0
votes
0answers
30 views

reference text for all transforms

I want to learn Fourier and laplace transform by myself.I have learnt 'calculus-one variable' and beginning to enter 'calculus-multiple variables'.can anybody tell any good books for begin studying ...
0
votes
0answers
46 views

Theories for Laplace Transform

To my knowledge, Fourier transform is related to some strong and powerful theories. It is a well defined rotation on $\mathcal{L}_2(V, \mathbb{C})$ and can be extended as an isomorphism on ...
5
votes
2answers
171 views

What kind of book would show where the inspiration for the Laplace transform came from?

I'm trying to find out where to learn about integral transforms and inversions like the Laplace transform and the Bromwich integral. I'm looking for a book that describes how you can find (derive) ...
3
votes
2answers
233 views

Two-sided Laplace transform

I want to study more formally the properties of the two sided Laplace transform $$ \hat f(z)=\int_{-\infty}^{\infty} f(t)e^{zt}dt $$ as a kind of generalization of the Fourier transform. I found some ...