This book focuses on applying mathematics to bridge Bowen's reaction series of rock-forming minerals and Goldschmidt's principle of element substitution, where elements of similar size and charge replace one another in solid solution under thermodynamic principles. In dynamic geology, "dynamic" refers to changes in geological materials, such as magma, in response to these principles. Under thermodynamic conditions, magmas change from one phase to another with increasing silica content-a process called polymerization of magma. When elements of similar size and charge substitute for each other...