SYMBOLIC COMPUTATION TECHNIQUES
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Date
2012
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Publisher
Suleyman Demirel University
Abstract
This paper presents a brief overview of symbolic computation and introduces two widely used computer algebra systems: Maple and Maxima. The study outlines their basic characteristics, development background, programming languages, licensing models, and main functional capabilities. Several illustrative examples are provided to demonstrate symbolic integration, simplification of algebraic expressions, graphical visualization, differential equation solving, and contour plotting. The paper emphasizes that symbolic computation systems are able to produce exact and general solutions, which makes them especially valuable in mathematical analysis, education, and scientific research. At the same time, certain limitations of symbolic computation methods are discussed, including high computational cost and difficulties in solving complex problems such as higher-degree polynomials and complicated systems of differential equations. In such cases, numerical computation methods are suggested as an effective alternative. The paper concludes that Maple and Maxima remain powerful and complementary tools in the field of symbolic and mathematical computation.
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Keywords
symbolic computation, computer algebra systems, symbolic integration, differential equations, mathematical software, visualization
Citation
Niyazi Ari / SYMBOLIC COMPUTATION TECHNIQUES / Suleyman Demirel University/ СДУ хабаршысы, 12(1).