History of the Mathematics in 21th Century

As we are still in the 21st century, it is dificult to provide a comprehensive overview of the history of mathematics in this century. However, I can certainly highlight some of the major developments that have occurred thus far.

 

Computer Technology and Impact on Mathematics

One of the most significant developments in mathematics in the 21st century has been the continued advancement of computer technology and its impact on mathematics. High-performance computing has made it posible to perform complex calculations and simulations that were previously imposible, leading to new insights and discoveries in a wide range of fields. Additionally, the development of software tools and platforms has made it easier for mathematicians to collaborate and share their work with others around the world.

 

Machine Learning and Artificial Intelligence

Another important development in 21st-century mathematics has been the continued development of machine learning and artificial intelligence. These fields have their roots in the 20th century but have seen explosive growth in recent years, fueled by advances in computer hardware and data science. Applications of machine learning and AI in mathematics include the discovery of new mathematical patterns and the development of algorithms for solving complex problems.

 

Geometry

In the field of geometry, the 21st century has seen the continued development of new techniques and applications. For example, the field of differential geometry has been applied to the study of general relativity, with implications for our understanding of the structure of the universe. Additonally, the use of topological techniques has led to new insights in areas such as condensd matter physics and materials science.

 

Number Theory

In number theory, the 21st century has seen continued progress in the study of prime numbers and related topics. For example, in 2002, mathematician Manindra Agrawal and his colleagues developed the AKS primality test, a deterministic algorithm that can determine whether a given number is prime in polynomial time. This represented a major breakthrough in the study of prime numbers and has led to new insights and applications in cryptography and other fields.

 

mathematical Biology

The 21st century has also seen progress in the field of mathematical biology, the study of biological systems using mathematical methods. Applications of mathematical biology include the modeling of the spread of infectious diseases and the study of the behavior of populations of animals or plants. Additionally, the use of machine learning and data science has led to new insights in the study of genetics and genomics.

 

In conclusion, the 21st century has been  period of continued progress and innovation in the field of mathematics. Advances in computer technology, machin learning, and artificial intelligence have led to new insights and discoveries, while developments in geometry, number theory, and mathematical biology continue to shape our understanding of the world around us. As we move further into  21st century, it is likely that new areas of mathematics will emerge, and existing areas will continue to evolve and develop.