Thursday, 17 December 2020

Mathematics 6

 


Mathematics 6, one of the branches of mathematics that deals with spatial relations, and what can be formed from the connection of space points to give what are called geometric shapes.

 

In the beginning, mathematics was only two branches: the study of numbers and geometry, but the subsequent developments of mathematics witnessed the emergence of multiple branches, the most important of which was algebra due to the process of overlapping geometry with algebra (the process of calculating geometry and geometry algebra according to Rushdie Rashid's terms is the most important contribution of Arab Muslim scholars in the development of mathematics).

 

People distinguish space with some basic criteria, or so-called axioms, that establish geometry. Such axioms need no proof but can be used in conjunction with mathematical definitions of points, straight lines, arcs, surfaces, and spaces to arrive at logical conclusions.

 

Mathematics 6

And mathematical geometry is called the science of staples because it studies geometry in its various dimensions.

 

Modern mathematics has witnessed a tremendous expansion in the sciences of mathematics, and geometry has branched into several branches, some of which deal with non-Euclidean spaces.

 

Geometry is defined as a branch of mathematics concerned with studying the bodies, sizes, and positions of geometric shapes, trying to find mathematical relationships between their elements, and this is called geometry.

 

These shapes include flat shapes such as triangles, rectangles, and solid shapes (three-dimensional such as cubes and balls).

 

Engineering is also the art of utilizing scientific principles and principles in building, organizing, and evaluating things, which is known as applied or practical engineering, which is synonymous with the word engineering, as it is the use of mathematical engineering and physical knowledge to find solutions and applications in different branches of science and practical life.

 

Among the branches of applied engineering, architecture, mechanical engineering, and agricultural engineering.

 

Geometry has reached high levels of abstraction and complexity and has become a field of application for modern branches of mathematics such as arithmetic and abstract algebra.

 

Therefore, we find it difficult to distinguish between the branches of mathematics today, unlike what was the case in the early days of mathematical research.

 

What is the relationship of mathematics to geometry?

  • Analytical engineering is concerned with the study of most mathematical sciences and physical applications, as well as helped in the study of space and its properties, and is considered an introduction to the study of differential and algebraic geometry.
  • Differential geometry is the study of geometric shapes, especially curves and surfaces.
  • Plane geometry studies shapes that have two dimensions only, that is, those that have length and width.
  • Structural geometry studies geometry in three dimensions that deal with spaces such as rectangular prisms and cylindrical shapes.

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