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This graduate textbook provides a self-contained introduction to modern mathematical theory on fractional differential equations. It addresses both ordinary and partial differential equations with a focus on detailed solution theory, especially regularity theory under realistic assumptions on the problem data. The text includes an extensive bibliography, application-driven modeling, extensive exercises, and graphic illustrations throughout to complement its comprehensive presentation of the field. It is recommended for graduate students and researchers in applied and computational mathematics, particularly applied analysis, numerical analysis and inverse problems.
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As readers of classic Russian literature know, the nineteenth century was a time of pervasive financial anxiety. With incomes erratic and banks inadequate, Russians of all social castes were deeply enmeshed in networks of credit and debt. The necessity of borrowing and lending shaped perceptions of material and moral worth, as well as notions of social respectability and personal responsibility. Credit and debt were defining features of imperial Russia’s culture of property ownership. Sergei Antonov recreates this vanished world of borrowers, bankrupts, lenders, and loan sharks in imperial Russia from the reign of Nicholas I to the period of great social and political reforms of the 1860s....
A comprehensive study of the process by which certain martyrs of the early church were transformed into military heroes.
This study analyzes the ordinary functioning of the Soviet system from Stalin's death through the Soviet collapse and Russia's first post-Soviet decade. Without overlooking the USSR's repressive character, the author treats it as a "normal" system that employed socialist and nationalist ideologies.