Page:A Treatise on Electricity and Magnetism - Volume 1.djvu/21

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CONTENTS.

On the Measurement of Quantities.
Art.
Page
001. The expression of a quantity consists of two factors, the numerical value, and the name of the concrete unit
001
002. Dimensions of derived units
001
003–5. The three fundamental units—Length, Time and Mass
2, 3
006. Derived units
005
007. Physical continuity and discontinuity
006
008. Discontinuity of a function of more than one variable
007
009. Periodic and multiple functions
008
10. Relation of physical quantities to directions in space
008
11. Meaning of the words Scalar and Vector
009
12. Division of physical vectors into two classes, Forces and Fluxes
10
13. Relation between corresponding vectors of the two classes
11
14. Line-integration appropriate to forces, surface-integration to fluxes
12
15. Longitudinal and rotational vectors
12
16. Line-integrals and potentials
13
17. Hamilton's expression for the relation between a force and its potential
15
18. Cyclic regions and geometry of position
16
19. The potential in an acyclic region is single valued
17
20. System of values of the potential in a cyclic region
18
21. Surface-integrals
19
22. Surfaces, tubes, and lines of flow
21
23. Right-handed and left-handed relations in space
24
24. Transformation of a line-integral into a surface-integral
25
25. Effect of Hamilton's operation on a vector function
27
26. Nature of the operation
29