Tag Archives: Mathematics

What are the best Programming Languages for Mathematics?

Mathematics is a part of theoretical science that deals with number, space, quality or other abstract concepts. Mathematics deals with counting, measurement, calculation along with methodical study of shapes and sizes. In solving mathematical numerical, various hindrances are faced while formulating the results.

Thus, scientist and the programmers have researched and developed various programming languages for solving mathematical numerical more appropriately. They have also attempted to make the process of solving the mathematical numerical intriguing.

Therefore, it is important to acquire proper information on the best programming languages for mathematics. They are as follows: MATLAB programming

The Matrix Laboratory (MATLAB) is a fourth-generation programming language that is used for numerical purpose of computation. It was primitively written in order to provide convenient access to the matrix was developed by LINPACK and EISPACK projects. They are the representatives of the state-of-the-art in software for computation of matrix. Developed by Math Work, this programming integrates visualization, integration along with an easy to use environment. This easy to use environment includes the process of expressing problems and solutions in mathematical notation.

The authentic uses of MATLAB are the following:

  • Engineering and scientific graphics
  • Development of algorithm
  • Prototyping, modelling and simulation
  • Visualization, data analysis, and explorationIn MATLAB, the variables are represented in the form of array those are used for indexing. A matrix is a part of linear algebra that is represented in a two-dimensional array. In MATLAB workspace the variables are either created or imported from other programs or data files. This program also allows the plotting of 2-d and 3-d graphics functions to envisage results.  The functionality of MATLAB can be expanded by the addition of toolboxes that improvise the functionality. It is a high-level array language or matrix, which comprises of flow statements, structures, data; object-oriented programming features along with input and outputs. It is also an immense assemblage of computational algorithms, which ranges from complex arthimatics to trigonometric functions like sine, cos, tan, etc.

    GNU Octave
    The GNU Octave is an improved level software programming language that is framed to solve numeric computation. This programming is used in solving the linear and nonlinear numerical. This is one of the languages that are compatible with MATLAB and thus allows performing various numerical experiments. This is free software since it is under the terms of the GNU General Public License. Furthermore, this mathematical programming language can be utilised in the updated version of Windows, BSD, Mac operating system, Linux and others. This programming might also have prevalence as a batch-oriented language.


The GNU Octave can be used to perform elementary calculations like arithmetic operation, exponential, a trigonometric function and others. This is also used to create matrix and vectors. For example, Octave uses space or comma to spate the entries, and if the command is ended with a semicolon, it operates Octave not to derive the result but rather move to the next row for further calculation. This programming language is used to solve complex differential equations, integration and other high-level mathematics. It is to be noted that, the current version of Octave helps in the execution of graphical user interface (GUI). It hosts Integrated Development Environment (IDE), which comprises of a code editor, along with syntax highl;ighting. It also contains an inbuilt debugger, browser for documentation.
Sage Math
The System for Algebra and Geometry experimentation (SAGE) math is the primary software that is used to solve numerical related to algebra, calculus, combinatorics and others. The first version of this mathematical programming was developed under the terms of the GNU General Public License. Their initial goal was to create an open source alternative to programmes like MATLAB, Mathematica, Maple and Magma.  The programming uses a syntax that is similar to PYTHON programming those are used to support functional, procedural and object-oriented mathematical constructs. This programming language is easily compatible with Google Chrome, Firefox, opera and others that make it easy for the programmer to run the program feasible. The features of Sage Math include visualisation of graph theory and analysis tool, a huge library with mathematical functions related to theory functions and many others. This programming uses the help of a toolkit to add user interfaces those are related to application and calculations.

The central data type of APL programming involves a multi-dimensional array, and it helps to concise the coding process by using a large number of graphic symbols and representation. This programming influences the development of functional programming, variable concept establishment regarding numerical, spreadsheet and others. One of the strongest features of APL is that they can execute any generalised array data without complicating the programming process. The APL programming has operators those help to improve the applied functions giving the programmer the opportunity to build numerical blocks that can collaborate easily. Thus, the flexibility to handle complicated numerical data makes the use of APL programming for solving mathematics a unique programming language. It also facilitates the representation of most operators and functions, which leads to very brief code. Moreover, this has an improved influence on the establishment of functional programming, concept modelling and computer maths packages.

Wolfram Mathematica
This software is a symbolic mathematical computation programming that is most often termed as computer algebra system.  This programming is used in scientific research, calculating engineering mathematics along with computation in other fields. This programming language is supportive for computation of data related to arithmetic, complex numerical, interval arithmetic along with symbolic computation. Further, the program can generate 2-D and 3-D mesh and supports the censored data, time series, temporal data and others. The real value of this programming lies in its multi-domain standard library that helps to execute various mathematical applications with ease efficiently.

Thus, by using the help of these programming languages, the mathematical operations can be efficiently executed by those keen towards learning mathematics.

