An introduction to both regular and singular perturbation methods for algebraic and differential equations. It distinguishes between formal and rigorous asymptotic validity, which are commonly confused in books that treat perturbation theory as a bag of heuristic tricks with no foundation. The meaning of "uniformity" is carefully explained in a ......
Singular perturbations and time-scale techniques were introduced to control engineering in the late 1960s and have since become common tools for the modelling, analysis, and design of control systems. In this SIAM Classics edition of the 1986 book, the original text is reprinted in its entirety (along with a new preface), providing once again the ......
Presents a selected group of methods for unconstrained and bound constrained optimization problems and analyses them in depth both theoretically and algorithmically. The text focuses on clarity in algorithmic description and analysis rather then generality, and while it provided pointers to the literature for the most general theoretical results ......
This SIAM Classics edition is an unabridged, corrected republication of the work first published in 1977. It provides a compendium of applied aspects of ordering and selection procedures and includes tables that permit the practitioner to carry out the experiment and draw statistically justified conclusions. These tables are not readily available ......
An encyclopaedia for the literature on graph classes, this volume contains a survey of more than 200 classes of graphs, organized by types of properties used to define and characterize the classes, citing key theorems and literature references for each. The authors state results without proof, providing readers with access to a wide selection of ......
This introductory textbook explains how and why probability models are applied to scientific fields such as medicine, biology, physics, oceanography, economics and psychology to solve problems about stochastic processes. It does not just show how a problem is solved but explains why by formulating questions and first steps in the solutions. ......
Matrix analysis methods are popular as modelling tools because they give one the ability to construct and analyze a wide class of queuing models in a unified and algorithmically tractable way. The authors present the basic mathematical ideas and algorithms of the matrix analytic theory in a readable, up-to-date and comprehensive manner. In the ......
A book that presents real applications of graph theory in a unified format. This book is the only source for an extended, concentrated focus on the theory and techniques common to various types of intersection graphs. It is a concise treatment of the aspects of intersection graphs that interconnect many standard concepts and form the foundation ......
Recent interest in biological games and mathematical finance makes this classic 1982 text a necessity once again. Unlike other books in the field, this text provides an overview of the analysis of dynamic/differential zero-sum and nonzero-sum games and simultaneously stresses the role of different information patterns. The first edition was fully ......
