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Lecture
Rational Numbers: Definitions and Operations
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Related lectures (31)
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Algebraic Operations
Covers the basic concepts of rational numbers and algebraic operations, including addition, subtraction, multiplication, and division.
Understanding Equivalence Relations and Integer Construction
Covers the construction of integers through equivalence relations and their properties in mathematics.
Division in Rational Numbers
Explores division in rational numbers and the extension of addition from integers.
Division and Multiplication in Rational Numbers
Explores division and multiplication in rational numbers, emphasizing the concept of multiplying by the inverse.
Group Theory: Basics
Covers the basics of group theory, including definitions, examples, and isometries.
Modular Arithmetic: Introducing Z/mZ
Introduces Z/mZ for writing equations with congruence classes in modular arithmetic.
Definition of Complex Numbers Field
Introduces complex numbers and defines their field, emphasizing properties and operations.
Polynomials: Operations and Properties
Explores polynomial operations, properties, and subspaces in vector spaces.
Natural Numbers
Covers the concept of natural numbers, including properties like commutativity and associativity.
Linear Equations and Matrices: Solution Methods, Elementary Operations
Explores solution methods and elementary operations for linear equations and matrices, demonstrating techniques to simplify systems and obtain solutions.
