Irrational Numbers Courses and Certifications

Michael Penn

Pi Is Irrational

Explore a simple proof demonstrating pi's irrationality, delving into mathematical concepts and reasoning behind this fundamental property of the famous constant.

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

Common Core Math Grade 8 - The Number System: Standards

Explore eighth-grade number system concepts through engaging lessons and videos, aligning with Common Core standards and enhancing classroom learning.

• Study.com
• 40 minutes
• On-Demand
• Paid Course

Math Fundamentals: Numbers and Terminology

1 review

The basic concepts of sets, basic terminology and the fundamental properties of numbers (real and complex) are reviewed.

• edX
• 4 weeks, 3-4 hours a week
• On-Demand
• Free Online Course (Audit)

blackpenredpen

Number Theory Math for Fun

1 review

Explore number theory concepts through engaging proofs, puzzles, and problems, from classic irrationality demonstrations to modular arithmetic and prime numbers.

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

Real Numbers CBSE Class 10

1 review

Comprehensive exploration of real numbers for 10th grade, covering number systems, Euclid's lemma, HCF, fundamental theorem of arithmetic, and irrational numbers.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Algebra 1 Course - Unit 10

Comprehensive exploration of rational numbers, square roots, radicals, and the Pythagorean theorem, with practical applications in solving equations and understanding fractional exponents.

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

Grade 9 Mathematics Unit 1 Relation

Comprehensive exploration of number systems, operations, and mathematical concepts for Ethiopian Grade 9 students, covering rational, irrational, and real numbers, radicals, and more.

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

Insights into Mathematics

Curvature, Turning Numbers and Winding Numbers - Differential Geometry

Explore curvature, turning numbers, and winding numbers in planar curves. Learn about irrational numbers and transcendental functions from an applied perspective using rational turn angles.

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

Insights into Mathematics

Analytic Geometry and the Continuum - Math History - NJ Wildberger

Explores Cartesian geometry's development, merging numbers and geometry, and discusses issues with the continuum, irrational numbers, and decimal expansions, including pi's continued fraction approximations.

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

Insights into Mathematics

Analytic Geometry and the Continuum - Math History - NJ Wildberger

Explore Cartesian geometry's development, merging numbers and geometry. Delve into conics, cubics, Bezout's theorem, and the continuum, discussing ancient Greek influences and challenges with irrational numbers and pi.

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

Insights into Mathematics

Pythagoras' Theorem - Math History - NJ Wildberger

Explore Pythagoras' theorem's historical significance, Greek mathematical thinking, and its connections to ancient Babylonian mathematics and modern geometry.

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

International Mathematical Union

Dimitris Koukoulopoulos: Rational Approximations of Irrational Numbers

Explore rational approximations of irrational numbers with Dimitris Koukoulopoulos, delving into mathematical concepts and techniques for understanding these complex relationships.

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

ICTP Mathematics

Rotations of the Circle and Renormalization - Lecture 2

Explore advanced concepts in dynamical systems, focusing on circle rotations and renormalization techniques with expert insights from Corinna Ulcigrai.

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

Hausdorff Center for Mathematics

On B-adic Representation of Irrational Numbers

Explore b-adic representation of irrational numbers with Lars Kristiansen, delving into advanced mathematical concepts and their applications in number theory and analysis.

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

Numberphile

Approximating Irrational Numbers - Duffin-Schaeffer Conjecture

Explore the Duffin-Schaeffer Conjecture and its recent proof, delving into the fascinating world of irrational number approximations and their implications in number theory.

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