By Susumu Ikeda, Motoko Kotani
This ebook is the 1st quantity of the SpringerBriefs within the arithmetic of fabrics and offers a complete advisor to the interplay of arithmetic with fabrics technology. The anterior a part of the ebook describes a specific background of fabrics technological know-how in addition to the interplay among arithmetic and fabrics in heritage. The emergence of fabrics technology used to be itself due to the an interdisciplinary circulate within the Nineteen Fifties and Nineteen Sixties. fabrics technology used to be shaped through the combination of metallurgy, polymer technological know-how, ceramics, stable kingdom physics, and comparable disciplines. We think that such old historical past is helping readers to appreciate the significance of interdisciplinary interplay corresponding to mathematics–materials technology collaboration.
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Additional info for A New Direction in Mathematics for Materials Science (SpringerBriefs in the Mathematics of Materials)
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Thouless, M. Kohmoto, M. Nightingale, and M. den Nijs [TKNN] shed further light on the IQHE from a geometrical viewpoint and introduced a topological invariant ν, now called the TKNN number, corresponding to the Chern number of the U (1) bundle over the magnetic Brillouin zone. As a consequence of this topological invariant, special edge states at the interface between two materials with different topological invariants are expected. These states were first identified by Bertrand I. Halperin [Hal] in 1982.
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