In less than 100 pages, this text covers the main vector variational methods developed to solve nonlinear elasticity problems. Presenting a general framework with a tight focus, the author provides a comprehensive exposition of a technically difficult, yet rapidly developing area of modern applied mathematics. The work includes the classical ......
Linear Matrix Inequalities (LMIs) have emerged as useful tools for solving a number of control problems. This volume provides an account of LMI method and covers topics such as LMI algorithms, analysis and synthetic issues, nonconvex problems, and applications. It also emphasizes applications of the method to areas other than control. The basic ......
Interest in the temporal fluctuations of biological populations can be traced to the dawn of civilization. How can mathematics be used to gain an understanding of population dynamics? This monograph introduces the theory of structured population dynamics and its applications, focusing on the asymptotic dynamics of deterministic models. This theory ......
Linear Ordinary Differential Equations, a text for advanced undergraduate or beginning graduate students, presents a thorough development of the main topics in linear differential equations. A rich collection of applications, examples, and exercises illustrates each topic. The authors reinforce students' understanding of calculus, linear algebra, ......
In this translation of the German edition, the authors provide insight into the numerical simulation of fluid flow. Using a simple numerical method as an expository example, the individual steps of scientific computing are presented: The derivation of the mathematical model. The discretization of the model equations. The development of ......
Designed for first-year graduate students from a variety of engineering and scientific disciplines, this comprehensive textbook covers the solution of linear systems, least squares problems, eigenvalue problems, and the singular value decomposition. The author, who helped design the widely used LAPACK and ScaLAPACK linear algebra libraries, draws ......
This self-contained volume studies the basic equations of kinetic theory in all of space. It contains recent treatments of initial-value problems for the major kinetic equations, including the Boltzmann equation (from rarefied gas dynamics) and the Vlasov-Poisson/Vlasov-Maxwell systems (from plasma physics). This book has the advantage of treating ......
An accessible text for the study of numerical methods for solving least squares problems remains an essential part of a scientific software foundation. Numerical analysts, statisticians, and engineers have developed techniques and nomenclature for the least squares problems of their own discipline. This well-organized presentation of the basic ......
This book of worked-out examples not only accompanies Timothy M Hagle's earlier book Basic Math for Social Scientists: Concepts but also provides an informal refresher course in algebra sets, limits and continuity, differential calculus, multivariate functions, partial derivatives, integral calculus and matrix algebra. Problem sets are also provided so that readers can practice their grasp of standard mathematical procedures.
