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This book is an introduction to the mathematical analysis of p- and hp-finite elements applied to elliptic problems in solid and fluid mechanics. The aim of this book is to establish the
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This textbook for graduate students introduces integrable systems through the study of Riemann surfaces, loop groups, and twistors. Topics include Korteweg-de Vries and nonlinear Schr"odinger equations, the inverse scattering transform, algebraic curves,
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This new and much expanded edition of a well-received book remains the only text available on the subject of symmetric functions and Hall polynomials. There are new sections in almost every chapter,
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This text represents the proceedings of the Fourth International Congress on Industrial and Applied Mathematics, which took place in Edinburgh in 1999. The book includes talks from the 30 plenary speakers who
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William Burnside was one of the three most important algebraists who were involved in the transformation of group theory from its nineteenth-century origins to a deep twentieth-century subject. Building on work of
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This book is a guided tour of geometry, from Euclid through to algebraic geometry. It shows how mathematicians use a variety of techniques to tackle problems, and it links geometry to other
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There are more than ten thousand particle accelerators in the world from the linear accelerators used for cancer therapy in modern hospitals to the giant 'atom-smashers' at international particle physics laboratories used
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Synchrotron radiation sources are now used routinely by thousands of research scientists and engineers throughout the world to perform experiments in biology, physics, materials science, chemistry and so on. The very best
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The four-colour theorem is one of the famous problems of mathematics, that frustrated generations of mathematicians from its birth in 1852 to its solution (using substantial assistance from electronic computers) in 1976.
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Ordinary foams such as the head of a glass of beer and more exotic ones such as solid metallic foams raise many questions for the physicist and have attracted a substantial research
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There are many types of infinite-dimensional groups, most of which have been studied separately from each other since the 1950's. It is now possible to fit these apparently disparate groups into one
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This text examines degree theory and some of its applications in analysis. Topics described include: degree theory for continuous functions; the multiplication theorem; Hopf's theorem; Brower's fixed point theorem; odd mappings; and
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Accompanied by instructive illustrations throughout, the text covers all aspects of cryogenics including, a historical perspective, basic physics, construction techniques, thermometry, materials data, references and data sources, and information on commercial suppliers.
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