Differential Equations and Their Applications: An Introduction to Applied Mathematics
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
New York, NY
Springer New York
1983
|
| Ausgabe: | 3rd Edition |
| Schriftenreihe: | Applied Mathematical Sciences
15 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-1-4684-9229-3 |
| Beschreibung: | There are three major changes in the Third Edition of Differential Equations and Their Applications. First, we have completely rewritten the section on singular solutions of differential equations. A new section, 2.8.1, dealing with Euler equations has been added, and this section is used to motivate a greatly expanded treatment of singular equations in sections 2.8.2 and 2.8.3. Our second major change is the addition of a new section, 4.9, dealing with bifurcation theory, a subject of much current interest. We felt it desirable to give the reader a brief but nontrivial introduction to this important topic. Our third major change is in Section 2.6, where we have switched to the metric system of units. This change was requested by many of our readers. In addition to the above changes, we have updated the material on population models, and have revised the exercises in this section. Minor editorial changes have also been made throughout the text. New York City Martin Braun Nooember, 1982 Preface to the First Edition 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 |
| Umfang: | 1 Online-Ressource (XIII, 546 p) |
| ISBN: | 9781468492293 9780387979380 |
| ISSN: | 0066-5452 |
| DOI: | 10.1007/978-1-4684-9229-3 |
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| 500 | |a There are three major changes in the Third Edition of Differential Equations and Their Applications. First, we have completely rewritten the section on singular solutions of differential equations. A new section, 2.8.1, dealing with Euler equations has been added, and this section is used to motivate a greatly expanded treatment of singular equations in sections 2.8.2 and 2.8.3. Our second major change is the addition of a new section, 4.9, dealing with bifurcation theory, a subject of much current interest. We felt it desirable to give the reader a brief but nontrivial introduction to this important topic. Our third major change is in Section 2.6, where we have switched to the metric system of units. This change was requested by many of our readers. In addition to the above changes, we have updated the material on population models, and have revised the exercises in this section. Minor editorial changes have also been made throughout the text. New York City Martin Braun Nooember, 1982 Preface to the First Edition 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 | ||
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4684-9229-3 |
| edition | 3rd Edition |
| format | Electronic eBook |
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| id | DE-604.BV042421174 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:44Z |
| institution | BVB |
| isbn | 9781468492293 9780387979380 |
| issn | 0066-5452 |
| language | English |
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| physical | 1 Online-Ressource (XIII, 546 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1983 |
| publishDateSearch | 1983 |
| publishDateSort | 1983 |
| publisher | Springer New York |
| record_format | marc |
| series2 | Applied Mathematical Sciences |
| spellingShingle | Braun, Martin Differential Equations and Their Applications An Introduction to Applied Mathematics Mathematics Mathematics, general Mathematik Lösung Mathematik (DE-588)4120678-2 gnd Stabilität (DE-588)4056693-6 gnd Lineares System (DE-588)4125617-7 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Anwendung (DE-588)4196864-5 gnd Differentialgleichung (DE-588)4012249-9 gnd Fourier-Reihe (DE-588)4155109-6 gnd |
| subject_GND | (DE-588)4120678-2 (DE-588)4056693-6 (DE-588)4125617-7 (DE-588)4020929-5 (DE-588)4196864-5 (DE-588)4012249-9 (DE-588)4155109-6 |
| 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 Lösung Mathematik (DE-588)4120678-2 gnd Stabilität (DE-588)4056693-6 gnd Lineares System (DE-588)4125617-7 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Anwendung (DE-588)4196864-5 gnd Differentialgleichung (DE-588)4012249-9 gnd Fourier-Reihe (DE-588)4155109-6 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Lösung Mathematik Stabilität Lineares System Gewöhnliche Differentialgleichung Anwendung Differentialgleichung Fourier-Reihe |
| url | https://doi.org/10.1007/978-1-4684-9229-3 |
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