Qin (mechanical and mechatronic engineering, U. of Sydney) details the development of the two techniques and ideas, beginning with basic principles, and illustrates new concepts with examples whenever possible. He explains that the internal fields of Trefftz finite elements fulfill the governing differential equations of the problem a priori , whereas inter-element continuity and boundary conditions are enforced in an integral weighted residual sense or pointwise. He writes for researchers, engineers, and scientists who are adept in the standard calculus and hopefully have some knowledge of matrix presentation. Distributed in North America by Computational Mechanics. Annotation c. Book News, Inc., Portland, OR (booknews.com)