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Would you like to do a doctorate in mathematics? What should be the topic of your research? Discrete mathematics What do you know about discrete mathematics? Discrete mathematics was developed after 1990. What subdivision of mathematics will you fit into discrete mathematics? How has research in discrete mathematics been useful? Research in discrete mathematics is partly due to the development of digital computers, which operate in discrete steps and store data in discrete bits. Concepts and notations from discrete mathematics are useful in studying and describing objects and problems in branches of computer science, such as computer algorithms, programming languages, cryptography, automated theorem proving, and software development. Conversely, computer implementations are significant in applying ideas from discrete mathematics to real-world problems. What is mathematics? Mathematics is the study of quantity, structure, space, and change. What is the difference between math, maths, and mathematics? Math is a synonym of mathematics. Maths is a primarily British term for math. What are the subdivisions of mathematics? Mathematics can be subdivided broadly into the study of quantity, structure, space, and change (i.e., arithmetic, algebra, geometry, and mathematical analysis). 1. Arithmetic 2. Algebra 3. Geometry 4. Mathematical analysis 5. Other There are at least 1,000 mathematics topics, and each fits into one or more of these mathematical subdivisions. What is arithmetic? Arithmetic or arithmetics refers to counting, addition, subtraction, multiplication, and division. Thus, quantity is a property that exists in a range of magnitudes or multitudes. Mass, time, distance, heat, and angular separation are among the familiar examples of quantitative properties. Are studies of mass, time, distance, and heat mathematical concepts, physics concepts or both? Where is math useful? 1. Everyday life 2. Natural science 3. Engineering 4. Medicine 5. Social sciences 6. Applied mathematics 7. Computer Science 8. Cryptography 9. Economics and Mathematics 10. Other |