Partial Differential Equations in Mechanics 1: Fundamentals, Laplace’s Equation, Diffusion Equation, Wave Equation
"Por he who knows not mathematics cannot know any other sciences; what is more, he cannot discover his own ignorance or find its proper remedies. " [Opus Majus] Roger Bacon (1214-1294) The material presented in these monographs is the outcome of the author's long-standing interest in...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2000
|
| Schlagworte: | |
| Online-Zugang: | FHI01 BTU01 Volltext |
| Zusammenfassung: | "Por he who knows not mathematics cannot know any other sciences; what is more, he cannot discover his own ignorance or find its proper remedies. " [Opus Majus] Roger Bacon (1214-1294) The material presented in these monographs is the outcome of the author's long-standing interest in the analytical modelling of problems in mechanics by appeal to the theory of partial differential equations. The impetus for writing these volumes was the opportunity to teach the subject matter to both undergraduate and graduate students in engineering at several universi ties. The approach is distinctly different to that wh ich would adopted should such a course be given to students in pure mathematics; in this sense, the teaching of partial differential equations within an engineering curriculum should be viewed in the broader perspective of "The Modelling 0/ Problems in Engineering" . An engineering student should be given the opportunity to appreciate how the various combination of balance laws, conservation equations, kinematic constraints, constitutive responses, thermodynamic re strictions, etc. , culminates in the development of a partial differential equa tion, or sets of partial differential equations, with potential for applications to engineering problems. This ability to distill all the diverse information about a physical or mechanical process into partial differential equations is a particular attraction of the subject area |
| Beschreibung: | 1 Online-Ressource (XIX, 596 p) |
| ISBN: | 9783662040065 |
| DOI: | 10.1007/978-3-662-04006-5 |
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| id | DE-604.BV045149346 |
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| indexdate | 2024-07-10T08:10:03Z |
| institution | BVB |
| isbn | 9783662040065 |
| language | English |
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| spelling | Selvadurai, A. P. S. Verfasser aut Partial Differential Equations in Mechanics 1 Fundamentals, Laplace’s Equation, Diffusion Equation, Wave Equation by A. P. S. Selvadurai Berlin, Heidelberg Springer Berlin Heidelberg 2000 1 Online-Ressource (XIX, 596 p) txt rdacontent c rdamedia cr rdacarrier "Por he who knows not mathematics cannot know any other sciences; what is more, he cannot discover his own ignorance or find its proper remedies. " [Opus Majus] Roger Bacon (1214-1294) The material presented in these monographs is the outcome of the author's long-standing interest in the analytical modelling of problems in mechanics by appeal to the theory of partial differential equations. The impetus for writing these volumes was the opportunity to teach the subject matter to both undergraduate and graduate students in engineering at several universi ties. The approach is distinctly different to that wh ich would adopted should such a course be given to students in pure mathematics; in this sense, the teaching of partial differential equations within an engineering curriculum should be viewed in the broader perspective of "The Modelling 0/ Problems in Engineering" . An engineering student should be given the opportunity to appreciate how the various combination of balance laws, conservation equations, kinematic constraints, constitutive responses, thermodynamic re strictions, etc. , culminates in the development of a partial differential equa tion, or sets of partial differential equations, with potential for applications to engineering problems. This ability to distill all the diverse information about a physical or mechanical process into partial differential equations is a particular attraction of the subject area Engineering Mechanical Engineering Analysis Continuum Mechanics and Mechanics of Materials Appl.Mathematics/Computational Methods of Engineering Partial Differential Equations Mechanics Mathematical analysis Analysis (Mathematics) Partial differential equations Applied mathematics Engineering mathematics Continuum mechanics Mechanical engineering Erscheint auch als Druck-Ausgabe 9783642086663 https://doi.org/10.1007/978-3-662-04006-5 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Selvadurai, A. P. S. Partial Differential Equations in Mechanics 1 Fundamentals, Laplace’s Equation, Diffusion Equation, Wave Equation Engineering Mechanical Engineering Analysis Continuum Mechanics and Mechanics of Materials Appl.Mathematics/Computational Methods of Engineering Partial Differential Equations Mechanics Mathematical analysis Analysis (Mathematics) Partial differential equations Applied mathematics Engineering mathematics Continuum mechanics Mechanical engineering |
| title | Partial Differential Equations in Mechanics 1 Fundamentals, Laplace’s Equation, Diffusion Equation, Wave Equation |
| title_auth | Partial Differential Equations in Mechanics 1 Fundamentals, Laplace’s Equation, Diffusion Equation, Wave Equation |
| title_exact_search | Partial Differential Equations in Mechanics 1 Fundamentals, Laplace’s Equation, Diffusion Equation, Wave Equation |
| title_full | Partial Differential Equations in Mechanics 1 Fundamentals, Laplace’s Equation, Diffusion Equation, Wave Equation by A. P. S. Selvadurai |
| title_fullStr | Partial Differential Equations in Mechanics 1 Fundamentals, Laplace’s Equation, Diffusion Equation, Wave Equation by A. P. S. Selvadurai |
| title_full_unstemmed | Partial Differential Equations in Mechanics 1 Fundamentals, Laplace’s Equation, Diffusion Equation, Wave Equation by A. P. S. Selvadurai |
| title_short | Partial Differential Equations in Mechanics 1 |
| title_sort | partial differential equations in mechanics 1 fundamentals laplace s equation diffusion equation wave equation |
| title_sub | Fundamentals, Laplace’s Equation, Diffusion Equation, Wave Equation |
| topic | Engineering Mechanical Engineering Analysis Continuum Mechanics and Mechanics of Materials Appl.Mathematics/Computational Methods of Engineering Partial Differential Equations Mechanics Mathematical analysis Analysis (Mathematics) Partial differential equations Applied mathematics Engineering mathematics Continuum mechanics Mechanical engineering |
| topic_facet | Engineering Mechanical Engineering Analysis Continuum Mechanics and Mechanics of Materials Appl.Mathematics/Computational Methods of Engineering Partial Differential Equations Mechanics Mathematical analysis Analysis (Mathematics) Partial differential equations Applied mathematics Engineering mathematics Continuum mechanics Mechanical engineering |
| url | https://doi.org/10.1007/978-3-662-04006-5 |
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