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Fractal Geometry and Number Theory

Complex Dimensions of Fractal Strings and Zeros of Zeta Functions

Michel L. Lapidus Machiel van Frankenhuysen

$126.95   $101.37

Hardback

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English
Birkhauser Boston
10 December 1999
Number theory and fractal geometry are combined in this study of the vibrations of fractal strings. The book centres around a notion of complex dimension, originally developed for the proof of the Prime Number Theorem, and extended here to apply to the zeta functions associated with fractals.
By:   ,
Imprint:   Birkhauser Boston
Country of Publication:   Germany
Edition:   1999 ed.
Dimensions:   Height: 235mm,  Width: 155mm,  Spine: 17mm
Weight:   1.270kg
ISBN:   9780817640989
ISBN 10:   0817640983
Pages:   268
Publication Date:  
Audience:   College/higher education ,  Professional and scholarly ,  Further / Higher Education ,  Undergraduate
Replaced By:   9780817632090
Format:   Hardback
Publisher's Status:   Active

Reviews for Fractal Geometry and Number Theory: Complex Dimensions of Fractal Strings and Zeros of Zeta Functions

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)


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