The Laplace Transform is a widely used "Integral Transform with many applications in Physics & Engineering". Denoted L{
} , It is a linear operator of a function 
with a real argument 
( 
0 ) that transforms it to a function 
with a complex argument " 
".
} , It is a linear operator of a function with a real argument ( 0 ) that transforms it to a function with a complex argument " ".
This Transformation is essentially "bijective" for the majority of practical uses.
The Laplcae Transform is Used for solving differential and integral equations. In Physics and Engineering it is used for analysis of linear variant time systems such as electrical circuits , harmonic oscillators , optical devices , & mathematical systems.
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