Eliashberg and Mishachev (credentials not listed) discuss two methods for proving the h-principle: holonomic approximation and convex integration. Applications to symplectic and contact geometry are emphasized. A brief text, the book is suited for a graduate-level course on geometric methods for solving partial differential equations and inequalities. Numerous diagrams illustrate the principles and concepts described in the text. Annotation c. Book News, Inc., Portland, OR (booknews.com)