Laplace Transform Basics

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What is the Laplace transform used for in science and engineering?

Solving linear differential equations (correct)

Converting algebraic equations to differential equations

Solving quadratic equations

Converting complex variables to real variables

Who is the Laplace transform named after?

Pierre-Simon Laplace (correct)

Thomas Bromwich

Niels Henrik Abel

Mathias Lerch

What did Laplace write extensively about in 1814?

Generating functions (correct)

Convolution

Algebraic equations

Probability theory

Who further developed the theory of the Laplace transform in the 19th and early 20th centuries?

All of the above Signup and view all the answers

When did the widespread use of the Laplace transform in engineering come about?

During and soon after World War II Signup and view all the answers

What is the Laplace transform used for in mathematics?

Converting functions of a real variable into a function of a complex variable Signup and view all the answers

Who is the Laplace transform named after?

Pierre-Simon Laplace Signup and view all the answers

What is the Laplace transform similar to in Laplace's work on probability theory?

Generating functions Signup and view all the answers

When did the widespread use of the Laplace transform in engineering come about?

During and soon after World War II Signup and view all the answers

Who further developed the theory of the Laplace transform in the 19th and early 20th centuries?

Thomas Bromwich Signup and view all the answers

Which mathematician and astronomer is the Laplace transform named after?

Pierre-Simon Laplace Signup and view all the answers

What type of equations does the Laplace transform help to solve?

Linear differential equations Signup and view all the answers

Who gave little attention to the continuous variable case of the Laplace transform?

Pierre-Simon Laplace Signup and view all the answers

Which integral transform converts a function of a real variable to a function of a complex variable?

Laplace transform Signup and view all the answers

Which mathematician wrote extensively about the use of generating functions and contributed to the evolution of the integral form of the Laplace transform?

Pierre-Simon Laplace Signup and view all the answers

Laplace Transform Basics

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Questions and Answers

What is the Laplace transform used for in science and engineering?

Who is the Laplace transform named after?

What did Laplace write extensively about in 1814?

Who further developed the theory of the Laplace transform in the 19th and early 20th centuries?

When did the widespread use of the Laplace transform in engineering come about?

What is the Laplace transform used for in mathematics?

Who is the Laplace transform named after?

What is the Laplace transform similar to in Laplace's work on probability theory?

When did the widespread use of the Laplace transform in engineering come about?

Who further developed the theory of the Laplace transform in the 19th and early 20th centuries?

Which mathematician and astronomer is the Laplace transform named after?

What type of equations does the Laplace transform help to solve?

Who gave little attention to the continuous variable case of the Laplace transform?

Which integral transform converts a function of a real variable to a function of a complex variable?

Which mathematician wrote extensively about the use of generating functions and contributed to the evolution of the integral form of the Laplace transform?

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