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Exploring the origins and evolution of magnetic fields in planets, stars and galaxies, this book gives a basic introduction to magnetohydrodynamics and surveys the observational data, with particular focus on geomagnetism and solar magnetism. Pioneering laboratory experiments that seek to replicate particular aspects of fluid dynamo action are also described. The authors provide a complete treatment of laminar dynamo theory, and of the mean-field electrodynamics that incorporates the effects of random waves and turbulence. Both dynamo theory and its counterpart, the theory of magnetic relaxation, are covered. Topological constraints associated with conservation of magnetic helicity are thoroughly explored and major challenges are addressed in areas such as fast-dynamo theory, accretion-disc dynamo theory and the theory of magnetostrophic turbulence. The book is aimed at graduate-level students in mathematics, physics, Earth sciences and astrophysics, and will be a valuable resource for researchers at all levels.
Although the origin of Earth's and other celestial bodies' magnetic fields remains unknown, we do know that the motion of electrically conducting fluids generates and maintains these fields, forming the basis of magnetohydrodynamics (MHD) and, to a larger extent, dynamo theory. Answering the need for a comprehensive, interdisciplinary introduction
Treats the origin of magnetic fields in planets, stars and galaxies, and the manner of their evolution over time.
Practical introduction for advanced undergraduate or beginning graduate students of applied mathematics, developed at the University of Oxford.
Dynamos is a collection of lectures given in July 2007 at the Les Houches Summer School on "Dynamos". - Provides a pedagogical introduction to topics in Dynamos - Addresses each topic from the basis to the most recent developments - Covers the lectures by internationally-renowned and leading experts
A pedagogical review of the mathematical modelling in fluid dynamics necessary to understand the motility of most microorganisms on Earth.
This reference encompasses the fields of Geomagnetism and Paleomagnetism in a single volume. Both sciences have applications in navigation, in the search for minerals and hydrocarbons, in dating rock sequences, and in unraveling past geologic movements such as plate motions they have contributed to a better understanding of the Earth. The book describes in fine detail the current state of knowledge and provides an up-to-date synthesis of the most basic concepts. It is an indispensable working tool not only for geophysicists and geophysics students but also for geologists, physicists, atmospheric and environmental scientists, and engineers.
Humans, over many millennia, have been intrigued with magnetism and continuously revealing its nature and association with other objects, both animate and inanimate. Started with reverence for its mystic power, the beautiful minds soon find the means to harness it. This book is an omnibus that helps one travel through time over many millennia until today while giving glimpses of human achievements in the Odyssey of human civilisation. This is a scientific essay. Nevertheless, it offers a range of flavours, such as the history of science, philosophy, social construct, the early scientific revolution, the impact of the Industrial Revolution, the growth of modern science, and discussion on scientific phenomena with no less scientific rigour, while remaining simple and intelligible. The book will be food for academic minds and a pleasant experience for general readers.
This guide to computational fluid mechanics introduces beginning graduate students to the subject's standard methods and common pitfalls.
An introduction to complex variables that caters for undergraduate students in applied mathematics, science, and engineering.