Mathematics : Applied

Complex dynamics constitute a growing and increasingly important area as they offer a strong potential to explain and formalize natural, physical, financial and economic phenomena. This book pursues the goal to bring together a body of knowledge regarding complex dynamics from various academic disciplines. more...

Price: $239.00

The first contemporary introduction to topological K-theory. Self-contained: no background in algebraic topology is necessary. more...

Price: $60.00

The book provides a survey of numerical methods for acoustics, namely the finite element method (FEM) and the boundary element method (BEM). In particular, the FEM is often used for interior problems whereas BEM is quite popular for exterior problems. This book shows that both methods can be effectively used for many other cases, FEM even for open domains and BEM for closed ones. Emphasis of the book is put on numerical aspects and on treatment of the exterior problem in acoustics, i.e. noise radiation. Numerical aspects cover the use of different types of elements, discussing the rule of using a fixed number of elements per wavelength and iterative solution techniques for the arising system of equations. Fast boundary element techniques and multi-domain BEM are discussed in this context too. Exterior problems in the context of finite elements will survey different techniques of treatment such as infinite elements, absorbing boundary conditions and perfectly matched layers. Further, the fields of frequency-range solutions by Lanczos via Pade approximation and modal solutions are covered. In the context of BEM, the so-called irregular frequencies are considered. This is followed by considering sound propagation above an impedance plane, formulation of spectral elements, a method for treatment of thin radiators and radiation modes. Both chapters conclude with sections on fluid-structure interaction, on inverse problems and on energy methods, respectively. Finally, the book discusses future challenges in the field of numerical methods in acoustics. more...

Price: $169.00

Covers a diverse variety of computer-based techniques, involving some aspect of computational intelligence (CI). This collection proposes some practical and novel ways in which different CI techniques can be combined with each other, or with more traditional computational techniques, to produce problem-solving environments. more...

Price: $269.00

In the past few decades, many significant insights have been gained into several areas of computational methods in sciences and engineering. New problems and methodologies have appeared in some areas of sciences and engineering. There is always a need in these fields for the advancement of information exchange. The aim of this book is to facilitate the sharing of ideas, problems and methodologies between computational scientists and engineers in several disciplines. Extended abstracts of papers on the recent advances regarding computational methods in sciences and engineering are provided. The book briefly describes new methods in numerical analysis, computational mathematics, computational and theoretical physics, computational and theoretical chemistry, computational biology, computational mechanics, computational engineering, computational medicine, high performance computing, etc. more...

Price: $221.00