| Titre : |
Mathematics Applied to Deterministic Problems in the Natural Sciences |
| Type de document : |
texte imprimé |
| Auteurs : |
Chia Chiao Lin, Auteur ; Lee Aaron Segel, Auteur |
| Editeur : |
Society for Industrial and Applied Mathematics |
| Année de publication : |
1988 |
| Importance : |
XXII-609 P. |
| Présentation : |
broche |
| Format : |
23 cm |
| ISBN/ISSN/EAN : |
978-0-89871-229-2 |
| Langues : |
Anglais (eng) |
| Catégories : |
(02.90) Mathematiques appliquees a la physique
|
| Mots-clés : |
Mathematical methods in physics |
| Index. décimale : |
02.90 |
| Résumé : |
I An overview of the interaction of mathematics and natural science. - 1 What is applied mathematics. - 2 Deterministic systems and ordinary differential equations. - 3 Random processes and partial differential equations. - 4 Superposition, heat flow, and fourier analysis. - 5 Further Developments in Fourier Analysis. - II Some fundamental procedures illustrated on ordinary differential equations. - 6 Simplification, dimensional analysis, and scaling. - 7 Regular perturbation theory. - 8 Illustration of techniques on a physiological flow problem. - 9 Introduction to singular perturbation theory. - 10 Singular perturbation theory applied to a problem in biochemical kinetics. - 11 Three techniques applied to the simple pendulum. - III Introduction to theories of continuous fields. - 12 Longitudinal motion of a bar. - 13 The continuous medium. - 14 Field equations of continuum mechanics. - 15 Inviscid fluid flow. - 16 Potential theory |
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