This is one of the books in a series designed to provide engineering students in colleges and universities with a mathematical toolkit. In the United Kingdom, it is aimed primarily at HNC/HND students and first year undergraduates. Thus the mathematics assumed is that in BTEC National Certificates and Diplomas or in A-level. The pace of development of the mathematics has been aimed at the notional reader for whom mathematics is not their prime interest or "best subject" but who need the mathematics in their other studies. The mathematics is developed and applied in an engineering context with large numbers of worked examples and problems, all with answers, being supplied. This book is concerned with Laplace and z-transforms and their application in, primarily, electrical/electronic and control engineering. A familiarity with basic calculus is assumed. The aim has been to include sufficient worked examples and problems to enable the reader to acquire some proficiency in the handling of Laplace transforms and an introduction to z-transforms.