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On the Emergence Theme of Physics
The book surveys mathematical relations between classical and quantum mechanics, gravity, time and thermodynamics from various points of view and many sources (with appropriate attribution). The emergence theme is developed with an emphasis on the meaning via mathematics. A background theme of Bohemian mechanics and connections to the quantum equivalence principle of Matone et al. is also developed in great detail. Some original work relating the quantum potential and Ricci flow is also included.
Asymptotic Analysis for Periodic Structures
This is a reprinting of a book originally published in 1978. At that time it was the first book on the subject of homogenization, which is the asymptotic analysis of partial differential equations with rapidly oscillating coefficients, and as such it sets the stage for what problems to consider and what methods to use, including probabilistic methods. At the time the book was written the use of asymptotic expansions with multiple scales was new, especially their use as a theoretical tool, combined with energy methods and the construction of test functions for analysis with weak convergence methods. Before this book, multiple scale methods were primarily used for non-linear oscillation proble...
Henderson and Sholar Lineages of Duplin County, North Carolina
William Henderson was born ca. 1775 and first appears in the records of Duplin County in 1810. William Sholar Sr. was living in Duplin County, North Carolina in 1779 and apparently died by 1783. His probable sons were William Jr., Solomon, Thomas and Levi. Descendants lived in North Carolina, Virginia, Georgia, Texas, and elsewhere.
Mathematical Reviews
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Biography and Genealogy Master Index
A consolidated index to biographical sketches in current and retrospective biographical dictionaries.
