Penulis: Sundarapandian Vaidyanathan, Aceng Sambas, Mohamad Afendee Mohamed

This well-designed text provides a clear analysis of the fundamental concepts of Laplace Transforms and details its various applications in Science and Engineering. It presents clear definitions of Laplace Transforms, Inverse Laplace Transforms, lists out numerous properties of Laplace Transforms, Inverse Laplace Transforms and details several examples illustrating the computation and applications of Laplace Transforms and Inverse Laplace Transforms.

This work is intended as a text-book for all Science, Mathematics and Engineering courses involving Laplace transforms. Laplace transforms have many important applications in Mathematics, Physics, Optics, Electrical and Electronics Engineering, Mechanical Engineering and Control Engineering. This book has numerous applications with several worked examples on the applications of Laplace Transforms.

 The book is organized in eight compact chapters. The first chapter presents the theory, properties and computation of   Laplace transforms. The second Chapter presents the theory, properties and computation of inverse Laplace transforms. The third chapter describes the applications of Laplace Transforms to Ordinary Differential Equations (ODE). The fourth chapter details the applications of Laplace transforms in Mechanics.  The fifth chapter delves on the applications of Laplace transforms in electrical circuits.  The sixth chapter explains the applications of Laplace transforms to simultaneous Ordinary Differential Equations (ODE).  The seventh chapter describes the applications of Laplace transforms to integral and integro-differential equations. The eighth chapter details the applications of Laplace transforms to Partial Differential Equations (PDE).