Cyclopaedia Universalis
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Cyclopaedia Universalis
Continuum Model
Tiered Holonic (C.G. Butler)
Conceptual Domains
Classical Greek
Personalities
People I Most Admire
Present
Norman J. Wildberger
YouTube Videos
Parents
Norman J. Wildberger
Children
A "gauge" approach to duality and bi-actions for the symmetric group" Dynamics on Graphs 9| Wild Egg
A (somewhat) new paradigm for mathematics and physics
A Brief History
A friendly but spirited debate with Daniel Rubin on Real Numbers and the Infinite in Analysis
A more rational
A multiset approach to arithmetic
A new look at the quadratic equation: avoiding "square roots"
A new Staff Notation based on Parity
A proof of Archimedes' parabolic area formula for de Casteljau Bezier curves
A skeptical look at the Special Relativity narrative
AC and dCB Curves 14 | Towards a new algebraic geometry for cubic curves | Wild Egg maths
AC and dCB Curves 15 | Simple theorems for the parabola (with Steven Choi)
AC and DCB Curves 16 | Some novel theorems for the parabola (with Steven Choi) | Wild Egg Maths
AC Geometry DCB Curves17 | Three points on a circle and their poles (new theorems?) | Wild Egg maths
Adding bigger sums using open numbers
Advice
Affine and projective geometry and a proof of Pappus' theorem
Algebraic Calculus
Alternating
An algebraic infinitesimal approach to product and chain rules
Ancient Mathematics
Anna Tomskova's welcome to Algebraic Calculus One
Archimedes Parabolic Area Formula for Cubics!
Aristotle's syllogisms revisited with the Algebra of Boole
Aristotle's syllogisms revisited with the Algebra of Boole | MathFoundations 280 | N J Wildberger
Arithmetical Algorithms and "Polyseries"
B. Riemann and the complex sphere
Barycentric coordinates and subtractive arithmetic of vectors
Binomial to Multinomial to Multiseries
Boole's Logic and Circuit Analysis
Bootstrapping for numerical solutions of cubic equations
Box Arithmetic with Polynumbers
Calculus and affine geometry of the magical parabola
Can physics be rationalized? The Cayley Transform is key! | Sociology and Physics | N J Wildberger
Can this method work to obtain complex zeroes?|Solving Polyn Eqns 37b
Central Banks and National Currencies I
Central polynumber algebra and a (baby) Weyl character formula
Central polynumbers and SL(2)
ChatGPT4.0 discusses "real number arithmetic"
Chords and the Mathematical Fretboard
Chords in Parity Staff Notation
Classical to Quantum
Classical to Quantum
Classical to Quantum | A projective, dihedral view of 2D rotations and reflections | Wild Egg Maths
Classical to Quantum | Apollonius
Classical to Quantum | Regular Polygons and circular Fourier Series | Wild Egg Maths
Classical to Quantum | The projective, Cayley, complex view of rotations | Wild Egg Maths
Classical to Quantum | The remarkable Cayley Transform (orthogonal case) | Wild Egg Maths
Classical to Quantum | The Square and Triangular Wave Fourier Series via Epicycles | Wild Egg Maths
Classical to Quantum | Towards rational rotations in physics | Wild Egg Maths
Clock Mathematics and the 12 tone scale (chromatic)
Counting roofed subdivided polygons (RSP's)
Curt Jaimungal Interview and Theories of Everything
CurvesSurfaces1: Affine and Projective Geometry, and the Problem of Lines
CurvesSurfaces2: Algebraic Calculus and extending Archimedes' Parabolic Area Formula to Cubics
De Casteljau's algorithm and splitting dCB curves
Dispelling limit confusions and cheating
Divide like a Babylonian! With our new "centimal" arithmetic (base 100)
Dual complex numbers and Leibniz's differentiation rules
Dynamic on Graphs 2: How ADE Graphs arise from the Mutation Game
Dynamics on Graphs
Elementary Mathematics (K-6) Explained
Emile Borel: Real number enthusiast or skeptic?
Equality in Computer Science: with Michael Reynolds
Ernst Mach's approach to physics definitions
Euclid Book 1 Props I
Euclid Book 1 Props VI-VIII - a foundation for geometry
Euler's Product for the Zeta function via Boxes I
Euler's Product for the Zeta function via Boxes II
Exceptional structures in mathematics and physics from dynamics on graphs
Explorations with q-series
Explorations with q-series
Explorations with q-series
Explore q-series
Exploring q-series
Famous Math Problems 24a: How to set up fractions I
Faulhaber's polynomials via Excel
Finite Matrix Groups 1
Finite versus infinite and number systems
Fractions and Equivalence Relations (Addendum)| Famous Math Problems 24e
Gauss's view of curvature and the Theorema Egregium
Generalizing polynumbers via arithmetic with multisets/msets
Go Lesson 1: The flow of the game
Go lesson 12: Basic fighting skills after a corner enclosure
Go Lesson 13: Honinbo Sansa VS Rigen (~1600)
Go Lesson 14: A classic game between Guo Bailing and Wang Hannian (around 1600)
Go Lesson 15: Honinbo Dosaku vs Inoue Dosa Inseki (1678)
Go Lesson 2: The basic rules
Go Lesson 3: Life and death and two eyes!
