About The Book The book comprises notes are of several varieties. Some are merely to introduce and to whet the appetite for further investigation. The author has chosen to include elementary material with definitions and derivations relevant to understanding time and space, as well as ancient civilization calendars, architecture design, and archaeological monuments. The scope of topics I believe reflects our times of an expanding knowledge universe and understanding of a complex world in a digital age of global images and communications. Several original ideas and contributions include: the calendar analysis of Mayan and Peruvian civilizations using arithmetic and algebra concepts of modulo n, as well as an insight on the term Golden phi light portion is explained. A novel application to pyramid site angles and arrangement seen best from a top view perspective is given. Altogether these notes are intended to enliven and enlighten the application of mathematical sciences describing balanced design and civilizations.
A derivation of the averaged balance equations of fluid mechanics is presented including compressibility with alternative equations of state, viscous and thermal dissipation contributions, stream tube end boundary motion, and chemical reaction. Explicit utilization of the energy equation, or enthalpy equation in combination with the linear momentum and mass balances is investigated. Both the vorticity and Bernouilli equations are provided in alternative forms with thermodynamic energy assumptions to be used in engineering analysis and to discern assumptions.
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