Difference between academic and applied mathematics

Introduction

Mathematics is a very important discipline in education and in everyday life. However, there are two very different branches in this discipline: academic mathematics and applied mathematics. This article will explain the difference between the two.

Academic mathematics

Academic mathematics focuses on the theoretical and abstract study of mathematical concepts. These concepts are often complex and abstract and, in most cases, have no immediate practical application in everyday life.

Academic mathematics is mainly studied in the academic field, with the aim of deepening the understanding of mathematical concepts and theorems. Rigorous proof methods are used to prove mathematical propositions and theorems.

Applied mathematics

Applied mathematics, on the other hand, focuses on the application of mathematical concepts to real or everyday problems. That is, mathematical theories and concepts are used to solve problems practical.

For example, statistics is a branch of applied mathematics that is responsible for the analysis and interpretation of data collected in different areas, such as medicine, economics or sociology. In this case, mathematics is used to solve real, everyday problems.

Differences between both branches

Differences in approach

The main difference between academic mathematics and applied mathematics is their focus. While the former focus on the theoretical and abstract analysis of different mathematical concepts, the latter focus on solving practical and real problems.

Differences in methodology

Academic mathematics typically uses rigorous proof methods to prove mathematical propositions and theorems, while applied mathematics uses different mathematical tools to solve practical problems.

Conclusion

In summary, academic mathematics and applied mathematics are two very different disciplines within mathematics. Although both are important for education, each has its specific approach and methodology. Academic mathematics delves into theory and the rigorous demonstration of mathematical theorems and propositions, while applied mathematics focuses on the practical solution of real, everyday problems.

• academic mathematics They focus on the theoretical and abstract study of mathematical concepts.
• applied mathematics They focus on the application of mathematical concepts in real or everyday problems.
• Academic mathematics uses rigorous proof methods to prove mathematical propositions and theorems.
• Applied mathematics uses different mathematical tools to solve practical problems.