Fractal Geometry and Number Theory
Complex Dimensions of Fractal Strings and Zeros of Zeta Functions
Authors: Lapidus, Michel, van Frankenhuysen, Machiel
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- Reviews
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"This highly original self-contained book will appeal to geometers, fractalists, mathematical physicists and number theorists, as well as to graduate students in these fields and others interested in gaining insight into these rich areas either for its own sake or with a view to applications. They will find it a stimulating guide, well written in a clear and pleasant style."
–Mathematical Reviews (Review of First Edition)
"It is the reviewer’s opinion that the authors have succeeded in showing that the complex dimensions provide a very natural and unifying mathematical framework for investigating the oscillations in the geometry and the spectrum of a fractal string. The book is well written. The exposition is self-contained, intelligent and well paced."
–Bulletin of the London Mathematical Society (Review of First Edition)
"The new approach and results on the important problems illuminated in this work will appeal to researchers and graduate students in number theory, fractal geometry, dynamical systems, spectral geometry, and mathematical physics."
–Simulation News Europe (Review of First Edition)
- Table of contents (11 chapters)
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Introduction
Pages 1-6
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Complex Dimensions of Ordinary Fractal Strings
Pages 7-22
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Complex Dimensions of Self-Similar Fractal Strings
Pages 23-54
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Generalized Fractal Strings Viewed as Measures
Pages 55-70
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Explicit Formulas for Generalized Fractal Strings
Pages 71-109
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Table of contents (11 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Fractal Geometry and Number Theory
- Book Subtitle
- Complex Dimensions of Fractal Strings and Zeros of Zeta Functions
- Authors
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- Michel Lapidus
- Machiel van Frankenhuysen
- Copyright
- 2000
- Publisher
- Birkhäuser Basel
- Copyright Holder
- Birkhäuser Boston
- eBook ISBN
- 978-1-4612-5314-3
- DOI
- 10.1007/978-1-4612-5314-3
- Hardcover ISBN
- 978-0-8176-4098-9
- Softcover ISBN
- 978-1-4612-5316-7
- Edition Number
- 1
- Number of Pages
- XII, 268
- Topics
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