Overview
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Table of contents (11 chapters)
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Front Matter
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Back Matter
Keywords
Reviews
"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)
Authors and Affiliations
Bibliographic Information
Book Title: Fractal Geometry and Number Theory
Book Subtitle: Complex Dimensions of Fractal Strings and Zeros of Zeta Functions
Authors: Michel L. Lapidus, Machiel Frankenhuysen
DOI: https://doi.org/10.1007/978-1-4612-5314-3
Publisher: Birkhäuser Boston, MA
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eBook Packages: Springer Book Archive
Copyright Information: Birkhäuser Boston 2000
Hardcover ISBN: 978-0-8176-4098-9Published: 10 December 1999
Softcover ISBN: 978-1-4612-5316-7Published: 13 June 2012
eBook ISBN: 978-1-4612-5314-3Published: 01 December 2013
Edition Number: 1
Number of Pages: XII, 268
Topics: Number Theory, Algebraic Geometry, Differential Geometry