Abstract
SHS investigation development is considered from the geographical and historical viewpoint. 3 stages are described. Within Stage 1 the work was carried out in the Department of the Institute of Chemical Physics in Chernogolovka where the scientific discovery had been made. At Stage 2 the interest to SHS arose in different cities and towns of the former USSR. Within Stage 3 SHS entered the international scene. Now SHS processes and products are being studied in more than 50 countries.
Abstract
This chapter intends to be a survey on the integration of differential forms. Here, the 0−Form, 1−Form, 2−Form, 3−Form and k−Form integrals are defined. These forms are reviewed using mapping, in particular, the cases that give rise to Simple Riemann integral, Double Riemann integral, Triple Riemann Integral, and the Line and Surface integrals. The latter two are defined in (Chap. 1), using Heaviside-Gibbs algebra.
Keywords:
Double Riemann integral case, integral of 2−Form, integral of 3−Form, integration of 0−Form, integration of 1−Form, integration of k−Form, line integral, mapping a 1−Form case, mapping a 2−Form case, mapping a 3−Form case, simple Riemann integral case, surface integral, triple Riemann integral case
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Authors:Bentham Science Books