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Elementary vectors /
Elementary Vectors, Third Edition serves as an introductory course in vector analysis and is intended to present the theoretical and application aspects of vectors.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford [England] ; New York :
Pergamon Press,
1978.
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| Edición: | 3d edition. |
| Colección: | Pergamon international library of science, technology, engineering, and social studies.
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| Temas: | |
| Acceso en línea: | Texto completo Texto completo |
Tabla de Contenidos:
- Front Cover; Elementary Vectors; Copyright Page; Table of Contents; PREFACE TO THIRD EDITION; CHAPTER I; 1.1. Real Numbers and Scalar Quantities; 1.2. Vector Quantities; 1.3. Notation; 1.4. Nomenclature; 1.5. Equivalence of Two Vectors; 1.6. Sum of Two Vectors; 1.7. Difference of Two Vectors; 1.8. Multiplication of a Vector by a Real Number; 1.9. Sum of a Number of Vectors; 1.10; 1.11. Unit Vector; 1.12. Components of a Vector; 1.13. The Components of the Sum of Two Vectors; 1.14; 1.15. Modulus of a Vector in Terms of its Components in Three Mutually Perpendicular Directions.
- 1.16. Oblique Axes1.17. Direction Cosines and Direction Ratios; 1.18. Geometrical Application; 1.19. Centroid of a Triangle; CHAPTER II; 2.1; 2.2; 2.3; 2.4; 2.5. Scalar Product of Two Vectors; 2.6. Vector Product of Two Vectors; 2.7. Distributive Law-Scalar Product; 2.8; 2.9. Distributive Law-Vector Product; 2.10; 2.11; 2.12; 2.13; 2.14. Vector Area; 2.15. Triple Products of Three Vectors; 2.16. Scalar Triple Product; 2.17; 2.18. Vector Triple Product; CHAPTER III; 3.1; 3.2. Derivative of a Sum of Two Vectors; 3.3. Derivative of a Product.
- 3.4. Derivative of a Triple Product of Three Vectors3.5. Integration; 3.6; CHAPTER IV; 4.1; 4.2; 4J; 4.4; 4.5. Momentum; 4.6. Newton's Laws of Motion Applied to a Particle; 4.7; CHAPTER V; 5.1; 5.2; 5.3; 5.4. The Inverse Square Law (First Method); 5.5. The Inverse Square Law (Second Method); 5.6. Laws of Force Other than the Inverse Square Law; CHAPTER VI; 6.1; 6.2. Equation of a Straight Line Through a Giyen Point in a Given Direction; 6.3. Equation of a Straight Line through Two Given Points.
- 6.4. Equation of a Plane Through a Given Point and Parallel to Two Given Vectors6.5. Equation of a Plane Containing Three Given Points; 6.6. Equation of a Plane Containing a Given Point and Normal to a Given Direction; 6.7. Alternative Forms of the Equation of a Plane and of its Distance from the Origin; 6.8. Vector Area and Condition for Collinearity; CHAPTER VII; 7.1. Parametric Equations; 7.2. Tangent to a Curve; 7.3. Tangent Plane to a Surface; 7.4. Some Special Cases; APPENDIX; A1.; A2. Vectors; A3. Notation; A4. Examples of Vector Notation; A5. Historical Note.
- A6. OperationsANSWERS; INDEX.