Pigeonhole Principle Courses and Certifications

IIT Madras;  NPTEL

Combinatorics

Explore advanced counting techniques, generating functions, graph theory, and Polya theory. Gain insights into combinatorial structures and their applications in discrete mathematics.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Discrete Mathematical Structures

Explore permutations, graphs, functions, and more in this comprehensive study of discrete mathematical structures, covering key concepts and their applications.

• YouTube
• 1 day 3 hours
• On-Demand
• Free Video

Kimberly Brehm

Discrete Math II - Combinatorics

Explore advanced combinatorics, including permutations, generating functions, recurrence relations, graph theory, and algorithms, enhancing problem-solving skills in discrete mathematics.

• YouTube
• 12 hours
• On-Demand
• Free Video

Problem Solving Techniques

Explore advanced problem-solving techniques including the Pigeonhole Principle, induction, symmetry, and number theory applications to enhance analytical skills.

• YouTube
• 2 hours 30 minutes
• On-Demand
• Free Video

Institute for Advanced Study

A Brief Tour of Proof Complexity - Lower Bounds and Open Problems - Toniann Pitassi

Explore proof complexity, lower bounds, and open problems in computer science and discrete mathematics with insights on proof systems and their limitations.

• YouTube
• 1 hour 46 minutes
• On-Demand
• Free Video

ICTP Mathematics

Rotations of the Circle and Renormalization

Explore circle rotations, renormalization, and dynamical systems with Corinna Ulcigrai. Learn key concepts, proofs, and applications in this advanced mathematics lecture.

• YouTube
• 58 minutes
• On-Demand
• Free Video

Michael Penn

Problem Solving - The Pigeonhole Principle

Explore the pigeonhole principle through examples, including famous problems from Erdos and the 1994 Putnam Exam. Learn problem-solving techniques in mathematics.

• YouTube
• 29 minutes
• On-Demand
• Free Video

Schmid College, Chapman University

Counting Arithmetic - A New Foundational Approach

Explore a new foundational approach to arithmetic centered on counting, challenging traditional views and introducing a novel interpretation of arithmetical equations.

• YouTube
• 1 hour 55 minutes
• On-Demand
• Free Video

Combinatorial Mathematics | 组合数学

2 reviews

探索组合数学的基础理论和应用，从古代故事到现代算法，掌握离散元素分析的关键技能，为计算机科学奠定基础。

• edX
• 12 weeks, 4-6 hours a week
• On-Demand
• Free Online Course (Audit)

Instituto de Matemática Pura e Aplicada

O que é o Princípio da Casa dos Pombos?

Explore o princípio da casa dos pombos, um conceito matemático fundamental, e suas aplicações em diversos campos da ciência e tecnologia.

• YouTube
• 23 minutes
• On-Demand
• Free Video