Basic Algebra
Definition 
Laws in physics are formulated in abstract form, that is, establishing relationships between variables that can assume any value. Algebra gives us the rules to manipulate these expressions and obtain new expressions as necessary.
ID:(491, 0)
Algebra
Description 
Variables
Calculations
Calculations
Equations
(ID 3301)
(ID 3302)
(ID 3303)
(ID 3304)
(ID 3305)
(ID 3306)
(ID 3307)
(ID 3309)
(ID 3312)
(ID 3313)
Examples
Laws in physics are formulated in abstract form, that is, establishing relationships between variables that can assume any value. Algebra gives us the rules to manipulate these expressions and obtain new expressions as necessary.
(ID 491)
In case two variables
| $a=b$ |
(ID 3305)
$c = a+b$
(ID 3301)
$c=a-b$
(ID 3302)
$a+b=b+a$
(ID 3304)
$b+(-b)=0$
(ID 3303)
$c=a*b$
(ID 3306)
$a*b=b*a$
(ID 3312)
$b*(b^{-1})=1$
(ID 3307)
$c=\displaystyle\frac{a}{b}$
(ID 3308)
$c=a^b$
(ID 3309)
$a^{b_1}a^{b_2}=a^{b_1+b_2}$
(ID 3311)
$a^{b+(-b)}=a^{b-b}=a^0=1$
(ID 3310)
$a^0=1$
(ID 3313)
ID:(418, 0)
