Astronomy and Planetary Sciences

Mathematical SETI

Statistics, Signal Processing, Space Missions

Authors: Maccone, Claudio

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  • The first book to include a full mathematical derivation of the Statistical Drake Equation and describe its many applications
  • Demonstrates high level mathematical techniques for the solution of a variety of SETI problems
  • Describes how use of the Karhunen-Loeve Transform leads to a dramatic improvement in SETI signal processing
  • Discusses important topics of current SETI research relating to exoplanet searches and civilizations within the Galaxy
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About this book

This book introduces the Statistical Drake Equation where, from a simple product of seven positive numbers, the Drake Equation is turned into the product of seven positive random variables. The mathematical consequences of this transformation are demonstrated and it is proven that the new random variable N for the number of communicating civilizations in the Galaxy must follow the lognormal probability distribution when the number of factors in the Drake equation is allowed to increase at will.

Mathematical SETI also studies the proposed FOCAL (Fast Outgoing Cyclopean Astronomical Lens) space mission to the nearest Sun Focal Sphere at 550 AU and describes its consequences for future interstellar precursor missions and truly interstellar missions. In addition the author shows how SETI signal processing may be dramatically improved by use of the Karhunen-Loève Transform (KLT) rather than Fast Fourier Transform (FFT). Finally, he describes the efforts made to persuade the United Nations to make the central part of the Moon Far Side a UN-protected zone, in order to preserve the unique radio-noise-free environment for future scientific use.

Table of contents (30 chapters)

Table of contents (30 chapters)
  • The statistical Drake equation

    Pages 3-72

    Maccone, Dr. Claudio

  • Letting Maxima do the calculations

    Pages 73-109

    Maccone, Dr. Claudio

  • How many planets for man and aliens?

    Pages 111-129

    Maccone, Dr. Claudio

  • Statistical Fermi paradox and Galactic travels

    Pages 131-144

    Maccone, Dr. Claudio

  • How long does a civilization live?

    Pages 145-153

    Maccone, Dr. Claudio

Buy this book

eBook n/a
  • ISBN 978-3-642-27437-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
Hardcover n/a
  • ISBN 978-3-642-27436-7
  • with online files
  • Free shipping for individuals worldwide
Softcover n/a
  • ISBN 978-3-662-50609-7
  • Free shipping for individuals worldwide
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical SETI
Book Subtitle
Statistics, Signal Processing, Space Missions
Authors
Series Title
Astronomy and Planetary Sciences
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-27437-4
DOI
10.1007/978-3-642-27437-4
Hardcover ISBN
978-3-642-27436-7
Softcover ISBN
978-3-662-50609-7
Series ISSN
2366-0082
Edition Number
1
Number of Pages
LII, 724
Number of Illustrations
60 b/w illustrations, 49 illustrations in colour
Additional Information
Jointly published with Praxis Publishing, UK
Topics