A unique, comprehensive look at the topics arising in studying periodic media, for researchers in mathematics, physics and material science.
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Peter Kuchment is the Arthur George and Mary Emolene Owen Chair and Distinguished Professor at Texas A & M University. His research interests include partial differential equations, mathematical physics, geometric analysis, inverse problems, tomography and medical imaging, material science, and math education. He is the author of the books `Floquet Theory for Partial Differential Operators' (1993), `Introduction to Quantum Graphs' (2013), 'The Radon Transform and Medical Imaging' (2014) and 'Liouville-Riemann-Roch Theorems on Abelian Coverings' (2021).
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Hardcover. Zustand: new. Hardcover. The study of periodic partial differential equations has experienced significant growth in recent decades, driven by emerging applications in fields such as photonic crystals, metamaterials, fluid dynamics, carbon nanostructures, and topological insulators. This book provides a uniquely comprehensive overview for mathematicians, physicists, and material scientists engaged in the analysis and construction of periodic media. It describes all the mathematical objects, tools, problems, and techniques involved. Topics covered are central for areas such as spectral theory of PDEs, homogenization, condensed matter physics and optics. Although it is not a textbook, some basic proofs, background material, and references to an extensive bibliography providing pointers to the wider literature are included to allow graduate students to access the content. Providing a uniquely comprehensive resource for researchers in mathematics, physics, and material science, this book describes the main mathematical objects, problems, tools, and techniques arising in in the last few decades in the booming area of periodic (natural or manufactured) materials, including crystallin materials and photonic crystals. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verkäufers 9781009282420
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Hardback. Zustand: New. The study of periodic partial differential equations has experienced significant growth in recent decades, driven by emerging applications in fields such as photonic crystals, metamaterials, fluid dynamics, carbon nanostructures, and topological insulators. This book provides a uniquely comprehensive overview for mathematicians, physicists, and material scientists engaged in the analysis and construction of periodic media. It describes all the mathematical objects, tools, problems, and techniques involved. Topics covered are central for areas such as spectral theory of PDEs, homogenization, condensed matter physics and optics. Although it is not a textbook, some basic proofs, background material, and references to an extensive bibliography providing pointers to the wider literature are included to allow graduate students to access the content. Bestandsnummer des Verkäufers LU-9781009282420
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