Applied Mathematics

Introduction

Applied mathematics is a branch of mathematics that deals with mathematical methods and techniques that are typically used in practical applications. This field of study has a significant overlap with the discipline of statistics, and it also interfaces with many areas of science.

History

The history of applied mathematics dates back to the earliest mathematical applications, which were used in commerce and simple computations. However, the field as we know it today began to take shape in the 20th century, when the development of computing technology made complex calculations more feasible.

Branches of Applied Mathematics

Applied mathematics can be divided into several specialized fields, each with its own specific applications and methods.

Computational Mathematics

Computational mathematics involves mathematical research in areas of science where computing plays a central and essential role. This includes numerical methods and computer science.

Mathematical Physics

Mathematical physics is concerned with the application of mathematics to problems in physics and the development of mathematical methods for such applications.

Operations Research

Operations research is an interdisciplinary branch of applied mathematics and formal science that uses methods such as mathematical modeling, statistical analysis, and mathematical optimization to arrive at optimal or near-optimal solutions to complex problems.

Applications of Applied Mathematics

Applied mathematics has a wide range of practical applications in various fields.

In Engineering

In engineering, applied mathematics is used in fields such as civil engineering, mechanical engineering, and electrical engineering to solve problems and design systems.

In Economics

Applied mathematics is also used extensively in economics, where it helps in the formulation of economic theories and models.

In Computer Science

In computer science, applied mathematics is used in areas such as algorithm design, machine learning, and data science.

Future of Applied Mathematics

The future of applied mathematics is closely tied to the advancement of technology and science. As these fields continue to evolve, the demand for advanced mathematical methods and models will continue to grow.