1st Edition

Mathematical Tools for Changing Scale in the Analysis of Physical Systems

256 Pages
by CRC Press

256 Pages
by CRC Press

Mathematical Tools for Changing Scale in the Analysis of Physical Systems presents a new systematic approach to changing the spatial scale of the differential equations describing science and engineering problems. It defines vectors, tensors, and differential operators in arbitrary orthogonal coordinate systems without resorting to conceptually difficult Riemmann-Christoffel tensor and... Read more
Scope and Basic Concepts
Mathematical Preliminaries
Basic Concepts for Generalized Functions
Integration Scales and Coordinate Systems
Theorem Notation
Applications of Generalized Functions
Integration Theorems
Averaging Theorems
Applications

Biography

Gray, William G.; Leijnse, Anton; Kolar, Randall L.; Blain, Cheryl A.