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This book tells a story of an encounter between Archaeology and Applied Mathematics. The author was an engineer at Electricite de France (EDF), a former Assistant Professor at Ecole Polytechnique. He is currently a researcher at EDF, Ecole Polytechnique and ENSTA, an expert in theories and applications in Solid Mechanics & Inverse Problems, He worked with Electricite de France a long time on maintenance operations on nuclear power plants, so far. In autumn 1986, after the end of the operation on King's chamber conducted under the Technological and Scientific Sponsorship of EDF to locate a cavity, he was called to solve a mathematical inverse problem, to find the unknown tomb of the King and the density structure of the whole pyramid based on measurements of microgravity made inside and outside of the pyramid. This book recounts various search operations on the pyramid of Cheops made at the request of the Egyptian and French authorities in 1986-1987. After the premature end of the Cheops operation in autumn 1986, following the fiasco of unsuccessful drillings in the area suspected by architects G. Dormion and J.P.Goidin, EDF and CPGF (a geophysical company) teams continued researches with measurements already made, trying this time an inversion of the Newton gravity equation for the entire pyramid with another theoretical team led by the author. The inverse problem solution confirmed the results of auscultation, but found no cavity. However, image of the average density at the surface of the entire pyramid forms a sort of square "spiral" probably related to the construction method. In 2000, Jean-Pierre Houdin considered the author's results of 1988 as a confirmation of his theory of the internal ramp tunnel. Since then the author has done additional research and found that some classical theories of the construction based on degrees and the particular mode of stones filling can also report the same densitogram. The book is richly illustrated with coloured figures. It is dotted with scores of Physics, Mechanics and the History of Egyptian Antiquities. The book ends with the greatest mystery of the pyramid about the unknown tomb of the King and a dream to see the tomb at an unexpected place. less
