Book description
MATLAB is a highlevel 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 builtin math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or traditional programming languages, such as C/C++ or Java.
MATLAB Symbolic Algebra and Calculus Tools introduces you to the MATLAB language with practical handson instructions and results, allowing you to quickly achieve your goals. Starting with a look at symbolic variables and functions, you will learn how to solve equations in MATLAB, both symbolically and numerically, and how to simplify the results. Extensive coverage of polynomial solutions, inequalities and systems of equations are covered in detail. You will see how MATLAB incorporates vector, matrix and character variables, and functions thereof. MATLAB is a powerful symbolic manipulator which enables you to factorize, expand and simplify complex algebraic expressions over all common fields (including over finite fields and algebraic field extensions of the rational numbers). With MATLAB you can also work with ease in matrix algebra, making use of commands which allow you to find eigenvalues, eigenvectors, determinants, norms and various matrix decompositions, among many other features. Lastly, you will see how you can use MATLAB to explore mathematical analysis, finding limits of sequences and functions, sums of series, integrals, derivatives and solving differential equation.
Table of contents
 Cover
 Title
 Copyright
 Contents at a Glance
 Contents
 About the Author
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 Chapter 1: Symbolic Variables and Functions

Chapter 2: Algebraic Expressions and Operations: Factoring Algebraic Fractions
 21. Expansion of Algebraic Expressions
 22. Factoring Expressions over Fields and their Algebraic Extensions
 23. Simplifying Algebraic Expressions
 24. Combining Algebraic Expressions
 25. Grouping of Similar Terms in Algebraic Expressions
 26. Sorting Terms in Algebraic Expressions
 27. Algebraic Fractions
 28. Transforming Algebraic Expressions by Conversion
 29. Subexpressions and Parts of Expressions

Chapter 3: Polynomial Divisibility, Interpolation, and Algebraic Extensions
 31. Commands for Handling Polynomial Expressions
 32. Extracting Parts of a Polynomial
 33. Factorization of Polynomials
 34. Roots of Polynomials
 35. Grouping and Ordering Terms
 36. Handling of Polynomials
 37. Divisibility and Operations with Polynomials
 38. Interpolation and Polynomial Fitting
 39. Galois Extensions
 310. Gröbner Bases
 311. The mod Operator: Modular Operations with Polynomials
 Chapter 4: Symbolic Matrix Algebra
 Chapter 5: Equations and Systems
 Chapter 6: Series, Continuity, Derivatives, Integrals and Differential Equations
Product information
 Title: MATLAB Symbolic Algebra and Calculus Tools
 Author(s):
 Release date: December 2014
 Publisher(s): Apress
 ISBN: 9781484203439
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