Bücher von David Gottlieb

The idea for publishing these books on the mechanism of action and on the biosynthesis of antibiotics was born of frustration in our attempts to keep abreast of the literature. One concept for the books was that they include only antibiotics for which a definitive, well-documented mechanism of action or biosynthetic pathway was known.

Spectral methods are well-suited to solve problems modeled by time-dependent partial differential equations: they are fast, efficient and accurate and widely used by mathematicians and practitioners. This class-tested 2007 introduction, the first on the subject, is ideal for graduate courses, or self-study. The authors describe the basic theory of spectral methods, allowing the reader to understand the techniques through numerous examples as well as more rigorous developments. They provide a detailed treatment of methods based on Fourier expansions and orthogonal polynomials (including discussions of stability, boundary conditions, filtering, and the extension from the linear to the nonlinear situation). Computational solution techniques for integration in time are dealt with by Runge-Kutta type methods. Several chapters are devoted to material not previously covered in book form, including stability theory for polynomial methods, techniques for problems with discontinuous solutions, round-off errors and the formulation of spectral methods on general grids. These will be especially helpful for practitioners.

The idea for publishing these books on the mechanism of action and on the biosynthesis of antibiotics was born of frustration in our attempts to keep abreast of the literature. One concept for the books was that they include only antibiotics for which a definitive, well-documented mechanism of action or biosynthetic pathway was known.