This new advanced text/reference presents an introduction to many aspects of fluid mechanics, with particular emphasis on the description and response of nonlinear fluids. Results are developed and established with rigor, and the topics span from Euler fluids to fluids that have memory. All the standard topics are clearly presented, including relevant nonlinear fluid topics. The applications selected were done so for their relevance to fluids, both classical and nonlinear. The discussions are technically accessible to readers with a background in standard undergraduate mathematics. Topics and *Integrated chapter exercises *Numerous detailed, worked examples and results *Visometric flows *Nonlinear fluids *Navier-Stokes fluids *Compressible and incompressible Euler fluids and flows All applied mathematicians, mechanical engineers, aerospace engineers, and engineering mechanics graduates and researchers will find the book an essential reading resource for fluids. It is also suitable as a self-study/reference guide.