The main branches of mathematics are algebra, number theory, geometry and arithmetic. Based on these branches, other branches have been discovered. Before the advent of the modern age, the study of mathematics was very limited. But over a period of time, mathematics has been developed as a vast and diverse topic. Development in Maths continues making large contributions to the field of technology. Hence, it is better termed as the Queen of Science. Show From the early number system to the modern research areas of computational sciences and probability, a number of new areas have evolved with the base of mathematics. With the expansion of the scope and usage of the subject, there is a corresponding need to classify different branches of mathematics. What are the Branches of Mathematics?Mathematics can be broadly grouped into the following branches:
There are some other branches of mathematics that you would deal with in the higher classes.
List of branches of MathsPure Mathematics: Applied Mathematics
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The main branches of pure mathematics are:
Mathematics in higher classes involves the following types:
Calculus is one of the branches of mathematics which deals with the study of continuous change. Calculus mainly deals with the concepts of limits, derivatives and integrals of various functions. Geometry is the branch of mathematics that deals with flat shapes, solid geometry, dimensional space, and properties of flat shapes and solid shapes. This science began with a foundation of practical knowledge about areas, lengths, and volumes. Then, in ancient Greece, the first hypotheses that included Euclid's postulates began to be formulated. The axioms allowed for a mathematical definition of different basic geometric figures: curves, planes, lines, and points. Plane geometry deals with representing three-dimensional elements in a plane with different techniques such as projective geometry. What Are the Essential Components of Geometric Shapes?The most essential elements are flat shapes which can be represented in a piece of paper because they are bi-dimensional objects. They are composed of points, lines, angles, and surfaces. Depending on the type of shape, line segments can be straight lines in the case of polygons or curved. Examples of Geometry in Everyday LifeGeometric figures appear in many aspects of everyday life. Here are some examples:
Uses and Applications of GeometryThe study of this branch of mathematics has multiple applications. Here are some examples: Astronomy and Solar EnergyIn astronomy, geometry has been widely used to describe the trajectory of the planets of the solar system. In the field of solar energy, geometry and astronomy play a fundamental role in calculating solar hours, the angle of incidence of solar radiation on the earth's surface, etc. ArtMathematics, forms, and art have always been closely related. The concepts of proportions have been the inspiration for many artists over time. The particular golden ratio, for example, has played an important role in artistic works. Another example has been the construction of mosaics that have been carried out in different historical periods. ArchitectureArchitecture works with this branch of science in many uses. They include:
Some figures, such as triangles and rectangles, are vital in structural design. PhysicsIt is used to calculate lengths, areas of flat geometric figures, and volumes in physics. In many applications, trigonometric ratios, the Pythagorean theorem, etc., are used. Evolution of Geometry in HistoryThe ancient Greeks who were particularly interested in constructing geometric elements of space were already known. The compass and a ruler without a scale were the classic instruments to study geometric figures. In this way, the lengths and areas of the figures could be represented with numerical values. However, these means do not solve all the problems presented due to their difficulty. Algebraic GeometryRené Descartes reintroduced numbers in the form of coordinates. He realized that their algebraic representation could make the study of geometric shapes could be easier by their algebraic representation. Analytic geometry is the branch of geometry that applies algebraic methods to geometric questions, typically relating geometric curves and algebraic equations. Differential geometry is the study of geometry using the tools of mathematical analysis and multilinear algebra. The objects of study in this field are the manifolds, which generalize the notion of surface in Euclidean space and the diverse uses between them. Non-euclidean GeometryIn the more than two thousand years since the Greek mathematician Euclid, the basic understanding of spatial problems has remained essentially unchanged. Gauss, Bolyai, and Lobachevsky showed that ordinary Euclidean space is only one of the possible bases for the development of the study of forms. Subsequently, Bernhard Riemann expressed a broad view of this new geometry type. Riemann's new ideas about space proved crucial in developing Einstein's general theory of relativity and Riemann's geometry. Author: Oriol Planas - Industrial Technical Engineer, specialty in mechanics Published: February 28, 2022 |