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...
Main Author: | |
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Format: | eBook |
Language: | English |
Published: |
Berkeley, CA, New York, NY
Apress, Distributed to the Book trade worldwide by Springer Science + Business Media
2014
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Series: | MATLAB solutions series
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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