User:Tobi 5486/Computer mathematics


 * Automated theorem proving, the proving of mathematical theorems by a computer program
 * Symbolic computation, the study and development of algorithms and software for manipulating mathematical expressions and other mathematical objects
 * Computational science, constructing numerical solutions and using computers to analyze and solve scientific and engineering problems
 * Theoretical computer science, collection of topics of computer science and mathematics that focuses on the more abstract and mathematical aspects of computing
 * Computational mathematics is a specialized field that combines mathematical theory, practical engineering, and computer science. Through a degree in Computational Mathematics, individuals can learn how to solve complex problems in science, engineering, and business using mathematical models and computational algorithms. There are also various specializations available in Computational Mathematics, such as numerical analysis, mathematical modeling, algorithm design, data science, and cryptography. 
 * Historical development and impact of computational mathematics, particularly in the post-World War II era is very vital when talking about the history. It highlights the evolution from early devices like the abacus to more advanced mechanical calculators by Pascal and Leibniz, culminating in the electronic computers developed during World War II, such as the Mark I, ENIAC, and Colossus. It also discusses the progression of scientific computing through the 1950s, 1960s, and 1970s, leading to the development of more powerful mainframe and mini computers. With that being said, It shows how computers use numerical methods, including finite difference computation, to solve intricate equations, such as Schroedinger's wave equation in quantum mechanics.