Table of contents for About vectors / Banesh Hoffman.


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1
_ INTRODUCING VECTORS
_ 1. Defining a vector
_ 2. The parallelogram law
_ 3. Journeys are not vectors
_ 4. Displacements are vectors
_ 5. Why vectors are important
_ 6. The curious incident of the vectorial tribe
_ 7. Some awkward questions
2
_ ALGEBRAIC NOTATION AND BASIC IDEAS
_ 1. Equality and addition
_ 2. Multiplication by numbers
_ 3. Subtraction
_ 4. Speed and velocity
_ 5. Acceleration
_ 6. Elementary statics in two dimensions
_ 7. Couples
_ 8. The problem of location. Vector fields
3
_ VECTOR ALGEBRA
_ 1. Components
_ 2. Unit orthogonal triads
_ 3. Position vectors
_ 4. Coordinates
_ 5. Direction cosines
_ 6. Orthogonal projections
_ 7. Projections of areas
4
_ SCALARS. SCALAR PRODUCTS
_ 1. Units and scalars
_ 2. Scalar products
_ 3. Scalar products and unit orthogonal triads
5
_ VECTOR PRODUCTS. QUOTIENTS OF VECTORS
_ 1. Areas of parallelograms
_ 2. "Cross products of i, j, and k"
_ 3. "Components of cross products relative to i, j, and k"
_ 4. Triple products
_ 5. Moments
_ 6. Angular displacements
_ 7. Angular velocity
_ 8. Momentum and angular momentum
_ 9. Areas and vectorial addition
_ 10. Vector products in right- and left-handed reference frames
_ 11. Location and cross products
_ 12. Double cross
_ 13. Division of vectors
6
_ TENSORS
_ 1. How components of vectors transform
_ 2. The index notation
_ 3. The new concept of a vector
_ 4. Tensors
_ 5. Scalars. Contraction
_ 6. Visualizing tensors
_ 7. Symmetry and antisymmetry. Cross products
_ 8. Magnitudes. The metrical tensor
_ 9. Scalar products
_ 10. What then is a vector?
_ INDEX



Library of Congress subject headings for this publication:
Vector analysis.