It is typically used to convert a function from the time to the frequency domain.
Laplace Transforms are used to solve differential equations.
Ralph Calvin Applebee has written: 'A two parameter Laplace's method for double integrals' -- subject(s): Integrals, Laplace transformation
Myril B. Reed has written: 'Electric network theory, Laplace transform technique' -- subject(s): Electric networks, Laplace transformation
D. V. Widder was an American mathematician who is best known for his book "Advanced Calculus," which is a popular text on the subject. He also made significant contributions to the field of mathematical analysis.
Eginhard J. Muth has written: 'Transform methods' -- subject(s): Engineering, Laplace transformation, Operations research, Z transformation
Work in Celestial Mechanics Laplace's equation Laplacian Laplace transform Laplace distribution Laplace's demon Laplace expansion Young-Laplace equation Laplace number Laplace limit Laplace invariant Laplace principle -wikipedia
Dio Lewis Holl has written: 'Plane-strain distribution of stress in elastic media' -- subject(s): Elasticity, Strains and stresses 'Introduction to the Laplace transform' -- subject(s): Laplace transformation
George E Witter has written: 'Nebular hypothesis' -- subject(s): Cosmogony, Laplace transformation
Karl Willy Wagner has written: 'Operatorenrechnung und Laplacesche Transformation, nebst Anwendungen in Physik und Technik' -- subject(s): Calculus, Operational, Laplace transformation, Operational Calculus
Fritz Oberhettinger has written: 'Tables of Laplace transforms' -- subject(s): Laplace transformation 'Tabellen zur Fourier Transformation' -- subject(s): Mathematics, Tables, Fourier transformations 'Tabellen zur Fourier Transformation' -- subject(s): Mathematics, Tables, Fourier transformations 'Tables of Bessel transforms' -- subject(s): Integral transforms, Bessel functions 'Anwendung der elliptischen Funktionen in Physik und Technik' -- subject(s): Elliptic functions
The use of the Laplace transform in industry:The Laplace transform is one of the most important equations in digital signal processing and electronics. The other major technique used is Fourier Analysis. Further electronic designs will most likely require improved methods of these techniques.
Laplace Transformation is modern technique to solve higher order differential equations.It has several great advantages over old classical method, such as: # In this method we don't have to put the values of constants by our self. # We can solve higher order differential equations also of more than second degree equations because using classical mothed we can only solve first or second degree differential equations.