Remarks on a Theorem of A. Pleijel and Related Topics, II PDF Download
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Author: Agnes Ilona Benedek
Publisher:
ISBN:
Category : Dirichlet series
Languages : en
Pages : 112
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Book Description
Author: Agnes Ilona Benedek
Publisher:
ISBN:
Category : Dirichlet series
Languages : en
Pages : 112
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Book Description
Author: Agnes Benedek
Publisher:
ISBN:
Category :
Languages : en
Pages : 66
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Author: Agnes Ilona Benedek
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Rafael Panzone
Publisher:
ISBN:
Category :
Languages : en
Pages : 101
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Author: Agnes Ilona Benedek
Publisher:
ISBN:
Category :
Languages : es
Pages :
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Author: Agnes Benedek
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author:
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 158
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Author: Michael Levitin
Publisher: American Mathematical Society
ISBN: 1470475251
Category : Mathematics
Languages : en
Pages : 346
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Book Description
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.
Author: Isaac Chavel
Publisher: Academic Press
ISBN: 0080874347
Category : Mathematics
Languages : en
Pages : 379
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The basic goals of the book are: (i) to introduce the subject to those interested in discovering it, (ii) to coherently present a number of basic techniques and results, currently used in the subject, to those working in it, and (iii) to present some of the results that are attractive in their own right, and which lend themselves to a presentation not overburdened with technical machinery.
Author: Pierre H. Berard
Publisher: Springer
ISBN: 3540409580
Category : Mathematics
Languages : en
Pages : 284
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