Branches of Mathematics

Arithmetic: Study of numbers and their operations, including addition, subtraction, multiplication, and division.
Algebra: Study of variables and their relationships, often expressed through the use of symbols, equations, and functions.
Geometry: Study of shapes, sizes, and positions of objects, including points, lines, angles, and planes.
Calculus: Study of change and motion, including limits, derivatives, and integrals.
Number Theory: Study of properties of integers and other whole numbers, including primality, divisibility, and congruences.

Binary Operations: Operations that take two inputs, such as addition (a + b) and multiplication (a × b).
Unary Operations: Operations that take one input, such as negation (-a) and square root (√a).
Inverse Operations: Operations that "undo" each other, such as addition and subtraction, or multiplication and division.

Sets: Collections of unique objects, known as elements or members.
Functions: Relations between sets, where each input corresponds to exactly one output.
Graphs: Visual representations of relationships between objects, using nodes and edges.
Proofs: Logical arguments used to establish the validity of mathematical statements.

Euclid: Ancient Greek mathematician, known for his work in geometry and the development of the "Elements".
Isaac Newton: English mathematician and physicist, developed calculus and laws of motion.
Archimedes: Ancient Greek mathematician, engineer, and physicist, made significant contributions to geometry, calculus, and mechanics.
Euler: Swiss mathematician, made significant contributions to number theory, algebra, and calculus.

Mathematical Induction: Method of proof used to establish that a statement is true for all positive integers.
Venn Diagrams: Visual representations of sets and their relationships.
Cartesian Coordinates: System for representing points in space using ordered pairs or triples of numbers.
Mathematical Notation: Symbols and conventions used to represent mathematical concepts and operations.

The branch of arithmetic deals with numbers and their operations, including addition, subtraction, multiplication, and division.
Algebra is the study of variables and their relationships, often expressed through symbols, equations, and functions.
Geometry involves the study of shapes, sizes, and positions of objects, including points, lines, angles, and planes.
Calculus is the study of change and motion, including limits, derivatives, and integrals.
Number theory is the study of properties of integers and other whole numbers, including primality, divisibility, and congruences.

Binary operations take two inputs, such as addition (a + b) and multiplication (a × b).
Unary operations take one input, such as negation (-a) and square root (√a).
Inverse operations "undo" each other, such as addition and subtraction, or multiplication and division.

A set is a collection of unique objects, known as elements or members.
A function is a relation between sets, where each input corresponds to exactly one output.
A graph is a visual representation of relationships between objects, using nodes and edges.
A proof is a logical argument used to establish the validity of mathematical statements.

Euclid was an ancient Greek mathematician, known for his work in geometry and the development of the "Elements".
Isaac Newton was an English mathematician and physicist, who developed calculus and laws of motion.
Archimedes was an ancient Greek mathematician, engineer, and physicist, making significant contributions to geometry, calculus, and mechanics.
Euler was a Swiss mathematician, who made significant contributions to number theory, algebra, and calculus.

Mathematical induction is a method of proof used to establish that a statement is true for all positive integers.
Venn diagrams are visual representations of sets and their relationships.
Cartesian coordinates are a system for representing points in space using ordered pairs or triples of numbers.
Mathematical notation involves symbols and conventions used to represent mathematical concepts and operations.