Lectures related to Structural Induction

Structural Induction

Introduces structural induction, a method to prove properties of elements in recursively defined sets.

Fibonacci Numbers: Recursion and Induction

Explores Fibonacci numbers, rabbit population growth, and recursively defined functions.

Induction and Recursion: Summary

Covers mathematical induction, recursively defined functions, and iterative algorithms for problem-solving.

Induction and Recursion: Quiz

Covers topics related to induction and recursion, including mathematical induction proofs and recursive definitions.

Logical Formulas and Types: Understanding the Kerry Howard Isomorphism

Explores the Kerry Howard Isomorphism, translating logical propositions into types and terms, with a focus on proof by induction and exam preparation.

Recursively Defined Functions

Introduces recursively defined functions, showcasing examples like the Fibonacci numbers.

Recursion and Induction: Understanding Mathematical Proofs

Explores recursion and induction for mathematical proofs through recursive algorithms and functions.

Proofs by Induction: Principles and Examples

Explains the induction principle and proofs by induction with examples like 1 + 3 + 5 + ... + (2n-1) = n².

Mathematical Recursion: Induction and Recursion

Explains mathematical induction for proving propositions true for all positive integers.

Geometric Series: Convergence and Applications

Explores the convergence of geometric series and their applications in real-world problems.

Complexity & Induction: Algorithms & Proofs

Covers worst-case complexity, algorithms, and proofs including mathematical induction and recursion.

Reasoning about lists

Covers laws of list concatenation, proof by induction, referential transparency, and structural induction.

Complexity & Induction: Algorithms & Proofs

Explores worst-case complexity, mathematical induction, and algorithms like binary search and insertion sort.

Recurrence Demonstrations: Principle and Examples

Covers the principle of recurrence demonstrations with examples illustrating the process step by step.

Mathematical Recursion: Induction and Recursion

Covers the principle of mathematical induction for proving propositions true for all positive integers.

Mathematical Induction: Principle and Example MOOC: Analysis I (part 1): Prelude, basic concepts, real numbers MOOC: Analysis I

Introduces the principle of mathematical induction through an example.

Recursion and Induction: Proving Algorithms Correctly

Explains recursion, induction, and proving algorithm correctness through mathematical induction.

Mathematical Induction: Proofs and Subsets

Covers proofs by mathematical induction and the number of subsets of a finite set.

Linear Recurrence Relations

Explores linear recurrence relations, including examples like the Fibonacci numbers and the proof of related theorems.

Cauchy Sequences and Induction Log in to Mediaspace to watch this video

Covers Cauchy sequences, convergence, and induction in mathematical analysis.