Branches of Mathematics

Arithmetic: study of numbers and their operations (e.g., addition, subtraction, multiplication, division)
Algebra: study of variables and their relationships, often expressed through symbols and equations
Geometry: study of shapes, sizes, and positions of objects
Calculus: study of change and motion, including limits, derivatives, and integrals
Topology: study of properties of shapes and spaces that are preserved under continuous deformations
Number Theory: study of properties of integers and other whole numbers
Combinatorics: study of counting and arranging objects in different ways

Variables: symbols used to represent unknown values or quantities
Constants: values that do not change
Functions: relations between variables, often expressed as formulas or equations
Equations: statements that express the equality of two mathematical expressions
Inequalities: statements that express a relationship between two mathematical expressions, such as "less than" or "greater than"
Proofs: logical arguments used to establish the validity of a mathematical statement

Addition: combining two or more numbers to get a total or sum
Subtraction: finding the difference between two numbers
Multiplication: combining two or more numbers to get a product
Division: finding the quotient of two numbers
Exponents: raising a number to a power, often used to represent repeated multiplication
Roots: finding the value of a number that, when raised to a power, gives a specified value

Euclid: ancient Greek mathematician who wrote "The Elements," a foundational text on geometry
Isaac Newton: English mathematician and physicist who developed calculus and laws of motion
Archimedes: ancient Greek mathematician and engineer who made significant contributions to geometry and calculus
Pierre-Simon Laplace: French mathematician and astronomer who developed probability theory and celestial mechanics
Emmy Noether: German mathematician who made significant contributions to abstract algebra and theoretical physics

Arithmetic deals with numbers and their operations, including addition, subtraction, multiplication, and division.
Algebra involves the study of variables and their relationships, often expressed through symbols and equations.
Geometry focuses on the study of shapes, sizes, and positions of objects.
Calculus is the study of change and motion, including limits, derivatives, and integrals.
Topology explores the properties of shapes and spaces that are preserved under continuous deformations.
Number Theory involves the study of properties of integers and other whole numbers.
Combinatorics is the study of counting and arranging objects in different ways.

Variables are symbols used to represent unknown values or quantities.
Constants are values that do not change.
Functions are relations between variables, often expressed as formulas or equations.
Equations are statements that express the equality of two mathematical expressions.
Inequalities are statements that express a relationship between two mathematical expressions, such as "less than" or "greater than".
Proofs are logical arguments used to establish the validity of a mathematical statement.

Addition is the process of combining two or more numbers to get a total or sum.
Subtraction involves finding the difference between two numbers.
Multiplication is the process of combining two or more numbers to get a product.
Division involves finding the quotient of two numbers.
Exponents are used to raise a number to a power, often used to represent repeated multiplication.
Roots involve finding the value of a number that, when raised to a power, gives a specified value.

Euclid, an ancient Greek mathematician, wrote "The Elements," a foundational text on geometry.
Isaac Newton, an English mathematician and physicist, developed calculus and laws of motion.
Archimedes, an ancient Greek mathematician and engineer, made significant contributions to geometry and calculus.
Pierre-Simon Laplace, a French mathematician and astronomer, developed probability theory and celestial mechanics.
Emmy Noether, a German mathematician, made significant contributions to abstract algebra and theoretical physics.