This collection of papers presents ideas and problems arising over the past 100 years regarding classical and quantum gravity, gauge theories of gravity, and spacetime transformations of accelerated frames. Both Einstein''s theory of gravity and the YangOCoMills theory are gauge invariant. The invariance principles in physics have transcended both kinetic and dynamic properties and are at the very heart of our understanding of the physical world. In this spirit, this book attempts to survey the development of various formulations for gravitational and YangOCoMills fields and spacetime transformations of accelerated frames, and to reveal their associated problems and limitations. The aim is to present some of the leading ideas and problems discussed by physicists and mathematicians. We highlight three aspects: formulations of gravity as a YangOCoMills field, first discussed by Utiyama; problems of gravitational theory, discussed by Feynman, Dyson and others; spacetime properties and the physics of fields and particles in accelerated frames of reference. These unfulfilled aspects of Einstein and YangOCoMills'' profound thoughts present a great challenge to physicists and mathematicians in the 21st century."

In recent years, global metallurgical industries have experienced fast and prosperous growth. High-temperature metallurgical technology is the backbone to support the technical, environmental, and economical needs for this growth. This collection features contributions covering the advancements and developments of new high-temperature metallurgical technologies and their applications to the areas of processing of minerals; extraction of metals; preparation of refractory and ceramic materials; sintering and synthesis of fine particles; treatment and recycling of slag and wastes; and saving of energy and protection of environment. The volume will have a broad impact on the academics and professionals serving the metallurgical industries around the world.

Groundwater is essential to life and to maintaining Earth's water cycle. In the face of growing threats to this invaluable resource, recent advances in research and analysis - notably in numerical simulation and data processing with computers - are bringing rapid changes in dynamic methodology for groundwater management and modeling. This book contains the latest updates from the field of groundwater science and engineering, organized around five major topics: Optimization of groundwater resources in basins, Groundwater pollution and remediation technologies, Underground development and groundwater technologies, Interaction between surface and subsurface water, and Reliability of numerical methods and scaling in geohydraulics. This collection of more than 80 papers by leading specialists provides a valuable source of information for researchers, engineers, and students in the field of groundwater resources and management.

"The Markagunt and Sevier gravity slides are gigantic landslides that resulted from gravitationally induced catastrophic failure of the southern flank of the Oligocene to Miocene Marysvale volcanic field. Each is nearly 100 km long with runouts over the former land surface >35 km; together they span 7000 km2 and rank among Earth's largest terrestrial landslides. Basal cataclastic layers, injectites, pseudotachylyte, deformed clasts, and a variety of kinematic indicators demonstrate catastrophic emplacement, which was preceded by slow gravitational spreading of the volcanic field. This volume offers a history of their discovery, our current understanding of the gravity slides, and a guide to particularly instructive exposures for which the authors document their conclusions about the size, age, and significant structural features of these newly discovered features"--

This volume provides a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory. It gives special emphasis to group extensions, including a detailed discussion of the Euclidean group, the oscillator group, the Bott-Virasoro group and other groups of matrices. The volume also provides ample background theory on symplectic reduction and cotangent bundle reduction.

A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

The Euclidean approach to Quantum Gravity was initiated almost 15 years ago in an attempt to understand the difficulties raised by the spacetime singularities of classical general relativity which arise in the gravitational collapse of stars to form black holes and the entire universe in the Big Bang. An important motivation was to develop an approach capable of dealing with the nonlinear, non-perturbative aspects of quantum gravity due to topologically non-trivial spacetimes. There are important links with a Riemannian geometry. Since its inception the theory has been applied to a number of important physical problems including the thermodynamic properties of black holes, quantum cosmology and the problem of the cosmological constant. It is currently at the centre of a great deal of interest.This is a collection of survey lectures and reprints of some important lectures on the Euclidean approach to quantum gravity in which one expresses the Feynman path integral as a sum over Riemannian metrics. As well as papers on the basic formalism there are sections on Black Holes, Quantum Cosmology, Wormholes and Gravitational Instantons.

An up-to-date textbook of solar physics is presented. The solar structure and processes, and the interior are described along with the photosphere, the chromosphere, and the corona. The strongest Fraunhofer lines, visible coronal lines, and coronal UV, XUV, and X-ray lines are listed.