Title:
About vectors
Personal Author:
Publication Information:
New York : Dover, 1966
ISBN:
9780486604893
Subject Term:
Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000004189571 | QA261 H63 1966 | Open Access Book | Book | Searching... |
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Summary
Summary
No calculus needed, but this is not an elementary book. Introduces vectors, algebraic notation and basic ideas, vector algebra and scalars. Includes 386 exercises.
Author Notes
Banesh Hoffmann (1906-86) received his PhD from Princeton University. At Princeton's Institute for Advanced Study, he collaborated with Albert Einstein and Leopold Infeld on the classic paper "Gravitational Equations and the Problem of Motion." Hoffmann taught at Queens College for more than 40 years.
Table of Contents
| 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 |
