Number Theory Math for Fun
Explore number theory concepts through engaging proofs, puzzles, and problems, from classic irrationality demonstrations to modular arithmetic and prime numbers.
Real Numbers CBSE Class 10
Comprehensive exploration of real numbers for 10th grade, covering number systems, Euclid's lemma, HCF, fundamental theorem of arithmetic, and irrational numbers.
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.
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.
How Did Ramanujan Solve the Strand Puzzle?
Explore Ramanujan's genius through an infinite fraction puzzle, delving into continued fractions, Pell equations, and the Euclidean algorithm. Gain unique insights into mathematical concepts and problem-solving techniques.
Real Numbers
Comprehensive overview of real numbers, covering rational and irrational numbers, integers, and decimals. Includes practice problems and examples for better understanding.
Pi Is Irrational - Animation of a Gorgeous Proof
Explore a visually stunning animation of Lambert's proof of pi's irrationality, delving into infinite fractions and mathematical concepts in an engaging, accessible manner.
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.
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.
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.
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.
An Irrational Sum
Explore the fascinating world of irrational numbers through an intriguing sum, delving into mathematical concepts and problem-solving techniques.
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.
The Number `E' by Tanvi Jain
Explore the mathematical constant 'e', its history, applications in compound interest, logarithms, calculus, and complex numbers. Discover its irrationality and significance in various mathematical contexts.
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.
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.
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.
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.
E is Irrational - The Best Proof
Explore the most compelling proof of e's irrationality in this engaging mathematical demonstration, offering clear insights into this fundamental concept.
Inconvenient Truths About the Square Root of 2 - Real Numbers and Limits
Explores the concept of sqrt(2), its historical significance, and modern approaches, challenging traditional views on irrational numbers and highlighting logical issues in mathematical analysis.
A Discovery of Irrationality from 470 BC
Explore the ancient Greek discovery of irrational numbers, a mathematical breakthrough that challenged fundamental beliefs and shaped the foundations of modern mathematics.