Ebook: Engineering Applications of the Laplace Transform

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.