Titlebook: Mathematical Analysis II; Vladimir A. Zorich Textbook 2016Latest edition Springer-Verlag Berlin Heidelberg 2016 calculus.differential equa

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*Integration of Differential Forms on Manifolds, derive the contemporary version of the Newton–Leibniz formula, called the general Stokes formula. It incorporates all fundamental classical integral formulas of analysis (Newton–Leibniz, Green, Gauss–Ostrogradskii, and Stokes formulas).

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Uniform Convergence and the Basic Operations of Analysis on Series and Families of Functions,series, one of the most important technical tools of analysis. We consider different types of convergence of sequences and series of functions, and discuss conditions under which certain useful properties of functions persist after passing to a limit.

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Integrals Depending on a Parameter,. In this chapter we will study and describe the general properties of integrals depending on a parameter. In particular, we introduce Eulerian integrals and present some basic ideas of generalized functions.

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Vladimir A. Zorichning and recall performance, and 2) ‘strength of learning’ on the networks’ ability to relearn, or transfer prior learning after aging. In the first experiment dendritic attrition was simulated by random connection pruning and the extent of pruning was progressively increased to simulate aging. In t

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Vladimir A. Zorichning and recall performance, and 2) ‘strength of learning’ on the networks’ ability to relearn, or transfer prior learning after aging. In the first experiment dendritic attrition was simulated by random connection pruning and the extent of pruning was progressively increased to simulate aging. In t