| Titre : |
Analytic and vector mechanics |
| Type de document : |
texte imprimé |
| Auteurs : |
Hiram Wheeler Edwards,, Auteur |
| Editeur : |
New York : Dover publications |
| Année de publication : |
1933 |
| Importance : |
X, 428 p |
| Présentation : |
ill. |
| Format : |
22 cm. |
| Note générale : |
Index |
| Langues : |
Anglais (eng) |
| Mots-clés : |
Mécanique analytique
Analyse vectorielle |
| Index. décimale : |
517.93 Équations différentielles particulières. Systèmes de mécanique analytique, de contrôle automatique, d'opérateurs. Systèmes dynamique |
| Résumé : |
Analytic and Vector Mechanics
By Hiram W. Edwards
From both the mathematical and physical points of view, this book is one of the most careful and intelligible introductions to mechanics on the market. Presupposing only a knowledge of calculus and of elementary concepts of physics, it is a pellucid intermediate-level account which can serve students as a fine course text in me-chanics or as supplementary reading for purposes of getting a clearer view of spe-cific topics.
The book is distinguished throughout by the special care Professor Edwards takes in his exposition of concepts and the mathematics involved. The first four chapters fur-nish particularly lucid accounts of fundamental topics, such as linear velocity, accel-eration, coordinate systems, vectors, angular velocity, etc. The author then takes up harmonic motion (including Lissajous curves, Fourier series, etc.), inertia and mass, and basic equations (force, work, impulse, etc.). Chapters also deal with statics, forces of attraction and potential, central forces and Kepler's laws, damped harmonic motion, and motion of a particle in fluids with resistance.
A discussion of vector fields takes into account the Gauss integral, Poisson's and Laplace's equations, the curl of a vector, and Stokes's theorem. The book continues with an examination of problems illustrating fundamental principles (the rolling cyl-inder, falling rod, swinging bar, sliding sphere, and so forth), the general motion of a rigid body (including Euler's equation and precessional motion), and a number of other general principles such as D'Alembert's principle, Lagrange's equations, and Hamilton's principle. One of the valuable features of this work is the wealth of suggestions and concrete illustrations needed for future study in the field.
The book employs vector methods extensively, but usually supplements them with the more familiar scalar treatments. Not only does this approach give the student a better understanding of mechanics and enable him to handle problems analytically, but it lays the groundwork for advanced work in which vector methods are com-monly used.
|
| Note de contenu : |
Summary:
1. Velocity
2. Vector
3. Angular velocity
4. Acceleration
5. Harmonic montion
6. Inertia and mass
7. The fundamental equations in translation
8. The dynamical equations for pure rotation
9. Statics
10. Forces of attraction and potential
11. Central forces
12. Motion of particle in fluides with resistance
13. Dumped harmonic motion
14. Vector fields
15. Problems Illustrating the fundamental principles
16. General motion of a rigid body
17. Other general principles
|
Analytic and vector mechanics [texte imprimé] / Hiram Wheeler Edwards,, Auteur . - New York : Dover publications, 1933 . - X, 428 p : ill. ; 22 cm. Index Langues : Anglais ( eng)
| Mots-clés : |
Mécanique analytique
Analyse vectorielle |
| Index. décimale : |
517.93 Équations différentielles particulières. Systèmes de mécanique analytique, de contrôle automatique, d'opérateurs. Systèmes dynamique |
| Résumé : |
Analytic and Vector Mechanics
By Hiram W. Edwards
From both the mathematical and physical points of view, this book is one of the most careful and intelligible introductions to mechanics on the market. Presupposing only a knowledge of calculus and of elementary concepts of physics, it is a pellucid intermediate-level account which can serve students as a fine course text in me-chanics or as supplementary reading for purposes of getting a clearer view of spe-cific topics.
The book is distinguished throughout by the special care Professor Edwards takes in his exposition of concepts and the mathematics involved. The first four chapters fur-nish particularly lucid accounts of fundamental topics, such as linear velocity, accel-eration, coordinate systems, vectors, angular velocity, etc. The author then takes up harmonic motion (including Lissajous curves, Fourier series, etc.), inertia and mass, and basic equations (force, work, impulse, etc.). Chapters also deal with statics, forces of attraction and potential, central forces and Kepler's laws, damped harmonic motion, and motion of a particle in fluids with resistance.
A discussion of vector fields takes into account the Gauss integral, Poisson's and Laplace's equations, the curl of a vector, and Stokes's theorem. The book continues with an examination of problems illustrating fundamental principles (the rolling cyl-inder, falling rod, swinging bar, sliding sphere, and so forth), the general motion of a rigid body (including Euler's equation and precessional motion), and a number of other general principles such as D'Alembert's principle, Lagrange's equations, and Hamilton's principle. One of the valuable features of this work is the wealth of suggestions and concrete illustrations needed for future study in the field.
The book employs vector methods extensively, but usually supplements them with the more familiar scalar treatments. Not only does this approach give the student a better understanding of mechanics and enable him to handle problems analytically, but it lays the groundwork for advanced work in which vector methods are com-monly used.
|
| Note de contenu : |
Summary:
1. Velocity
2. Vector
3. Angular velocity
4. Acceleration
5. Harmonic montion
6. Inertia and mass
7. The fundamental equations in translation
8. The dynamical equations for pure rotation
9. Statics
10. Forces of attraction and potential
11. Central forces
12. Motion of particle in fluides with resistance
13. Dumped harmonic motion
14. Vector fields
15. Problems Illustrating the fundamental principles
16. General motion of a rigid body
17. Other general principles
|
|
517 Analyse mathématique 
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