Items related to Analysis on Fractals: 143 (Cambridge Tracts in Mathematics,...
Synopsis
This book covers analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals, such as heat diffusion on fractals and the vibration of a material with fractal structure. The book provides a self-contained introduction to the subject, starting from the basic geometry of self-similar sets and going on to discuss recent results, including the properties of eigenvalues and eigenfunctions of the Laplacians, and the asymptotical behaviors of heat kernels on self-similar sets. Requiring only a basic knowledge of advanced analysis, general topology and measure theory, this book will be of value to graduate students and researchers in analysis and probability theory. It will also be useful as a supplementary text for graduate courses covering fractals.
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Review
'... the most recent introduction to the analysis of 'Laplacians' on what physicists call finitely ramified self-similar fractals.' Volker Metz, Zentralblatt MATH
'Anyone with a background in the analysis of linear field equations, with an interest in heterogeneous media, or who is looking to breathe new life into their research, should read this book.' A. J. Mulholland, Proceedings of the Edinburgh Mathematical Society
'This book is an introduction to the subject written by one of the active researchers in the area. It is recommended to those who would like to go from the basics to current research topics.' Acta. Sci. Math.
Book Description
A self-contained introduction to analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals. Suitable for graduate students and researchers in analysis and probability theory. Also useful as a supplementary text for graduate courses covering fractals, for both mathematicians and physicists.
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date2008
- ISBN 10 0521057116
- ISBN 13 9780521057110
- BindingPaperback
- LanguageEnglish
- Number of pages236
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Analysis on Fractals (Cambridge Tracts in Mathematics)
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Analysis on Fractals (Cambridge Tracts in Mathematics, Series Number 143)
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Analysis on Fractals
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Analysis on Fractals
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Analysis on Fractals (Paperback)
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ISBN 13: 9780521057110
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Paperback. Condition: new. Paperback. This book covers analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals, such as heat diffusion on fractals and the vibration of a material with fractal structure. The book provides a self-contained introduction to the subject, starting from the basic geometry of self-similar sets and going on to discuss recent results, including the properties of eigenvalues and eigenfunctions of the Laplacians, and the asymptotical behaviors of heat kernels on self-similar sets. Requiring only a basic knowledge of advanced analysis, general topology and measure theory, this book will be of value to graduate students and researchers in analysis and probability theory. It will also be useful as a supplementary text for graduate courses covering fractals. This book covers analysis on fractals, a developing area of mathematics that focuses on the dynamical aspects of fractals, such as heat diffusion on fractals and the vibration of a material with fractal structure. The book provides a self-contained introduction to the subject, starting from the basic geometry of self-similar sets and going on to discuss recent results, including the properties of eigenvalues and eigenfunctions of the Laplacians, and the asymptotical behaviors of heat kernels on self-similar sets. Requiring only a basic knowledge of advanced analysis, general topology and measure theory, this book will be of value to graduate students and researchers in analysis and probability theory. It will also be useful as a supplementary text for graduate courses covering fractals. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521057110
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Analysis on Fractals
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Analysis on Fractals
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Analysis on Fractals
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Analysis on Fractals
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. A self-contained introduction to analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals. Suitable for graduate students and researchers in analysis and probability theory. Also useful as a supplementary tex. Seller Inventory # 446923411
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