Lopez C.P. Linear Algebra with Mathematica

Cesar Lopez Perez, 2016. — 233 p. — ASIN: B01AFO8MAUMathematica is a scientific computing software widely used in the experimental sciences. This book develops Mathematica applications in the field of linear algebra. The topics are illustrated with many examples and exercises solved.The following topics are covered:
Variables And Functions
Variables
Functions Definition
Recursive Functions
Piecewise Functions
Operations With Functions
Data Types Used In The Definition Of The Functions
Numbers, Operations And Most Common Functions. Numbering Systems
Operations Arithmetic
Functions Predefined Of Integer Argument
Numbering Systems
Rational Numbers
Irrational Numbers
Complex Numbers. More Common Functions
Rounding And Approach Functions
Common Constant Used In Mathematica
Random Numbers
El Package Of Number Theory
Algebraic Expressions, Polynomials, And Interpolation
Functions Common Algebraic Operations
Polynomials
Operations Algebraic With Polynomials
Polynomial Interpolation
El Package Numericalmath 'Approximations'
Polynomial Adjustment
Equations And Systems
Resolution Of Equations
Special Commands To Solve Equations
Numerical Methods For Resolution Of Equations
Systems Of Equations
Matrix Algebra
Vectors
Operations With Vectors
Matrices
Operations With Matrices
Special Operations With Matrices
Matrix Decomposition
Range Of A Matrix
Vector Spaces And Linear Applications. Linear Systems
Linear Independence. Bases. Change Of Basis
Linear Applications
Quadratic Forms
Systems Of Linear Equations
Rouche -Frobenius Theorem
Homogeneous Systems