Go Lesson 4: More life and death shapes
Greek Pure Mathematics and the "Infinitude of Primes"
Hexagram Mysticum
Higher Linear Algebra
History of Geometry IV: The emergence of higher dimensions
How to set up fractions II
How to set up fractions III - canonical forms via the Euclidean Algorithm
How to set up fractions IV: the relation between fractions and other number systems
Howard Crowhurst and the Kercado Dolmen | Ancient Mathematics | N J Wildberger
Howard Crowhurst and the Le Menec cromlech
Howard Crowhurst and the Manio Conception Triangle
Howard Crowhurst and the Manio Fertility Triangle
Hypergroup definition and five key examples
Index degree and the Multiseries theorem
Initial Shoulder Hit: a new strategy for Go Bot Battles
Integration by Parts and Areas under Curves
Introducing (finally!) Box Arithmetic
Introducing Modes of the major scale
Irreducibility and the Schoenemann-Eistenstein criterion
Is pure mathematics logically viable? Five Challenges!
John Keil's preface to Euclid
Korea Lecture SNU Feb 2024
Korea Lecture SNU Feb 2024
Let's crack the Riemann Hypothesis!
Letting go of Inertial Reference Frames
Magic of q-series
Math Debate: Real numbers and the infinite in analysis (NJ Wildberger)
Math Foundations C (150-- )
Mathematical Transgressions (June 3-4, 2024)
MathHistory: A course in the History of Mathematics
Maths, Music and Tik Tok
Mirror symmetry for young students
Modes of Minor and other Scales
More arithmetic with negative msets
Multiplicative functions and Dirichlet series via Boxes
Multiplicative functions and Dirichlet Series via Boxes II| Math Foundations 243
Multiset arithmetic via trees
Mutation Matrices
Negative Numbers and Arithmetic's missing Chapter
Negatives numbers from anti msets
New Directions for Mathematics Education and Research
Newton's Polyseries and the Harriot-Pascal Array
Number Systems Ancient to Modern 1: the Egyptians
Number Systems Ancient to Modern 2: the Babylonians
Number theory and Sieve Magic
Number theory and Sieve Magic
Numerical solution of quintic equations using bootstrapping
Numerical solutions of quadratic equations and bootstrapping
OB surveying, number systems and Si.427
Object position duality for the symmetric group: Dynamics on Graphs 8
Parity staff notation (PSN) for music
Particle collisions, hypergroups and quadratic residues
Pitch, Saxes, and Transpositions
Platonic solids and their symmetries
Playing with q-mathematics
Poly Eqns 20: The bridge between polygonal subdivisions and polynomial equations
Polynomial Equations 21: Ternary operations on Fuss polygonal subdivisions
PolynomialEquations17
Polynumbers and de Casteljau Bezier curves
Positive roots for ADE graphs (with exception E8)
Publishing a Math Paper 1| Writing the "Solving Polynomial Equations" paper 1
Pure maths has painted itself into a corner
Pythagorean intervals in music and the magic of numbers
Q Series via Box Arithmetic
q-series
Recent Conversation with Curt Jaimungal
Regular colourings of regular tilings
Regular tilings of the plane
Rethinking musical note naming from a mathematical point of view
RSP numbers and a global algebraic solution to polynomial equations| Wild Egg
Scale Adjacency, Sharps and Flats
Sequences in GeoGebra with Dr Anna Tomskova
Solving Polynomials
Stable populations and ADE
Standard Staff Notation Issues
Subderivatives and Lagrange's Approach to Taylor Expansions
Tangent Curves and Truncations
The AI machines are coming
The Algebraic Calculus One course
The Banach Tarski paradox - is it nonsense?
The big mathematics divide: between "exact" and "approximate"
The big step from polynumbers to multinumbers!!
The Binomial Chu Vandermonde Identity: a new unification?
The Catalan multiset algebra
The Central Object In Mathematics!
The Chu Vandermonde Identity
The curious world of integral polynumbers
The even tempered 12 tone scale, irrationality, and a Pythagorean coincidence
The fundamental scale is the chromatic 12 tone scale!
The Fundamental Theorem of Algebra: NOT!
The Hexagrammum Mysticum 2
The impossibility of a Pythagorean scale and "sqrt(2)"
The impossibility of a Pythagorean scale and "sqrt(2)"
The k-Poly Algebra and truncations
The Log Tables of Napier, Burgi and Briggs
The major scale is almost uniform (and 42)
The many faces of equality (in mathematics)
The mathematics of Scales and Modes
The mega solution of a general polynomial equation
The midpoint hierarchy and dynamics on a de Casteljau Bezier polygon
The numerical system of the ancient Greeks
The One Dimensional Random Walk Hypergroup | Diffusion Symmetry
The operation of caret
The perspective image of a square I
The perspective image of a square II
The perspective image of a square III --- the solution
The perspective image of a square IV: the number theoretic side
The RSP conjecture and a corresponding solution to all polynomial equations
The S3 character table - a (somewhat) new meaning
The Scientific Method and the question of "Infinite Sets"
The speed of light c is NOT a universal constant
The Square Lattice via group D4 and its hypergroups
The three most important mathematicians in America today
The Three/Four bridge and solving quartic equations
The Weyl group of an ADE graph via the mutation representation
The Weyl groups W(A_n) are the symmetric groups S_{n+1}
Think like a Babylonian! With "centimal" base 100 arithmetic
Time Contraction and length dilation in SR
Tones, notes, duodecimals: and a Eureka moment for arithmetic
Towards a Sociology of Pure Mathematics
Transformation of a Spline using GeoGebra, with Anna Tomskova
Uniform scales and group theory (mod 12)
Verifying Archimedes' parabolic area formula with Algebraic Calculus
Why Pythagorean scales can't be perfect: cycles of 5ths and 4ths
Wild Egg mathematics courses
Wild Egg Maths Channel Membership and the EXPLORE RESEARCH LEVEL MATHS series
Wild West Banking
Wildberger solves the twin prime conjecture!!
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