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Lecture
Roots of Real Numbers
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Related lectures (31)
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Inequality in Real Numbers
Explores the equivalence of inequalities to determine the least upper bound of a set.
Real Numbers Sequences
Explores real number sequences, convergence, limits, boundedness, and monotonicity.
Complexity of Algorithms: Proofs of Time Complexity
Covers the analysis of worst time complexity for algorithms and time complexity with real numbers and integers.
Real Number Sequences: Cauchy Sequences
Discusses Cauchy sequences, sub-sequences, and numerical series with parameters.
Important Property of Archimedean Bodies
Covers the Archimedean property and the proposition for all x in a set, there exists a positive real number n such that n*x is greater than y.
Limit of a Sequence
Explains the concept of the limit of a sequence and its importance in convergence.
Prelude: Linking Mathematics and Course Content
Introduces the course content by linking familiar mathematics with upcoming topics.
Limits and Exponential Functions
Explores limits, exponential functions, and logarithms properties.
Introduction to Real Numbers
Introduces the properties and structure of real numbers, emphasizing completeness and the Archimedean property.
Interior Points and Convergence
Explains interior points, convergence of sequences, and the dense property in real numbers.