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Inverse Galois theory --- Galois, Théorie inverse de.

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This book describes various approaches to the Inverse Galois Problem, a classical unsolved problem of mathematics posed by Hilbert at the beginning of the century. It brings together ideas from group theory, algebraic geometry and number theory, topology, and analysis. Assuming only elementary algebra and complex analysis, the author develops the necessary background from topology, Riemann surface theory and number theory. The first part of the book is quite elementary, and leads up to the basic rigidity criteria for the realisation of groups as Galois groups. The second part presents more advanced topics, such as braid group action and moduli spaces for covers of the Riemann sphere, GAR- and GAL- realizations, and patching over complete valued fields. Graduate students and mathematicians from other areas (especially group theory) will find this an excellent introduction to a fascinating field.

Inverse Galois theory.

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In the second half of 1986, the Centre for Mathematical Analysis hosted a special study of inverse problems as one of its major activities for that year. As well as Australian researchers, a number of leading international experts, with a wide and varied experience with inverse problems, were invited to patcipate.

Inverse problems (Differential equations)

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Reverse osmosis (RO) is the world's leading demineralization technology. It is used to provide clean water for potable and ultrapure uses as well as to treat wastewater for recycle or reuse. Regardless of the application or industry, the basics of RO are the same. This book provides the reader with in-depth knowledge about RO basics for any application. This third edition is completely updated, still covering the basics of RO but with new insights as to how to optimize performance. Sections of the book cover the history of RO, membrane and transport model development, pretreatment to minimize membrane deposition and damage, effective cleaning and troubleshooting methods, and data collection and analysis. A new section was added that provides detail about RO and water sustainability. Alternative membrane materials and high-recovery RO are some of the topics included in this new section. Topics are presented in clear and concise language with enough depth to enhance comprehension. The reader will walk away with a new understanding of the topics covered in the book, thereby enabling them to optimize their own RO systems. Engineers and consultants will be able to design or troubleshoot RO systems more effectively. This book is the complete and definitive guide to RO for all persons concerned with RO systems.

Reverse osmosis. --- Osmose inverse.

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Inverse problems (Differential equations).