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Lecture
Rational Numbers Construction
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Related lectures (31)
Euclidean Division and Simple Elements
Explains polynomial division, factor decomposition, and rational function simplification.
Mathematical Notations: Recap and Rational Numbers
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Covers a recap on mathematical notations and introduces rational numbers and basic algebraic operations.
Number Theory: Operations and Equivalence
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Covers operations and equivalence relations in number theory, including addition, subtraction, multiplication, division, and properties of neutral and inverse elements.
Norms and Valuations on Fields
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Covers the construction of Qp, norms, valuations, and Ostrovski's theorem.
Logic and Proof Techniques
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Covers integers, rationals, logic, proof techniques, functions, and relations using examples and truth tables.
Integers and Rings
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Covers integers, rings, subrings, invertibility, divisors of zero, and equivalence relations in formal fractions.
Division and Multiplication in Rational Numbers
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Explores division and multiplication in rational numbers, emphasizing the concept of multiplying by the inverse.
Simplex: Implementation and Methods
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Covers the implementation of the Simplex algorithm and its methods.
Field of Fractions: Definition and Properties
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Covers the definition and properties of a field of fractions.
Complex Numbers: Algebraic Structures and Applications
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Covers algebraic structures, real numbers, fields, and the applications of complex numbers in science and engineering.
Construction of Real Numbers
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Discusses the construction and uniqueness of real numbers from rational numbers.
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