It is typically used to convert a function from the time to the frequency domain.
Laplace Transforms are used to solve differential equations.
The Laplace transformation is important in engineering and mathematics because it allows for the analysis and solution of differential equations, including those of linear time-invariant systems. It facilitates the transfer of problems from the time domain to the frequency domain, making complex phenomena more easily understood and analyzed. Additionally, the Laplace transformation provides a powerful tool for solving boundary value problems and understanding system behavior.
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 has written: 'Advanced calculus' -- subject(s): Calculus 'The Laplace transform' -- subject(s): Laplace transformation 'The laplace transform' -- subject(s): Laplace transformation 'An introduction to transform theory' -- subject(s): Integral transforms
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
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.
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