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#Mathematical Proofs

#Mathematical Induction
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Number Theory Math for Fun

1 rewiews
Explore number theory concepts through engaging proofs, puzzles, and problems, from classic irrationality demonstrations to modular arithmetic and prime numbers.
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22 Lesons
14 hours
On-Demand
Free-Video
IMSA

The $K(\pi, 1)$ Conjecture - Part 2

1 rewiews
Explore the recent proof of the classical K(π,1) conjecture for affine Artin groups, delving into its mathematical intricacies and implications for algebraic topology.
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1 Lesons
56 minutes
On-Demand
Free-Video
Santa Fe Institute

Explosive Proofs of Mathematical Truths

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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.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
University of Oxford

Quantum Theory - The Heisenberg Uncertainty Principle: Oxford Mathematics 2nd Year Student Lecture

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Explore the Heisenberg Uncertainty Principle in quantum theory, its mathematical proof, and physical implications for measuring particle position and momentum.
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6 Lesons
21 minutes
On-Demand
Free-Video
Dr Trefor Bazett

The Bunkbed Conjecture Debunked - A Counterexample with 7222 Vertices

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Explore a groundbreaking development in probabilistic graph theory in this 15-minute video by Dr. Trefor Bazett. Learn about the recent disproval of the famous bunkbed conjecture, featuring a surprising counterexample with 7,222 vertices. Delve into the…
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1 Lesons
15 minutes
On-Demand
Free-Video
Wrath of Math

Multiplication Methods in the 1500s - The Grounde of Arts by Robert Recorde

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Explore a unique 16th-century multiplication method from Robert Recorde's popular arithmetic textbook. Discover its strengths, weaknesses, and validity through examples and proofs.
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1 Lesons
12 minutes
On-Demand
Free-Video
Dr Trefor Bazett

The Longest Mathematical Proof Ever: Exploring Schur Number Five

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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.
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8 Lesons
20 minutes
On-Demand
Free-Video
Wrath of Math

Uniform Continuity Explained - Real Analysis

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Dive into uniform continuity in real analysis, exploring its definition, examples, proofs, and related theorems. Gain insights into its distinction from standard continuity and its application to compact sets.
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6 Lesons
13 minutes
On-Demand
Free-Video

Number Theory

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Comprehensive exploration of number theory, covering foundational concepts to advanced topics like quadratic reciprocity, integer partitions, and Ramanujan's congruences.
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34 Lesons
16 hours
On-Demand
Free-Video
Neha Agrawal Mathematically Inclined

Matrices and Determinants Class XII 12th CBSE/ISC Maths

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Comprehensive exploration of matrices and determinants for 12th grade mathematics, covering key concepts, operations, properties, and problem-solving techniques.
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16 Lesons
6 hours
On-Demand
Free-Video
Kimberly Brehm

Discrete Math II - Combinatorics

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Explore advanced combinatorics, including permutations, generating functions, recurrence relations, graph theory, and algorithms, enhancing problem-solving skills in discrete mathematics.
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34 Lesons
12 hours
On-Demand
Free-Video
Statistics is Fun A.H

Gamma Distribution

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Learn about the Gamma distribution's properties, including its mean, variance, and moment generating function, as well as related gamma function properties and proofs.
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10 Lesons
1 hour 30 minutes
On-Demand
Free-Video
3Blue1Brown

Pi Hiding in Prime Regularities

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Explore the fascinating connection between pi, primes, and complex numbers through animated explanations, uncovering hidden patterns and mathematical relationships in number theory.
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8 Lesons
31 minutes
On-Demand
Free-Video
Academic Lesson

Number Theory Full Course - A to Z

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Comprehensive exploration of number theory, covering fundamental concepts, theorems, and applications. Ideal for learners seeking in-depth understanding of integer properties and advanced mathematical principles.
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37 Lesons
2 hours 34 minutes
On-Demand
Free-Video
Wrath of Math

