Ravi P. Agarwal agarwal tamuk. Beginning almost a century ago, with the fixed-point theorem Banach that proved in his thesis, fixed point theory is a common cornerstone of applied mathematics, functional analysis, and topology. The result of Banach is an abstraction of the method of successive approximation that was used the solve certain differential equations by eminent mathematicians, such as Liouville and Picard and so on. In order words, the metric fixed-point theory is applicable to real-world problems. Indeed, the metric fixed-point theory has been efficiently used not only in various branches of mathematics, but also in almost all qualitative sciences, such as economics, theoretical computer science, biology, chemistry, and physics engineering.
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Locke’s Moral Philosophy (Stanford Encyclopedia of Philosophy)
Locke’s Moral Philosophy
We explore the evolution of the aggregate size distribution in systems where aggregates grow by diffusive accretion of mass. Supersaturation is controlled in such a way that the overall aggregate volume grows linearly in time. Classical Ostwald ripening, which is recovered in the limit of vanishing overall growth, constitutes an unstable solution of the dynamics.
Steve Abbott, Chair Warner Hall Jennifer Nuceder, Coordinator Warner Hall These are ideas that various faculty members have suggested for thesis topics over the years. The list is by no means exhaustive.