Mathematics Mathematics, general Mathematik Anwendung (DE-588)4196864-5 gnd Differentialgleichung (DE-588)4012249-9 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Fourier-Reihe (DE-588)4155109-6 gnd Lineares System (DE-588)4125617-7 gnd Lösung Mathematik (DE-588)4120678-2 gnd Stabilität (DE-588)4056693-6 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Anwendung Differentialgleichung Gewöhnliche Differentialgleichung Fourier-Reihe Lineares System Lösung Mathematik Stabilität |
| url | https://doi.org/10.1007/978-1-4684-9360-3 |
| volume_link | (DE-604)BV040244599 |
| work_keys_str_mv | AT braunmartin differentialequationsandtheirapplicationsanintroductiontoappliedmathematics |