- #1
OneEye
In Relativity, (p. 45), Dr. Einstein says:
How does one get from the second equation to the third? What is meant by "develop[ing] the expression... in the form of a series"?
Any help would be more than appreciated.
...the energy of a material point of mass m is no longer gievn by the well-known expression
[tex]m { v \over c^2 } [/tex]
but by the expression
[tex] { m c^2 } \over \sqrt { 1 - { v^2 \over c^2 } } [/tex]
...If we develop the expression for the kinetic energy in the form of a series, we obtain
[tex]mc^2 + m { v^2 \over 2 } + { 3 \over 8 } m { v^4 \over c^2 } . . . .[/tex]
How does one get from the second equation to the third? What is meant by "develop[ing] the expression... in the form of a series"?
Any help would be more than appreciated.