This book describes modern techniques for reducing the level of airborne noise through the introduction of sound radiated by additional secondary sources, bringing together the results of contemporary research in this area. It is the combination of the physical properties of sound fields and modern digital signal processing technology that has made the active control of sound a practical proposition in a number of important applications. The book covers both these aspects of the subject, initially at a fundamental level, and then in detail in later chapters. The structure of the book is such that it should be suitable for both those seeking a basic understanding of the subject and as a reference for researchers in the field. One of the key features of the work is thus the unified presentation of material from the two disciplines of acoustics and signal processing.

The subject of geomathematics focuses on the interpretation and classification of data from geoscientific and satellite sources, reducing information to a comprehensible form and allowing the testing of concepts. Sphere oriented mathematics plays an important part in this study and this book provides the necessary foundation for graduate students and researchers interested in any of the diverse topics of constructive approximation in this area. This book bridges the existing gap between monographs on special functions of mathematical physics and constructive approximation in Euclidean spaces. The primary objective is to provide readers with an understanding of aspects of approximation by spherical harmonics, such as spherical splines and wavelets, as well as indicating future directions of research. Scalar, vectorial, and tensorial methods are each considered in turn. The concentration on spherical splines and wavelets allows a double simplification; not only is the number of independent variables reduced resulting in a lower dimensional problem, but also radial basis function techniques become applicable. When applied to geomathematics this leads to new structures and methods by which sophisticated measurements and observations can be handled more efficiently, thus reducing time and costs.

Dalton's theory of the atom is generally considered to be what made the atom a scientifically fruitful concept in chemistry. To be sure, by Dalton's time the atom had already had a two-millenium history as a philosophical idea, and corpuscular thought had long been viable in natural philosophy (that is, in what we would today call physics).
Atoms in Chemistry will examine episodes in the evolution of the concept of the atom, particularly in chemistry, from Dalton's day to our own. It begins with an overview of scientific atomic theories from the 17th through 20th centuries that analyzes corpuscular theories of matter proposed or entertained by natural philosophers in the 17th century. Chapters will focus on philosophical and religious conceptions of matter, 19th-century organic structural theories, the debate surrounding the truth of the atomic-molecular theory, and physical evidence accumulated in the late 19th and early 20th centuries that suggested that atoms were actually real, even if they were not exactly as Dalton envisioned them. The final chapter of this book takes the reader beyond the atom itself to some of the places associated with the history of scientific atomism. As a whole, this volume will serve as a passport to important episodes from the more than 200-year history of atoms in chemistry.

This book presents the SPH method (Smoothed-Particle Hydrodynamics) for fluid modelling from a theoretical and applied viewpoint. It comprises two parts that refer to each other. The first one, dealing with the fundamentals of Hydraulics, is based on the elementary principles of Lagrangian and Hamiltonian Mechanics. The specific laws governing a system of macroscopic particles are built, before large systems involving dissipative processes are explained. The continua are discussed, and a fairly exhaustive account of turbulence is given. The second part discloses the bases of the SPH Lagrangian numerical method from the continuous equations, as well as from discrete variational principles, setting out the method's specific properties of conservativity and invariance. Various numerical schemes are compared, permanently referring to the physics as dealt with in the first part. Applications to schematic instances are discussed, and, ultimately, practical applications to the dimensioning of coastal and fluvial structures are considered.
Despite the rapid growth in the SPH field, this book is the first to present the method in a comprehensive way for fluids. It should serve as a rigorous introduction to SPH and a reference for fundamental mathematical fluid dynamics. This book is intended for scientists, doctoral students, teachers, and engineers, who want to enjoy a rather unified approach to the theoretical bases of Hydraulics or who want to improve their skills using the SPH method. It will inspire the reader with a feeling of unity, answering many questions without any detrimental formalism.