Proving All the Sequence Limit Laws - Real Analysis

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Comprehensive proof of five fundamental sequence limit laws in real analysis, covering sum, difference, constant multiple, product, and quotient of convergent sequences with practical applications.
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7 Lesons
54 minutes
On-Demand
Free-Video
Mathologer

Why Did They Prove This Amazing Theorem in 200 Different Ways? Quadratic Reciprocity Masterclass

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Explore the beauty of quadratic reciprocity through an innovative card trick proof, making complex mathematical concepts accessible to non-mathematicians in this comprehensive masterclass.
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9 Lesons
57 minutes
On-Demand
Free-Video
Mathologer

Why Was This Visual Proof Missed for 400 Years? - Fermat's Two Square Theorem

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Explore a visual proof of Fermat's two square theorem, uncovering its 400-year history and the elegant 'windmill trick' that simplifies this complex mathematical concept.
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9 Lesons
34 minutes
On-Demand
Free-Video
Mathologer

The Proof - E and Pi Are Transcendental

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Explore the transcendence of e and pi through seven levels of mathematical enlightenment, from basic irrationality to advanced proofs, in this comprehensive and engaging video.
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9 Lesons
37 minutes
On-Demand
Free-Video
Mathologer

Heron's Formula - What Is the Hidden Meaning of 1 + 2 + 3 = 1 x 2 x 3?

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Explore Heron's formula and its extensions, uncovering the hidden meaning behind 1+2+3=1x2x3 and delving into geometric proofs and mathematical curiosities.
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15 Lesons
27 minutes
On-Demand
Free-Video
Mathologer

The Moessner Miracle - Why Wasn't This Discovered for Over 2000 Years?

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Explore the fascinating Moessner Miracle, a mathematical gem discovered 70 years ago. Learn proofs, amazing facts, and connections to other mathematical concepts in this accessible and engaging presentation.
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5 Lesons
26 minutes
On-Demand
Free-Video
Mathologer

The Pigeon Hole Principle - 7 Gorgeous Proofs

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Explore seven fascinating applications of the Pigeon Hole Principle in mathematics, from hairy twins to Rubik's cube properties and a mind-blowing card trick.
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9 Lesons
34 minutes
On-Demand
Free-Video
Mathologer

Some of the Most Gorgeous Visual "Shrink" Proofs Ever Invented

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Explore visual proofs in geometry, from equilateral triangles in square grids to irrationality. Discover lesser-known mathematical concepts through engaging puzzles and elegant demonstrations.
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8 Lesons
31 minutes
On-Demand
Free-Video
Krista King

Trig Identities - What Are They?

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Comprehensive guide to trigonometric identities, covering types, proofs, and memorization techniques. Explains their importance in simplifying expressions and solving complex problems.
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24 Lesons
39 minutes
On-Demand
Free-Video

Triangles - CBSE Class 10 Mathematics

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Comprehensive tutorial on triangle geometry covering similarity, theorems, and problem-solving for 10th grade mathematics, with emphasis on CBSE curriculum and exam preparation.
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46 Lesons
8 hours
On-Demand
Free-Video
Mathologer

Fibonacci Equals Pythagoras - Help Save a Stunning Discovery From Oblivion

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Explore the fascinating connection between Pythagorean triples and Fibonacci numbers, uncovering mathematical insights and solving puzzles along the way in this engaging video lecture.
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17 Lesons
43 minutes
On-Demand
Free-Video
Institute for Advanced Study

Eisenstein Series and the Cubic Moment for PGL(2) - Paul Nelson

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Explore Eisenstein series, cubic moments for PGL(2), and their applications in number theory. Gain insights into spectral expansions, hypergeometric functions, and improved bounds.
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23 Lesons
1 hour 1 minute
On-Demand
Free-Video
Institute for Advanced Study

Singularity Formation for Reduced Models of Fluid Equations - Mimi Dai

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Explore singularity formation in reduced fluid equation models, focusing on electron magnetohydrodynamics and its connection to Euler equations. Gain insights into nonlinear dynamics and finite-time singularities.
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11 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Institute for Advanced Study