11 Apps for Key Stage 1 & 2 Maths

Mathematics is a subject which demands a lot of practice.  The increment of accuracy and proficiency in the subject of Mathematics ultimately depends upon the factors of consistent and continuous practice by the students, and with greater measure and intensity of practice, the associated accuracy also gets enhanced. As we all know practice makes things perfect,  Mathematics is also not an exception to it.

Though many of the students only believe that  Math is a subject with lots of rules and practices, still with the help of the  Mathematics learning apps it is only complete fun! Learning with fun can never be a burden for the students as such online applications contribute in making the learner feel free to learn the subject with contention.

Key stages of One and Two Mathematics include the basic Mathematical teaching strategies to practice the subject without any consternation. These key apps are implementable for the students who belong to the classes such as standard  One and Two. These particular applications are meant to bolster the capabilities of the students of such primary standards to have the necessary assistance through digital intervention and visual exposure, regarding learning the Mathematical intricacies for the first time in an appropriate and consummate manner. These Mathematical apps are based on the objective to make the students well versed about the national curriculum which allocated to the students belonging from the mentioned standard.

The sharing of information with the students and making them aware of such curriculum provide the initial stepping stone for the students on which they can progress further regarding the learning of Mathematics, and it also instils a sense of confidence among the students. Not only the students but also the teachers get benefited from the highly interactive Mathematical practices.

The reason behind such as supposition could be understood from the fact that even the teachers could come to recognise the availability of such applications as instruments of assistance which they suppose they have found as an outstanding way to engage their students regarding the importation of a lesson.

The most familiar apps to the students as well as to the teachers are as the following:

Operation Math: It is an outstanding student engaging application which is helpful for the students as well as the provide the necessary measure of understanding to the students concerning the four basic operations that every Mathematical study necessitates.

Math operations include addition, subtraction, multiplication and division. In this attractive and effective learning game students have a mission to obtain a predetermined level of success.

Dr Odd is a character in this game and the students should help Dr Odd by finalising a timed mission which includes three various levels.

Along with this, the game contains a training mode too by the help of which the students can practice the problems which are provided to them to enhance their skills. Both the Android and iOS versions are available for the game with a very lower amount of subscription charge.

This game based learning procedure of the application has become the prime example of a design of the interactive, comprehensive yet enjoyable learning process that could be provided to the student in a manner that could be acceptable and interesting for the early learners to undertake.

Division apps:  The application provides the hint of its utility as its name depicts.  The division application is a comprehensive guide for the students to understand the operation of the division of Mathematics. The basic functions which are associated with the division techniques, for example, divisions with reminders as well as long divisions with answers in the decimal values, are included as the functions of this application.

A wide variety of graphically attractive and interactive sessions included in the topic which makes the students capable of improving their numeric skills. The application is completely available for the students and their parents at Androids and iTunes.

Dragon box elements: It is the application that deals with the fundamentals, factors, theories and shapes of Geometry along with the Geometric problems with the Euclidian proofs. By the help of this application, students can develop a deep understanding of the logic and the rules of which govern the subject of Geometry.

Squeebles Multiplication: This app enables the student to practice the multiplication tasks associated in any form of complication in six different modes. For instance, tricky tables, which enriched with the factual questions,  are helping to improve the skills of the learners.

Multiplication tables: These tables are some of the most useful instruments regarding the impartation of knowledge relating to the task of Multiplication which is considered to be one of the most critical tasks where the students and learners of early childhood become inept due to misconceptions and erroneous practices.

By nature, the children find such tasks related to Multiplication of large numbers to be cumbersome, detecting and difficult. In this respect the cartoonish appearances associated with such application are appreciated very much by the children and therefore could be perfectly applicable for the younger kids; however, this is also a fun app you can at least have a try.

10 monkey multiplications: This form of a game is an instrument in itself, but having a premium version. However, one can easily avail the features which are entirely accessible in this game with other features associated with this app which could seem to be enjoyable to the entire host of learners and are free by themselves.

Splash math third grade: It is a free app, which always provides the ideas about each concept associated with the subject of Mathematics. If you are not right according to your calculation, the apps will itself tell you the correct answer. This has a particular benefit which assists a child in determining the flaws and the capabilities that the comprehensive power of that specific child could have. The existence of the automated corrective process is the primary reason that parents could prefer this form of application for teaching their children about Mathematics.

Tic tac math: It is not a problem-solving approach; rather it is a process of learning through joy method which becomes of great fun to the learners. You have to pick the Mathematical operations you want to practice which depicted as accurate digits of numbers.

Math vs Zombies: In this application, you are saving a Zombie by solving various types of Mathematical problems. The calculative complications can include various operational aspects such as addition, subtraction, division and multiplication.

Factor Samurai: This is an Android app which can be useful in solving the complications of the Mathematical challenge for a child who does not have any idea of the mathematical operations.

Pet bingo: It is a maths app with three levels of difficulty. You can choose several types of Mathematical operations strategies at the time of usage. Answers will appear on the bingo board. At the time of using you can become a fan of this cute app.

These are the few examples that the students, as well as their teachers and their parents, can follow. However, these are not all the options you can try; there are other options too. So be ready, and set your journey to explore math. Good luck!