The computer algebra system is a package that is used for manipulation of mathematical formulas. It automates the difficult algebraic computations. Computer algebraic system has the ability to deal with given expressions symbolically rather than numerically. The uses of this very system vary from one system to another system. Computer algebra system facilitates graphical representation of expression when graphs are required. It also provides a programming language to define the usersâ€™ own procedure.
Computer algebra system is an advanced tool to solve an expression symbolically and a flexible tool for mathematics used worldwide. As the examples stated above, this system can also be used to simplify rational function, polynomials and many other manipulations.
Consider the expression (x-100)1000 when the binomial theorem is used and solve it, it is a very long task. Similarly, when we use a software like Maple, Mathcad, Mathematica, or other software of computer algebra system, it takes less than two seconds to solve such expression and generate a solution. This acts as a very important time saving tool. All the mathematical equations can be solved by computer algebra system.
Computer algebra system has also increased the understanding of calculus, not only in giving perfect solution, but also graphically identifying the relevant graphs. Calculus was developed as an algorithmic process, but with computer algebra system studying calculus has turned even simpler with algebraic operation.
Symbolic Computing Of Mathematical Expression
The computer algebra system is an advanced tool to solve an expression symbolically and a flexible tool for mathematics used worldwide. Computer algebra system, solves and manipulates mathematical expression in an analytical form. The computer algebra system supports a range of mathematics (like linear algebra, calculus, including ordinary equations).
Working with equations analytically
Computer algebra system is used to represent the parameters and variables in an equation as symbols which have been stated. Computer algebraic system can deal with given expressions symbolically rather than numerically.
. The parameters of an equation changes by substituting the numerical values.
Evaluating mathematical expressions
Computer algebra system has an advanced approach to problem solving, with good algorithms and techniques to solve the problem. Matlab is a software that supports symbolic and numeric approach. We can improve the performance and accuracy in optimization by using Computer algebra system while solving, manipulating, and evaluating mathematical expressions.
Achieving accuracy with exact mathematics
While solving the problems numerically is inevitable that we donâ€™t face any errors, bound to face any floating point errors and many other basic human errors, but while solving the problem symbolically the problem is carried out in precision and the solution achieved is also error free. For example, the answer for
symbolically. This solution can be further solved by using variable precision air thematic, this increases accuracy.
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