Setting up arithmetic

Related lectures (42)

Introduces complex numbers and defines their field, emphasizing properties and operations.

Explores countable and uncountable sets, demonstrating how to determine the cardinality of different sets through listing elements in a sequence.

Introduces complex numbers to solve unsolvable equations, exploring their properties and relationship with real numbers.

Covers selected topics in mathematics, including Taylor approximations and algebraic structures of Z and K[X].

Explores the concept of limits of sequences and their convergence towards infinity or negative infinity.

Covers countable and uncountable sets, sequences, summation, and Cantor's Diagonalization proof.

Explores the fundamental concepts of real numbers, including sets, operations, and properties like supremum and infimum.

Explores real number sequences, convergence, limits, boundedness, and monotonicity.

Introduces the course content by linking familiar mathematics with upcoming topics.

Explores the countability of subsets of real numbers and demonstrates that the set of real numbers is uncountable.

Covers the fundamental concepts related to real numbers, including sets, notations, and operations.

Explains divergent sequences and limits at infinity with examples.

Covers the analysis of worst time complexity for algorithms and time complexity with real numbers and integers.

Explores the properties and applications of roots of real numbers through practical examples.

Explains the step-by-step process of calculating determinants using elementary row operations.

Covers the basics of real numbers and set theory, including subsets, intersections, unions, and set operations.

Explores the definitions and examples of real number sequences, including arithmetic and geometric sequences.

Covers strings, countable sets, cardinality, and the concept of countability, exploring the countability of various sets and Cantor diagonalization.

Covers the fast exponentiation algorithm and its time complexity, prime number properties, and the El-Gamal encryption scheme.

Explains Cantor's theorem comparing cardinalities of different number sets.

Page 1 of 3