MATLAB symbolic algebra and calculus tools

MATLAB is a high-level language and environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach...

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Bibliographic Details
Main Author: Pérez López, César
Format: eBook
Language:English
Published: Berkeley, CA, New York, NY Apress, Distributed to the Book trade worldwide by Springer Science + Business Media 2014
Series:MATLAB solutions series
Subjects:
Online Access:
Collection: O'Reilly - Collection details see MPG.ReNa
Table of Contents:
  • MATLAB Symbolic Algebra and Calculus Tools
  • Contents at a Glance
  • Contents
  • About the Author
  • Chapter 1: Symbolic Variables and Functions
  • 1-1. Symbolic Variables
  • 1-2. Symbolic Vector Variables
  • 1-3. Symbolic Matrix Variables
  • 1-4. Character Variables
  • 1-5. Logic Functions
  • 1-6. Elementary Functions That Support Complex Symbolic Matrices as Arguments
  • 1-7. Symbolic Functions of Several Variables
  • 1-8. Functions of Single Variables
  • Chapter 2: Algebraic Expressions and Operations: Factoring Algebraic Fractions
  • 2-1. Expansion of Algebraic Expressions2-2. Factoring Expressions over Fields and their Algebraic Extensions
  • 2-3. Simplifying Algebraic Expressions
  • 2-4. Combining Algebraic Expressions
  • 2-5. Grouping of Similar Terms in Algebraic Expressions
  • 2-6. Sorting Terms in Algebraic Expressions
  • 2-7. Algebraic Fractions
  • 2-8. Transforming Algebraic Expressions by Conversion
  • 2-9. Subexpressions and Parts of Expressions
  • Chapter 3: Polynomial Divisibility, Interpolation, and Algebraic Extensions
  • 3-1. Commands for Handling Polynomial Expressions
  • 3-2. Extracting Parts of a Polynomial3-3. Factorization of Polynomials
  • 3-4. Roots of Polynomials
  • 3-5. Grouping and Ordering Terms
  • 3-6. Handling of Polynomials
  • 3-7. Divisibility and Operations with Polynomials
  • 3-8. Interpolation and Polynomial Fitting
  • 3-9. Galois Extensions
  • 3-10. GrÃœbner Bases
  • 3-11. The mod Operator: Modular Operations with Polynomials
  • Chapter 4: Symbolic Matrix Algebra
  • 4-1. Vectors and Matrices
  • 4-2. Operations with Symbolic Matrices
  • 4-3. Other Symbolic Matrix Operations
  • 4-4. Eigenvalues and Eigenvectors: Diagonalization4-5. Matrix Decomposition
  • 4-6. Similar Matrices and Diagonalization
  • 4-7. Sparse Matrices
  • 4-8. Special Numeric and Symbolic Matrices
  • Chapter 5: Equations and Systems
  • 5-1. Special Commands
  • Chapter 6: Series, Continuity, Derivatives, Integrals and Differential Equations
  • 6-1. Predefined Symbolic Functions
  • 6-2. Functions for Mathematical Analysis: Limits, Continuity and Series
  • 6-3. Derivatives, Integrals and Differential Equations