How can I study Z-transform, Laplace transform, Fourier transform?

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I am a student majoring in electrical engineering. Actually, I know those transformaton formulas. However, I do not grasp that physical meaning. So, I made a decision to study them with fundamental textbook. Can someone recommend which book gives me their physical meaning in a detail? I surely want the book to have concise and rigorous mathematical explanation.

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Differential Equations with boundry-value problems seventh Edition by Dennis G.Zill and Michael R.Cullen. This book is very nice I had this as course book when I studied Signal and Systems course.

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