A Gentle Approach to Crystalline Cohomology - Jacob Lurie

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Explore crystalline cohomology and the de Rham-Witt complex in algebraic geometry, with insights on alternative constructions and applications in positive characteristic fields.
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15 Lesons
56 minutes
On-Demand
Free-Video
Institute for Advanced Study

Viscosity Solutions Approach to Variational Problems - Daniela De Silva

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Explore viscosity solutions for variational problems with Daniela De Silva. Learn about Laplace's equation, Harnack inequality, and discrete equations in this advanced mathematics lecture.
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17 Lesons
55 minutes
On-Demand
Free-Video

Class 11 Maths One-Shot Videos

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Comprehensive video series covering all Class 11 Maths topics, including sets, functions, trigonometry, and calculus. Offers clear explanations and problem-solving techniques for CBSE students.
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23 Lesons
1 day 2 hours
On-Demand
Free-Video
Hausdorff Center for Mathematics

Mathematik für alle - in Zeiten von Corona, Folge 7: Des Rätsels Lösung

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Entdecken Sie die Schönheit der Mathematik und ihre Relevanz in der heutigen Welt. Prof. Kreck führt Sie durch elementare Beweise und zeigt, wie mathematisches Denken den Verstand schult und gegen Irrationalität wappnet.
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1 Lesons
22 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Mathematik für alle - in Zeiten von Corona, Folge 2: Es gibt unendlich viele Primzahlen

0 rewiews
Entdecken Sie die faszinierende Welt der Primzahlen und lernen Sie, warum es unendlich viele davon gibt. Ein spannender Einblick in die Schönheit und Logik der Mathematik für Neugierige jeden Alters.
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1 Lesons
22 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Katz-Grothendieck Conjecture: Criteria for Algebraic Solutions in Linear Differential Equations

0 rewiews
Explore a conjectura de Katz-Grothendieck sobre equações diferenciais lineares com soluções algébricas, incluindo contexto histórico e evidências principais. Adequado para estudantes de pós-graduação em matemática.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Aplicações de Complexos em Combinatória - Aula 03

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Aprofunde-se em aplicações avançadas de complexos em combinatória, explorando problemas desafiadores e técnicas de resolução para aprimorar suas habilidades matemáticas olímpicas.
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10 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Prague Mathematical Physics Seminar

Brouwer Fixed Point Theorem and Its Relationship with Other Topological Theorems

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Explore the Brouwer fixed point theorem's connections to Euclidean topology, with proofs and explanations of related topological results.
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1 Lesons
1 hour 23 minutes
On-Demand
Free-Video
ICTP-SAIFR

Os Números Complexos Existem? - Aula 1

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Explore a existência e aplicações dos números complexos em uma aula abrangente ministrada pelo Prof. Alberto Saa da Unicamp.
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1 Lesons
2 hours 46 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Le dernier théorème de Fermat

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Plongez dans l'histoire fascinante et la résolution du célèbre théorème de Fermat, un défi mathématique qui a intrigué les esprits pendant plus de trois siècles.
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1 Lesons
48 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Endpoint Fourier Restriction and Unrectifiability

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Explore endpoint Fourier restriction and its connection to measure unrectifiability in R^d, featuring a dichotomy between absolute continuity and 1-pure unrectifiability.
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8 Lesons
29 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

System Introductions I - PVS

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Introduction to PVS (Prototype Verification System) for formal specification and verification of systems, covering key features and applications in mathematical proofs and software development.
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1 Lesons
25 minutes
On-Demand
Free-Video
Wondrium

Voting & the Electoral College - Logic, Riddles, & Paradoxes in Math and History

0 rewiews
Explore paradoxical election outcomes, Arrow's impossibility theorem, and the Electoral College system. Analyze voting methods, mathematical proofs, and counterintuitive results in political decision-making.
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9 Lesons
30 minutes
On-Demand
Free-Video
Michael Penn

A Beautiful Identity in Mathematics - Exploring Elegant Mathematical Relationships

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Discover an elegant mathematical proof exploring a fascinating identity that connects different mathematical concepts in a clear and intuitive way.
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1 Lesons
16 minutes
On-Demand
Free-Video
The Royal Institution

