An Overview of 20 Keywords in Mathematics: Calculus, Algebra, Geometry, Trigonometry, and More

 

An Overview of 20 Keywords in Mathematics: Calculus, Algebra, Geometry, Trigonometry, and More

✔ 1. Calculus
Calculus - a branch of mathematics that deals with rates of change and slopes of curves, used in solving problems in physics, engineering, and economics.

✔ 2. Algebra
Algebra - a branch of mathematics that deals with mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics.

✔ 3. Geometry
Geometry - a branch of mathematics that deals with the shape and size of objects and the properties of space.

✔ 4. Trigonometry
Trigonometry - a branch of mathematics that deals with the relationships between the sides and angles of triangles and the calculations based on them.

✔ 5. Arithmetic
Arithmetic - a branch of mathematics that deals with the properties and manipulation of numbers, including addition, subtraction, multiplication, and division.

✔ 6. Statistics
Statistics - a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data.

✔ 7. Probability
Probability - a branch of mathematics that deals with the study of random events and the likelihood of their occurrence.

✔ 8. Mathematical logic
Mathematical logic - a branch of mathematics concerned with the study of reasoning and proof, and the formalization of mathematics through the use of symbolic systems.

✔ 9. Number theory
Number theory - a branch of mathematics concerned with the properties of integers, including prime numbers and Diophantine equations.

✔ 10. Differential equations
Differential equations - a branch of mathematics that deals with equations that describe the behavior of a system, in which the rate of change of one quantity is related to the values of other quantities.

✔ 11. Linear algebra
Linear algebra - a branch of mathematics that deals with the study of linear systems of equations and their transformations.

✔ 12. Topology
Topology - a branch of mathematics that deals with the study of the properties that are preserved under continuous transformations.

✔ 13. Set theory
Set theory - a branch of mathematics that deals with the study of sets, which are collections of objects, and the relationships between these sets.

✔ 14. Raph theory
raph theory - a branch of mathematics that deals with the study of graphs, which are mathematical structures used to model pairwise relationships between objects.

✔ 15. Combinatorics
Combinatorics - a branch of mathematics that deals with counting, both as a means and an end in obtaining results, and the study of discrete structures.

✔ 16. Abstract algebra
Abstract algebra - a branch of mathematics that studies algebraic structures, such as groups, rings, and fields.

✔ 17. Real analysis
Real analysis - a branch of mathematics that deals with the properties of real numbers and the functions that are defined on them.

✔ 18. Complex analysi
Complex analysis - a branch of mathematics that deals with the properties of complex numbers and functions of a complex variable.

✔ 19. Numerical analysis
Numerical analysis - a branch of mathematics that deals with the design, analysis, and implementation of algorithms for solving mathematical problems.

✔ 20. Fractals
Fractals - a branch of mathematics that deals with shapes and patterns that display self-similarity on different scales.