Application of Symbolic Mathematics to Mathematics
نویسنده
چکیده
This paper is an account of some applications of symbolic algebra systems to mathematics. It is not a general survey of this very wide subject, but rather a small selection from my own work, a selection made so as to illustrate the main point of the paper, which is that the most important applications of symbolic algebra systems is not to compute formulas as such, but to help in formulating and testing hypothesis.
منابع مشابه
Application of G'/G-expansion method to the (2+1)-dimensional dispersive long wave equation
In this work G'/G-expansion method has been employed to solve (2+1)-dimensional dispersive long wave equation. It is shown that G'/G-expansion method, with the help of symbolic computation, provides a very effective and powerful mathematical tool, for solving this equation.
متن کاملAPPLICATION OF EXP-FUNCTION METHOD TO THE (2+1)-DIMENSIONAL CALOGERO BOGOYAVLANSKII SCHIFF EQUATION
In this paper, the Exp-function method, with the aid of a symbolic computation system such as Maple, is applied to the (2+1) -dimensional Calogero Bogoyavlanskii Schiff equation. Exact and explicit generalized solitary solutions are obtained in more general forms. The free parameters can be determined by initial or boundary conditions. The method is straightforward and concise, and its applicat...
متن کاملDesigning and Developing a Test for Cognitive Competencies of the Iranian Students’ Mathematics Literacy based on PISA Studies
Since the establishment of formal education in Iran, there has always been an emphasis on the application of mathematics in real life situation. To measure students’s competencies in applying mathematics in real life situations, there is a need to design a test with this purpose. During the current decade, PISA has been conducted in various countries to measure sudents’ competencies needed for ...
متن کاملSymbolic computation of the Duggal transform
Following the results of cite{Med}, regarding the Aluthge transform of polynomial matrices, the symbolic computation of the Duggal transform of a polynomial matrix $A$ is developed in this paper, using the polar decomposition and the singular value decomposition of $A$. Thereat, the polynomial singular value decomposition method is utilized, which is an iterative algorithm with numerical charac...
متن کاملBest Proximity Point Results for Almost Contraction and Application to Nonlinear Differential Equation
Berinde [V. Berinde, Approximating fixed points of weak contractions using the Picard iteration, Nonlinear Anal. Forum {bf 9} (2004), 43-53] introduced almost contraction mappings and proved Banach contraction principle for such mappings. The aim of this paper is to introduce the notion of multivalued almost $Theta$- contraction mappings andto prove some best proximity point results for t...
متن کاملModelling and application: A research domain in mathematics education
Abstract: The main purpose of this paper is introducing modelling and application as a research domain in mathematics education through reviewing related literature. The first purpose of this review is to give a more clear meaning of modelling and application, and base on that, makes the distinction between modelling in mathematics education & modelling in other scientific domains. There are so...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1998