Suitable for a graduate or an advanced undergraduate course on spectral geometry, this book starts from the basics but at the same time covers some of the exciting recent developments which can be explained without too many prerequisites....Loe edasi...
(Ilmumisaeg: 01-Nov-2023, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470475253)
It is remarkable that various distinct physical phenomena, such as wave propagation, heat diffusion, electron movement in quantum mechanics, oscillations of fluid in a container, can be described using the same differential operator, the Laplacian...Loe edasi...
(Ilmumisaeg: 30-Sep-2019, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470443665)
Dyatlov and Zworski provide a broad introduction to the theory of scattering resonances, which appear in many branches of mathematics, physics, and engineering. They focus on mathematical techniques for studying scattering resonances, concentrati...Loe edasi...
(Ilmumisaeg: 30-Dec-2018, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470448905)
Marchenko and Slavin explore inverse problems in the theory of small oscillations of systems with a finite number of degrees of freedom. Solving such an inverse problem requires finding the potential energy of the system using data obtained from...Loe edasi...
This volume is a collection of notes from lectures given at the 2008 Clay Mathematics Institute Summer School, held in Zurich, Switzerland. The lectures were designed for graduate students and mathematicians within five years of the Ph.D., and the m...Loe edasi...
(Ilmumisaeg: 30-Jan-2013, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9780821892114)
Berkolaiko and Kuchment (Texas A&M) examine metric graphs equipped with differential operators, scattering on vertices, the spectral structure of quantum graph Hamiltonians, spectra of periodic graphs, and the spectrum theory of quantum graphs. The l...Loe edasi...
Alex H. Barnett, Carolyn S. Gordon, Peter A. Perry, Alejandro Uribe
Sari: Proceedings of Symposia in Pure Mathematics
(Ilmumisaeg: 30-Dec-2012, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9780821853191)
Three expository lectures delivered at a July 2010 conference introduce spectral theory on hyperbolic surfaces, Riemannian orbifolds and their spectra, and semiclassical analysis. The volume also contains 13 research papers exploring semiclassical me...Loe edasi...
(Ilmumisaeg: 30-Jul-2011, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9780821852842)
Erskin (U. of California-Los Angeles) offers a text for a first graduate course in linear partial differential equations, for students who do not necessary have previous experience with partial differential equations, but have some basic knowledge of...Loe edasi...
