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Asymptotic Distribution of Eigenvalues of Partial Differential Operators (Translations of Mathematical Monographs) - Softcover
Inhaltsangabe
As the subject of extensive research for over a century, spectral asymptotics for partial differential operators attracted the attention of many outstanding mathematicians and physicists. This book studies the eigenvalues of elliptic linear boundary value problems and has as its main content a collection of asymptotic formulas describing the distribution of eigenvalues with high sequential numbers. Asymptotic formulas are used to illustrate standard eigenvalue problems of mechanics and mathematical physics. The volume provides a basic introduction to all the necessary mathematical concepts and tools, such as microlocal analysis, billiards, symplectic geometry and Tauberian theorems. It is self-contained and would be suitable as a graduate text.
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As the subject of extensive research over a century, spectral asymptotics for partial differential operators attracted the attention of many outstanding mathematicians and physicists. This book studies the eigenvalues of elliptic linear boundary value problems and has as its main content a collection of asymptotic formulas describing the distribution of eigenvalues with high sequential numbers. Asymptotic formulas are used to illustrate standards eigenvalue problems of mechanics and mathematical physics. The volumes provides a basic introduction to all the necessary mathematical concepts and tools, such as microlocal analysis, billiards, symplectic geometry and Tauberian theorems. It is self-contained and would be suitable as a graduate text.
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The Asymptotic Distribution of Eigenvalues of Partial Differential Operators (Translations of Mathematical Monographs, 155)
Verlag:
American Mathematical Society, 1996
ISBN 10: 0821809210
ISBN 13: 9780821809211
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The Asymptotic Distribution of Eigenvalues of Partial Differential Operators
Verlag:
American Mathematical Society, 1996
ISBN 10: 0821809210
ISBN 13: 9780821809211
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Paperback. Zustand: Brand New. 354 pages. 9.80x6.90x0.80 inches. In Stock. Bestandsnummer des Verkäufers 0821809210
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