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Lecture
Data Abstraction: Rational Numbers
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Dedekind Cuts: Rational Numbers
Explores Dedekind cuts in rational numbers, essential for constructing real numbers.
Simplex: Implementation and Methods
Covers the implementation of the Simplex algorithm and its methods.
Mathematical Notations: Recap and Rational Numbers
Covers a recap on mathematical notations and introduces rational numbers and basic algebraic operations.
Algebraic Operations
Covers the basic concepts of rational numbers and algebraic operations, including addition, subtraction, multiplication, and division.
Complex Numbers: Introduction and Operations
Introduces complex numbers and their forms, including Cartesian, polar, and exponential forms, and explains how to find the argument of a complex number.
Introduction to Analysis
Covers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.
Introduction to Real Numbers and Their Properties
Introduces real numbers, their properties, and their significance in analysis.
Complex Numbers: Algebraic Structures and Applications
Covers algebraic structures, real numbers, fields, and the applications of complex numbers in science and engineering.
More Results on Inf/Sup, Density of Q in R
Covers inf/sup, integral part of real numbers, and density of rational numbers.
Division and Multiplication in Rational Numbers
Explores division and multiplication in rational numbers, emphasizing the concept of multiplying by the inverse.