Elementary Mathematics for Higher Institutions
in Faculty of ScienceAbout this course
Comments (0)
This topic introduces the different ways numbers are classified and used in mathematics, helping learners understand how simple counting numbers grow into more advanced numerical systems.
Natural Numbers: These are the basic counting numbers used in everyday life, starting from 1 and increasing endlessly. They form the foundation of arithmetic.
Integers: This set expands natural numbers to include zero and negative numbers, allowing us to represent gains, losses, and direction.
Rational Numbers: Numbers that can be expressed as fractions of integers, including whole numbers, fractions, and terminating or recurring decimals.
Irrational Numbers: Numbers that cannot be written as simple fractions and whose decimal forms never end or repeat, such as √2 and π.
Real Numbers: The complete collection of rational and irrational numbers, representing all points on the number line.
Complex Numbers: Numbers that involve the square root of negative numbers, extending real numbers and enabling solutions to equations that real numbers alone cannot solve.
This topic introduces sets as collections of objects and teaches the language of modern
mathematics, including symbols, operations on sets, and relationships between sets. It forms
the basis for logic, probability, and advanced mathematical reasoning.
