This book aims to bridge the gap between practising mathematicians and the practitioners of turbulence theory. It presents the mathematical theory of turbulence to engineers and physicists, and the physical theory of turbulence to mathematicians. The book is the result of many years of research by the authors to analyse turbulence using Sobolev spaces and functional analysis. In this way the authors have recovered parts of the conventional theory of turbulence, deriving rigorously from the Navier-Stokes equations what had been arrived at earlier by phenomenological arguments. The mathematical technicalities are kept to a minimum within the book, enabling the language to be at a level understood by a broad audience. Each chapter is accompanied by appendices giving full details of the mathematical proofs and subtleties. This unique presentation should ensure a volume of interest to mathematicians, engineers and physicists.

This book presents the mathematical theory of turbulence to engineers and physicists, and the physical theory of turbulence to mathematicians. It is the result of many years of research by the authors to analyze turbulence using Sobolev spaces and functional analysis. In this way the authors have recovered parts of the conventional theory of turbulence, deriving rigorously from the Navier-Stokes equations that had been arrived at earlier by phenomenological arguments. Appendices give full details of the mathematical proofs and subtleties.

Conversations About Group Concept Mapping: Applications, Examples, and Enhancements takes a concise, practice-based approach to group concept mapping. After defining the method, demonstrating how to design a project, and providing guidelines to analyze the results, this book then dives into real research exemplars. Conversations with the researchers are based on in depth interviews that connected method, practice and results. The conversations are from a wide variety of research settings, that include mapping the needs of at-risk African American youth, creating dialogue within a local business community, considering learning needs in the 21st century, and identifying the best ways to support teens receiving Supplemental Social Security Income. The authors reflect on the commonalities between the cases and draw out insights into the overall group concept mapping method from each case.

With the new era of 8-10 m telescopes the power to spectroscopically examine the light of fainter and more distant targets has taken a 'photon' leap. It is now becoming routinely possible to obtain high signal-to-noise spectra of very distant objects and to attempt the determination of their abundances. The motivation for a workshop on this topic could be summarized thus: Do we understand enough about chemical abundances at zero redshift to trust any conclusions on chem- ical evolution at high redshift? Given our observational background in gaseous nebulae, we thought at first in terms of a workshop largcly devoted to the inter- stellar medium. However, we were encouraged by Jacqueline Bergeron and Alvio Renzini to pitch the theme much wider. The members of the Scientific Organiz- ing Committee (Francoise Combes, Don Garnett, Guinevere Kauffmann, Claus Leitherer, Danny Lennon, Max Pettini, Peter Shaver, Elena Terlevich and David Tytler), under the chair of John Mathis, made sure that we kept the conference broad in scope. We thank them for their encouragement and advice. Informally the working title for the conference thus became "High and low Z from low to high z" (or Z@O