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Related lectures (30)

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Ordinary Differential Equations: Definitions and Methods

Explores ordinary differential equations, proof methods, and historical examples from Euclid, emphasizing logical reasoning and step-by-step derivations.

Real Numbers: Axioms and Bounds

Covers the organization of real numbers, axioms, and bounds, including infimum and supremum.

Group Theory Basics

Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.

Sigma Fields: Definition and Examples

Covers the concept of sigma fields and their role in probability theory.

Introduction to Proofs

Introduces informal proofs, explores practical applications, and explains theorem proofs using direct and indirect methods.

Real Numbers: Sets and Operations

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

Introduction to Proofs

Introduces informal proofs and their practical applications in computer science and mathematics, emphasizing the importance of proving theorems through direct and indirect methods.

Introduction to Types and Inductive Relations

Explores the significance of types in programming and discusses unsound type systems and inductively defined relations.

Proofs and Sets: Applications

Covers the basics of proofs, defining sets, and applications between sets.

Euclid and Bézout: Algorithms and Theorems

Explores the Euclidean algorithm, Bézout's identity, extended Euclid algorithm, and commutative groups in mathematics.