Journal of Applied & Computational Mathematics

This article presents and develops one of Isaac Newton's most significant discoveries and traces its application in computer graphics and 3D modelling. Newton was the first scientist to introduce the concept of limit, which is used in modern mathematical analysis and differential geometry. Newton's theory was further developed in this study. A new boundary method is presented, which finds application in geometry, physics, and computer graphics. Using the new approach, it is possible to draw a regular polygon. Subsequently, it can be used to construct more complex geometric objects, such as prism and pyramids. Based on the primitives: triangle, quadrilateral, cube, circle, sphere, cylinder (prism), cone, etc., arbitrary 3D models can be constructed. This article presents new authors mathematical software called StereoMV, which enables the export of 3D stereometry objects in files with the extension .obj. The generated 3D objects can be imported into a 3D modelling program like Blender. On their basis, using a variety of techniques, arbitrary and more complex models other than those of stereometry can be recreated. Thanks to the new method, it is possible to use a 3D library and, from there, visualization through virtual reality systems. This is the most significant contribution of the proposed boundary method. With the traditional programming approach using trigonometry, this is a difficult task to make it. The application of this innovative way of modelling can be added to a wide variety of projects, such as a 3D serious extreme game involved in the analysis of cardiac data.

The problem of free convection boundary layer flow of nanofluids over a non-linear stretching sheet in the presence of a magnetic field parameter and a suction parameter is investigated numerically. The underlying non-linear partial differential equations with associated boundary conditions are solved numerically using the spectral relaxation method. Present results agree with the previously published work in the absence of magnetic field, thermal radiation and suction. The physics of the problem is well explored for the embedded material parameters through tables and graphs. The effects of various physical parameters are analyzed in details. It is found that thermal radiation greatly effects the velocity and temperature distributions in the boundary layer.

Mathematics word problems play a crucial role in developing students' problem-solving skills and understanding of mathematical concepts. However, the effectiveness of these problems depends significantly on the design of the questions posed. This essay explores the profound influence of question design on students' sense-making in mathematics word problems, emphasizing the importance of well-crafted questions in fostering a deeper understanding of mathematical concepts. One of the key aspects of question design is clarity. Clear and concise wording is essential to ensure that students comprehend the problem accurately. Ambiguous or convoluted language can lead to confusion, hindering students' ability to make sense of the mathematical concepts embedded in the problem. Therefore, educators must pay meticulous attention to the language used in formulating questions, striving for clarity to enhance students' understanding.

The integration of science and mathematics has garnered increased attention in education as educators and researchers recognize the potential for synergistic learning experiences. Combining these two disciplines offers a holistic approach that mirrors the interconnected nature of real-world problem-solving and fosters a deeper understanding of both subjects. This essay explores a theoretical model for the integration of science and mathematics, emphasizing the benefits, challenges, and practical strategies for implementing this approach to promote comprehensive learning. The theoretical foundation of integrating science and mathematics lies in recognizing the inherent interdisciplinarity of these subjects. Mathematics serves as the language of science, providing tools for analysis, modeling, and problem-solving. Conversely, science offers rich contexts for applying mathematical concepts, creating a symbiotic relationship that enhances students' abilities to make connections and understand the broader implications of their learning.

Functional Analysis, a branch of mathematics that explores spaces of functions and their properties, stands as a captivating and profound field with a rich tapestry of theorems and problems. The intricacies of functional analysis delve into the abstract nature of spaces, transformations, and infinitedimensional structures. This essay aims to delve into the beauty and complexity of the theorems and problems in functional analysis, shedding light on the foundational concepts, mathematical elegance, and real-world applications that make this field both challenging and intellectually rewarding. At the core of functional analysis lies the concept of spaces, particularly metric spaces and normed spaces. These foundational structures provide the basis for understanding the convergence and continuity of functions. The definition of metrics and norms offers a rigorous framework for studying the properties of functions and their behaviour in various contexts.

The Convection-Dispersion Equation (CDE) stands as a fundamental mathematical framework extensively utilized in various fields, including fluid dynamics, environmental engineering, and hydrogeology. It describes the transport of solutes in fluid media, considering both advective flow and dispersive processes. This essay delves into the mathematical solutions of the CDE, exploring analytical, numerical, and experimental methodologies. Through this exploration, we aim to gain a comprehensive understanding of the equation's behaviour and its implications in practical applications, The convection-dispersion equation also known as the advection-diffusion equation, is a partial differential equation governing the transport of solutes in a moving fluid. It arises in a myriad of disciplines, ranging from contaminant transport in groundwater to drug dispersion in biological systems. The equation encapsulates both advective and dispersive processes, making it a powerful tool for modelling real-world phenomena.