Textbook in PDF format

This book is aimed explicitly at undergraduates and graduates in applied mathematics, electrical and electronic engineering, physics, and computer
science. The reader can follow the step by step problem solving and derivations presented with minimal instructor assistance. The first two chapters give a straightforward introduction to the Laplace transform, including its functional properties, finding inverse Laplace transforms by different methods, and the operating properties of inverse Laplace transform. Chapter 3 describes transfer function applications for mechanical and electrical networks to develop the input and output relationships. Chapters 4 and 5 demonstrate applications in problem solving, such as the solution of LTI differential equations arising in electrical and mechanical engineering fields, along with the initial conditions. The state-variables approach is discussed in Chapter 6 and explanations of boundary value problems connected with the heatconduction, waves, and vibrations in elastic solids are presented in Chapter 7