Fractal Geometry and Number Theory

Complex Dimensions of Fractal Strings and Zeros of Zeta Functions

Authors: Lapidus, Michel, van Frankenhuysen, Machiel

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-1-4612-5314-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.00
price for USA
  • ISBN 978-0-8176-4098-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.00
price for USA
  • ISBN 978-1-4612-5316-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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)

 

 


Table of contents (11 chapters)

  • Introduction

    Lapidus, Michel L. (et al.)

    Pages 1-6

  • Complex Dimensions of Ordinary Fractal Strings

    Lapidus, Michel L. (et al.)

    Pages 7-22

  • Complex Dimensions of Self-Similar Fractal Strings

    Lapidus, Michel L. (et al.)

    Pages 23-54

  • Generalized Fractal Strings Viewed as Measures

    Lapidus, Michel L. (et al.)

    Pages 55-70

  • Explicit Formulas for Generalized Fractal Strings

    Lapidus, Michel L. (et al.)

    Pages 71-109

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-1-4612-5314-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.00
price for USA
  • ISBN 978-0-8176-4098-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.00
price for USA
  • ISBN 978-1-4612-5316-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Fractal Geometry and Number Theory
Book Subtitle
Complex Dimensions of Fractal Strings and Zeros of Zeta Functions
Authors
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