Imaging the Cheops Pyramid

In this book Egyptian Archeology  and Mathematics meet. The author is an expert in theories and applications in Solid Mechanics and Inverse Problems, a former professor at Ecole Polytechnique and now works with Electricité de France on maintenance operations on nuclear power plants. In the Autumn o...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Bui, H.D (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Dordrecht : Springer Netherlands : Imprint: Springer, 2012.
Edición:1st ed. 2012.
Colección:Solid Mechanics and Its Applications, 182
Temas:
Engineering mathematics.
Engineering-Data processing.
Mathematical optimization.
Architecture-History.
Archaeology.
Mathematical and Computational Engineering Applications.
Optimization.
Architectural History and Theory.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction
  • Preface Marc Albouy
  • On the Cheops pyramid studies
  • Historical context of the studies
  • The mystery of the unknown Chamber
  • What we know and do not know in the pyramid
  • The Petrie sequence and the puzzle of stones
  • Herodotus or Saurenon
  • Microgravity in Geomechanics
  • A high precision balance
  • Auscultation of sites
  • The limitations of auscultation
  • Inverse problems and the butterfly effect
  • The working conditions in the Cheops operation
  • The blind test
  • Density images by microgravity
  • The second solar boat discovery
  • The measurement campaign in the pyramid site
  • Measurement results near the King's Chamber structure
  • The low mean density 2.05 T/m3 of the pyramid
  • Interstices and voids
  • Direct computation of gravity due to a cavity
  • Inversion of gravity data for finding cavities near the chambers
  • Some Mathematics of the inversion
  • Imaging the pyramid with microgravity measurements
  • Three-dimensional meshes of the pyramid
  • Results on the imaging of the surface density
  • The Densitogram
  • Raising the density
  • Virtual reconstruction of the pyramid
  • The Hölscher ramp and the steps of the construction
  • Macroscopic and microscopic points of view
  • The densitogram and the Borchardt pyramid
  • The Houdin internal ramp tunnel
  • The mystery of the King's tomb
  • Golden number and intertwined Spirals
  • Appendix
  • Filling the cornices
  • True density and mean density
  • Comparison with observations
  • Notes
  • Bibliography
  • Permissions and Acknoledgments
  • Index
  • About the Author.

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