Mathematics for Materials Science and Engineers
Introduction to Mathematica I-4
vectors, matrices, multiplication, inversion and relations to linear systems of equations
Uniqueness, Vector Spaces, Rank, Nullity, Geometry and Symmetry
Complex numbers and Operations, Euler's Formula
and Eigenvectors of Matrices, Special Matrix Forms
Real Eigenvalue System, Transformations to Eigenbasis, Stress and Strain Tensors, General transformations of Tensors
Vector products and norms, Space curves and their tangent vectors, Review of multivariable calculus
dependent scalar and gradient vector fields.
Multivariable Calculus, Arclength, Curves and Curvature, Thermodynamics, Total and Partial Derivatives, Taylor Expansions
Differential Operations on Vectors and Vector...
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