References

References#

This bibliography provides the academic and historical foundations for the metrological systems and mathematical logic implemented in MesoMath.

General Metrology & History#

  • Powell, M. A. (1987-1990). “Masse und Gewichte”. Reallexikon der Assyriologie und Vorderasiatischen Archäologie, Vol. 7, pp. 457–517. Berlin: De Gruyter.

Note: This is the primary source for the conversion factors used in Blen, Bsur, Bvol, Bcap, and Bwei.

  • Robson, E. (2008). Mathematics in Ancient Iraq: A Social History. Princeton University Press.

Note: Essential for understanding the social context of the S and G systems used in BsyS and BsyG.

  • Proust, C (2009) Numerical and Metrological Graphemes: From Cuneiform to Transliteration Cuneiform Digital Library Journal, 2009, 1

Note: Source of the use of systems C, S and G in Babylonian metrology and the transliteraion used in this soft

  • Chambon, G. (2011). Normes et pratiques: L’unité de mesure de capacité à Mari. Berlin: De Gruyter.

Mathematics & Computation#

  • Neugebauer, O., & Sachs, A. (1945). Mathematical Cuneiform Texts. American Oriental Society.

Note: Validation for the area and volume algorithms in Bsur and Bvol.

  • Robson, E. (1999). Mesopotamian Mathematics, 2100-1600 BC: Technical Constants in Bureaucracy and Education. Oxford University Press.

  • Friberg, J. (2007). A Remarkable Collection of Babylonian Mathematical Texts. New York: Springer.

Note: Foundational for sexagesimal reciprocal logic and the BabN class.

  • Høyrup, J. (2002). Lengths, Areas, Grids: A Survey of Old Babylonian Mathematics and its Ontological Evolution. New York: Springer.

Administration & Economy#

  • Englund, R. K. (1990). Organisation und Verwaltung der Ur III-Fischerei. Berlin: Berliner Beiträge zum Vorderen Orient.

Note: Source for the logic behind rations() and labor management.

  • Proust, C. (2007). Tablettes mathématiques de Nippur. Istanbul: IFEA-De Boccard.

Note: Inspiration for the metrological tables generated by metrolist().

Architecture & Construction#

  • Sauvage, M. (1998). La brique et sa mise en œuvre en Mésopotamie. Paris: Éditions Recherche sur les Civilisations.

Note: Primary source for the technical constants (nalbanum) used in the Bbri class.

  • Robson, E. (1999). Mesopotamian Mathematics, 2100-1600 BC: Technical Constants in Bureaucracy and Education. Oxford: Clarendon Press.

Late Babylonian Period Metrology#

  • Proust, C. (2019). A mathematical collection found in the “House of the āšipus”. In Scholars and Scholarship in Late Babylonian Uruk, eds. Proust and Steele: 89-146. Springer.

Astronomy and Chronology#

  • Parker, R. and Dubberstein, W. (1971). Babylonian Chronology: 626 B.C.–A.D. 75 (2nd Edition). Providence: Brown University Press.

Note: Primary source for the chronological database used by mesotimes.

  • Goldstein, B. R. (2003) Ancient and Medieval Values for the Mean Synodic Month. Journal for the History of Astronomy, 34, 65 - 74

  • Meeus, J. (1998). Astronomical Algorithms (2nd Edition). Richmond: Willmann-Bell.

Note: Implementation baseline for planetary orbital mechanics, coordinates, and horizontal visibility systems.

  • Espenak, F. and Meeus, J. (2009). Five Millennium Canon of Eclipses: -1999 to +3000 (2000 BCE to 3000 CE). NASA Technical Publication TP-2009-214174. NASA Goddard Space Flight Center.

Note: Core authority for the delta_t (\(\Delta T\)) polynomial regressions and terrestrial rotation uncertainty matrices used in long-term retro-calculations.

  • Arribas, J. L. (2020). PyMeeus: Astronomical Algorithms in Python. Python Software Foundation. Available at: https://github.com/leasw/pymeeus

Note: Python implementation of Meeus’ algorithms used as a validation layer for specific internal ephemeris loops.

Stellar Visibility#

  • Schoch, C. (1924). The Arcus Visionis of the Planets in Babylonian Astronomy. Monthly Notices of the Royal Astronomical Society, 84(9), 731–734.

Note: Traditional geometric baseline for Babylonian stellar and planetary visibility calculations.

  • Schaefer, B. E. (1993). Astronomy and the Limiting Magnitude of the Naked Eye. Publications of the Astronomical Society of the Pacific, 105(688), 651–661.

Note: Fundamental paper for the 1D ramp model and human visual contrast threshold equations against sky brightness.

  • Schaefer, B. E. (2000). The Heliacal Rise of Sirius and Ancient Chronology. Journal for the History of Astronomy, 31(2), 149–155.

Note: Direct application of atmospheric extinction and scattering models to the specific historical problem of the rising of Sirius.

  • Garstang, R. H. (1989). Night-sky Brightness at Observatories and Sites. Publications of the Astronomical Society of the Pacific, 101, 306–329.

Note: Mathematical foundation for the 3D visibility framework, containing Rayleigh and aerosol scattering phase functions.

  • Pickering, K. A. (2002). The Southern Limits of the Ancient Star Catalog and the Commentary of Hipparchos. DIO, 12, 3–27.

Note: Reference study for ancient star catalog boundaries and historical stellar visibility constraints.

  • Kasten, F. and Young, A. T. (1989). Revised optical air mass tables and approximation formula. Applied Optics, 28(22), 4735–4738.

Note: Reference formulation for atmospheric optical air mass calculations at low horizons and high zenith angles.