Mathematical Proofs Courses and Certifications

Introduction to Mathematical Thinking

50 reviews

A key feature of mathematical thinking is thinking outside-the-box – a valuable ability in today’s world. This course helps to develop that crucial way of thinking.

• Coursera
• 1 day 14 hours 31 minutes
• On-Demand
• Paid Course

• Best of All Time

Math Sorcerer

9 Hours of Mathematical Proofs for Self Study - Topology, Analysis, Complex Variables, Abstract Algebra, Number Theory, and Advanced Calculus

Dive into comprehensive mathematical proofs spanning topology, analysis, complex variables, abstract algebra, number theory, and advanced calculus for intensive self-study.

• YouTube
• 8 hours 10 minutes
• On-Demand
• Free Video

Explosive Proofs of Mathematical Truths

Explore how mathematical proofs achieve certainty through network structure, enabling explosive emergence of belief even under skepticism. Data science analysis reveals insights into proof validity and mathematical reasoning.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Math Sorcerer

Introduction to Mathematical Proofs - Direct Proofs

Discover the fundamentals of direct proofs in mathematics, exploring proof writing techniques, style, and language through two carefully explained examples that build essential skills for mathematical reasoning.

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

The Royal Institution

Why Does Maths Give Humans the Edge Over Machines? - With Junaid Mubeen

Exploring human mathematical intelligence and its advantages over machines, highlighting reasoning, imagination, and questioning as key principles that give humans an edge in problem-solving.

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

The Royal Institution

The Story of Mathematical Proof - From Ancient Greece to Modern Logic

Explore the evolution of mathematical proof across number theory, geometry, topology, and logic, delving into the fascinating gap between natural and real numbers.

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

Michael Penn

A Great Proof of the Euler-Mascheroni Constant Identity

Explore a captivating proof of a fascinating mathematical identity, delving into elegant reasoning and surprising connections that illuminate the beauty of number theory.

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

Dr Trefor Bazett

The Longest Mathematical Proof Ever: Exploring Schur Number Five

Dive into the world's longest mathematical proof, exploring Schur number five and its 2-petabyte size. Uncover propositional logic, SAT solvers, and proof verification in this fascinating journey.

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

Mathologer

I Built an Original One-Glance Proof from Dice

Discover a novel mathematical proof using dice arrangements and magnetic cube mechanisms to reveal hidden patterns in familiar six-sided objects.

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

Numberphile

The Secret of the Raffle Function - Epic Proof

Discover the raffle function through Zvezdelina Stankova's epic mathematical proof, revealing surprising connections in this in-depth exploration of advanced number theory.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Video

Michael Penn

The Best Proof That the Real Numbers Are Uncountable

Discover the most elegant and compelling proof demonstrating why real numbers cannot be countable in this mathematical exploration of Cantor's diagonal argument.

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

Michael Penn

The First Proof of the Irrationality of Pi

Discover the groundbreaking mathematical proof demonstrating that π is an irrational number through rigorous analysis and elegant reasoning techniques.

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

MindYourDecisions

Ramanujan's Radical Brain Teaser

Explore the legendary mathematical brain teaser that stumped mathematicians for over a year until Ramanujan himself revealed the solution to his challenging nested radical problem.

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

International Mathematical Union

Georges Gonthier - Computer Proofs - Teaching Computers Mathematics, and Conversely

Explore computer-assisted mathematical proofs, from the four-color puzzle to homotopy type theory. Learn how computer science methods enhance mathematical language, leading to new insights and advancements in formal proofs.

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

Michael Penn

A Cornucopia of Proofs

Learn various proof-writing techniques with Michael Penn in less than an hour. Randolph College Math and Science.

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