This book deals with numerical methods for boundary-value problems in ordinary and partial differential equations (mainly linear ones) whose solutions have boundary layers due to a small positive perturbation parameter multiplying the highest derivatives. The proposed methods are robust in the sense that they effecively resolve boundary layers and preserve uniformity in the perturbation parameter both in terms of accuracy and time/memory requirements. A novice will probably find the book more useful and interesting than a specialist, as the book represents a good introduction to the field. A specialist mathematician may be disappointed by the lack of detailed proofs for most of the more complicated PDE problems. Some of those proofs exist in the not easily accessable works of one of the co-authors (Shishkin), but still remain unknown to wider public. On the other hand, detailed proofs are given for linear ODE problems everything is known about. An engineer will certainly appreciate that the book describes all possible difficulties that may be encountered when solving these complicated problems numerically. (S)he will find the robustness of the methods attractive but will be disappointed by their low accuracy (the order of accuracy is most often less than one). It is very likely that engineers will continue using the existing higher order methods, even though the requirements of those methods may be nonuniform in the perturbation parameter.

There is an apparent dearth of quality textbooks available on the important and controversial topic of American educational quality and equality. While this book attempts to make inroads, the result is disappointingly heavy on bias, opinion, and over reliance on sketchy studies and too numerous quotes from other works. Additionally, the book is aesthetically unappealling (the paper utilized is coloring book-like) and sloppily full of grammatical and typographical errors. This text was assigned by a well-respected university professor for a senior-level sociology course, but unfortunately, reading this text is more an exercise in wading through opinionated liberalist rhetoric rather than exposure to a fact-based analysis into this important issue. The author, with loose ties to Johns Hopkins and Harvard, knows better, and the topic deserves better.

The questions are well-written with good explanation. However,they are not searching enough and are rather easy. END