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Related lectures (29)
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Integers: Sets, Maps, and Principles
Introduces sets, maps, divisors, prime numbers, and arithmetic principles related to integers.
Integers: Elementary Concepts
Covers fundamental concepts related to integers, including properties of well-ordered sets and the principle of induction.
Powers, Roots, etc.: Calculation Rules
Covers the rules of calculation for powers, roots, and more, focusing on positive numbers and integers.
Properties of Subtraction
Covers the properties of subtraction and the distributivity of multiplication.
Number Theory: Operations and Equivalence
Covers operations and equivalence relations in number theory, including addition, subtraction, multiplication, division, and properties of neutral and inverse elements.
Functions and Integers
Covers functions, integers, GCD, and reasoning by recurrence, including the Euclidean algorithm and induction principle.
Group Theory: Basics
Covers the basics of group theory, including definitions, examples, and isometries.
Understanding Equivalence Relations and Integer Construction
Covers the construction of integers through equivalence relations and their properties in mathematics.
Mathematical Induction: Basics and Applications
Introduces mathematical induction principles and applications, including inequalities, divisibility, subsets, and strong induction.
Multiplication in Rational Numbers
Covers the extension of addition and multiplication operations in rational numbers.