Mathematical Tools
摘要
Definitions and relevant theorems for the main chapters, covering compactness, limits, dimension, chaos, index notation, function spaces, bases, ergodicity, n-dimensional sphere and n-ball, Gateaux and Fréchet differentiation of functionals. Detailed applications of spherical coordinates in n-dimensional spaces, integration in inifinitely dimensional spaces, Gaussian measures and Lagrangean and Eulerian statistics.