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This significant and timely new ASTM publication explores the problems involved with the inherent limitations that are present in all test methods. These limitations, caused by numerous variables, have a direct influence on the accuracy of the generated test data. This volume demonstrates how to properly use and select test methods for specific applications, and how to better understand the generated test data.

This book presents the fundamentals of sparse matrix algorithms, from theory to algorithms and data structures to working code. The focus is on direct methods for solving systems of linear equations; iterative methods and solvers for eigenvalue problems are beyond the scope of this book. The goal is to impart a working knowledge of the underlying theory and practice of sparse matrix algorithms, so that you will have the foundation to understand more complex (but faster) algorithms. Methods that operate on dense sub matrices of a larger sparse matrix ( multifrontal and supermodel methods) are much faster, but a complete sparse matrix package based on these methods can be tens of thousands of lines long.

This book examines various mathematical tools-based on generalized collocation methods-to solve nonlinear problems related to partial differential and integro-differential equations. Covered are specific problems and models related to vehicular traffic flow, population dynamics, wave phenomena, heat convection and diffusion, transport phenomena, and pollution.

Clearly and elegantly presented, Mathematical Methods in Science and Engineering provides a coherent treatment of mathematical methods, bringing advanced mathematical tools to a multidisciplinary audience. The growing interest in interdisciplinary studies has brought scientists from many disciplines such as physics, mathematics, chemistry, biology, economics, and finance together, which has increased the demand for courses in upper-level mathematical techniques. This book succeeds in not only being tuned in to the existing practical needs of this multidisciplinary audience, but also plays a role in the development of new interdisciplinary science by introducing new techniques to students and researchers.

This book surveys Topology and Differential Geometry and also, Lie Groups and Algebras, and their Representations. The former topic is indispensable to students of gravitation and related areas of modern physics, including string theory. The latter has applications in gauge theory and particle physics, integrable systems and nuclear physics, among many others.

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Modern Methods for Theoretical Physical Chemistry of Biopolymers provides an interesting selection of contributions from an international team of researchers in theoretical chemistry. This book is extremely useful for tackling the complicated scientific problems connected with biopolymers physics and chemistry. The applications of both the classical molecular-mechanical and molecular-dynamical methods and the quantum chemical methods needed for bridging the gap to structural and dynamical properties dependent on electron dynamics are explained. Also included are ways to deal with complex problems when all three approaches need to be considered at the same time. The book gives a rich spectrum of applications: from theoretical considerations of how ATP is produced and used as energy currency in the living cell, to the effects of subtle solvent influence on properties of biopolymers and how structural changes in DNA during single-molecule manipulation may be interpreted.

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This volume is an interdisciplinary treatise on the theoretical approach to solvation problems. Solvents are important in chemistry, physics, and biology. Almost all experiments made in organic chemistry, including all kinds of spectroscopy, are made in solution. In biology, several reactions are known that only occur in an aqueous environment. In physics, the interaction with the environment changes optical properties and affects the design of sensors and devices.