Multiplication in Rational Numbers

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Related lectures (34)

Selected Topics in Mathematics

Covers selected topics in mathematics for students interested in foundational concepts and challenges.

Integers: Elementary Concepts

Covers fundamental concepts related to integers, including properties of well-ordered sets and the principle of induction.

Rational Numbers: Definitions and Operations

Covers the definition and operations involving rational numbers.

Division and Multiplication in Rational Numbers Log in to Mediaspace to watch this video

Explores division and multiplication in rational numbers, emphasizing the concept of multiplying by the inverse.

Integers and Rings Log in to Mediaspace to watch this video

Covers integers, rings, subrings, invertibility, divisors of zero, and equivalence relations in formal fractions.

Fractions of Rings Log in to Mediaspace to watch this video

Explores the concept of fractions of rings and their uniqueness in ideals and quotients.

Number Theory: Operations and Equivalence Log in to Mediaspace to watch this video

Covers operations and equivalence relations in number theory, including addition, subtraction, multiplication, division, and properties of neutral and inverse elements.

Understanding Equivalence Relations and Integer Construction Log in to Mediaspace to watch this video

Covers the construction of integers through equivalence relations and their properties in mathematics.

Function Composition and Integers Log in to Mediaspace to watch this video

Covers function composition and integers, including properties and examples.

Integers: Sets, Maps, and Principles Log in to Mediaspace to watch this video

Introduces sets, maps, divisors, prime numbers, and arithmetic principles related to integers.

Logic and Proof Techniques Log in to Mediaspace to watch this video

Covers integers, rationals, logic, proof techniques, functions, and relations using examples and truth tables.

Active Learning Session: Group Theory Log in to Mediaspace to watch this video

Explores active learning in Group Theory, focusing on products, coproducts, adjunctions, and natural transformations.

Lenstra's Algorithm: Integer Factorization Log in to Mediaspace to watch this video

Covers Lenstra's Algorithm for integer factorization, which efficiently computes prime factors of an integer.

Advanced Analysis II: Recap and Open Sets Log in to Mediaspace to watch this video

Covers a recap of Analysis I and delves into the concept of open sets in R^n, emphasizing their importance in mathematical analysis.

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