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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.
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Topics in Spectral Geometry (eng)
Editore:
American Mathematical Society, 2023
ISBN 10: 1470475480
ISBN 13: 9781470475482
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Topics in Spectral Geometry
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ISBN 13: 9781470475482
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ISBN 13: 9781470475482
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Topics in Spectral Geometry
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American Mathematical Society, US, 2023
ISBN 10: 1470475480
ISBN 13: 9781470475482
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Paperback. Condizione: New. 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. Spectral data (i.e., eigenvalues and eigenfunctions) of the Laplacian depend in a subtle way on the geometry of the underlying object, e.g., a Euclidean domain or a Riemannian manifold, on which the operator is defined. This dependence, or, rather, the interplay between the geometry and the spectrum, is the main subject of spectral geometry. Its roots can be traced to Ernst Chladni's experiments with vibrating plates, Lord Rayleigh's theory of sound, and Mark Kac's celebrated question ``Can one hear the shape of a drum?'' In the second half of the twentieth century spectral geometry emerged as a separate branch of geometric analysis. Nowadays it is a rapidly developing area of mathematics, with close connections to other fields, such as differential geometry, mathematical physics, partial differential equations, number theory, dynamical systems, and numerical analysis. This book can be used for a graduate or an advanced undergraduate course on spectral geometry, starting from the basics but at the same time covering some of the exciting recent developments which can be explained without too many prerequisites. Codice articolo LU-9781470475482
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Topics in Spectral Geometry (Graduate Studies in Mathematics)
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American Mathematical Society, 2023
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ISBN 13: 9781470475482
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Paperback. Condizione: Brand New. 325 pages. 7.00x0.75x9.75 inches. In Stock. Codice articolo __1470475480
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Topics in Spectral Geometry (Paperback)
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American Mathematical Society, Providence, 2023
ISBN 10: 1470475480
ISBN 13: 9781470475482
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Paperback. Condizione: new. Paperback. 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. Spectral data (i.e., eigenvalues and eigenfunctions) of the Laplacian depend in a subtle way on the geometry of the underlying object, e.g., a Euclidean domain or a Riemannian manifold, on which the operator is defined. This dependence, or, rather, the interplay between the geometry and the spectrum, is the main subject of spectral geometry. Its roots can be traced to Ernst Chladni's experiments with vibrating plates, Lord Rayleigh's theory of sound, and Mark Kac's celebrated question ``Can one hear the shape of a drum?'' In the second half of the twentieth century spectral geometry emerged as a separate branch of geometric analysis. Nowadays it is a rapidly developing area of mathematics, with close connections to other fields, such as differential geometry, mathematical physics, partial differential equations, number theory, dynamical systems, and numerical analysis. This book can be used for a graduate or an advanced undergraduate course on spectral geometry, starting from the basics but at the same time covering some of the exciting recent developments which can be explained without too many prerequisites. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9781470475482
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Topics In Spectral Geometry
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American Mathematical Society, 2023
ISBN 10: 1470475480
ISBN 13: 9781470475482
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Topics In Spectral Geometry
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American Mathematical Society, 2023
ISBN 10: 1470475480
ISBN 13: 9781470475482
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Topics in Spectral Geometry
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American Mathematical Society, 2023
ISBN 10: 1470475480
ISBN 13: 9781470475482
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