Our first knowledge of differential geometry usually comes from the study of the curves and surfaces in $I!!R^3$ that arise in calculus. Here we learn about line and surface integrals, divergence and curl, and the various forms of Stokes' Theorem. If we are fortunate, we may encounter curvature and such things as the Serret-Frenet formulas. With just the basic tools from multivariable calculus, plus a little knowledge of linear algebra, it is possible to begin a much richer and rewarding study of differential geometry, which is what is presented in this book.
This introduction presents the mathematical theory of probability for readers in the fields of engineering and the sciences who possess knowledge of elementary calculus. Presents new examples and exercises throughout. Offers a new section that presents an elegant way of computing the moments of random variables defined as the number of events that occur. Gives applications to binomial, hypergeometric, and negative hypergeometric random variables, as well as random variables resulting from coupon collecting and match models.
The book focuses on the dynamics of nonlinear oligopoly models. It discusses the classical Cournot model with a large variety of demand and cost functions that illustrate the many different types of possible best response functions and shows the existence of unique and multiple equilibria. Particular emphasis is placed on the influence of nonnegativity and capacity constraints. Dynamics are introduced under various assumptions for the adjustment process and the analysis of global dynamics is given through some specific examples.
"Take fundamental principles of psychology. Illustrate. Combine with Fundamental Principles of Design. Stir gently until fully blended. Read daily until finished. Caution: The mixture is addictive." -- Don Norman, Nielsen Norman group, Author of Design of Future Things. "[This book] is a primer to understand the why of the larger human action principles at work-a sort of cognitive science for designers in a hurry. ..." -- Stuart Card, Senior Research Fellow and the manager of the User Interface Research group at the Palo Alto Research Centerfrom the foreword
The third edition of this authoritative, comprehensive, in-depth medical guide features information on more than 1,700 medical topics in language accessible to adult laypersons.
