Applied Advanced Calculus in Dynamic Geology: Applying PDEs, Calculus, and Power Series to Cooling Magma within Thermodynamic Principles

Chemical reactions in magma are highly complex due to multiple anionic and cationic substitutions involving minerals of different sizes. Complex problems require complex solutions; in this case, the Cauchy-Riemann equations are applied to address issues related to rock-forming minerals in both active and inactive magma. The Cauchy-Riemann conditions must be satisfied at each point Z-Z_0 in every domain of magma M, where Z-Z_0 represents a point with variables x and y in the Z-plane of magma R. Here, Z is defined as a function of two independent variables, x and y, such that Z=f(x,y). Thus, Z is the dependent variable determined by each pair of values of x and y. In the complex plane of magma R, each domain M represents a point of nucleation, with Z=Z_0 expressed as the function f(x,y).

Pagina's: 260, Paperback, LAP LAMBERT Academic Publishing