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

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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.
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11 Lesons
58 minutes
On-Demand
Free-Video
Mathologer

The Golden Ratio Spiral - Visual Infinite Descent

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Explore number-associated spirals, infinite descent proofs, and continued fractions. Debunk golden ratio myths while gaining insights into number properties through visual representations.
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5 Lesons
22 minutes
On-Demand
Free-Video
Mathologer

Pi Is Irrational - Animation of a Gorgeous Proof

0 rewiews
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.
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8 Lesons
23 minutes
On-Demand
Free-Video
Mathologer

Sex and Marriage Theorems

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Explore mathematical theorems on stable marriages and debunk sex statistics myths. Discover how mathematicians can earn Nobel-like recognition through innovative problem-solving.
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9 Lesons
21 minutes
On-Demand
Free-Video
Insights into Mathematics

The Area of a Triangle and Archimedes' Formula - Famous Math Problems

0 rewiews
Novel approach to calculating triangle area using rational trigonometry, avoiding unnecessary irrationalities in Heron's formula. Presents a clearer solution based on Pythagoras' theorem and Triple quad formula, with practical applications.
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7 Lesons
38 minutes
On-Demand
Free-Video
Insights into Mathematics

The Realm of Natural Numbers - Data Structures in Mathematics

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Explore natural numbers through multisets, examining addition, union, and intersection operations. Discover unique properties, including a new distributive law that forms the basis for tropical calculus.
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9 Lesons
25 minutes
On-Demand
Free-Video
Insights into Mathematics

Naming and Ordering Numbers for Students - Data Structures in Mathematics Math Foundations

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Explores naming, ordering, and using natural numbers, focusing on their fundamental nature as expressions of marks. Discusses counting, cardinal vs ordinal usage, and the successor operation.
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7 Lesons
25 minutes
On-Demand
Free-Video
Insights into Mathematics

Rational Trigonometry, Generalized Triangle Geometry and Four-Fold Incenter Symmetry

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Explores rational trigonometry and generalized triangle geometry, introducing quadrances, spreads, and chromogeometry. Discusses Euler lines, incenters, and various triangle centers, culminating in a novel result on colored incenters.
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33 Lesons
50 minutes
On-Demand
Free-Video
Ryan O'Donnell

The SDP Relaxation for Max-Cut - Lecture 19b of CS Theory Toolkit

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Explore SDP relaxation for Max-Cut, transforming a quadratic program into a semidefinite program solvable by the Ellipsoid Algorithm. Part of CMU's graduate-level CS Theory Toolkit course.
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8 Lesons
33 minutes
On-Demand
Free-Video
Insights into Mathematics

Isosceles Triangles in Hyperbolic Geometry - Universal Hyperbolic Geometry - NJ Wildberger

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Explore isosceles triangles in hyperbolic geometry, including special formulas, midpoint construction, and related theorems. Gain insights through proofs, exercises, and applications of the cross law.
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9 Lesons
33 minutes
On-Demand
Free-Video
Insights into Mathematics

Polyhedra and Euler's Formula - Algebraic Topology

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Explore Platonic solids, Euler's formula, and spherical geometry in this engaging lecture on algebraic topology, featuring proofs and insights into fundamental mathematical concepts.
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12 Lesons
46 minutes
On-Demand
Free-Video
Insights into Mathematics

The Spread Law in Universal Hyperbolic Geometry - Universal Hyperbolic Geometry

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Explores the Spread law in universal hyperbolic geometry, including its definition, relation to Euclidean geometry, proof, and implications. Covers key concepts like quadrance, spread duality, and quadrea.
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7 Lesons
24 minutes
On-Demand
Free-Video
Insights into Mathematics

Pythagoras' Theorem in Universal Hyperbolic Geometry

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Explore the hyperbolic version of Pythagoras' theorem, its importance in geometry, and the concept of quadrance. Learn about planar coordinates, formulas, and proofs in Universal Hyperbolic Geometry.
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9 Lesons
36 minutes
On-Demand
Free-Video
Insights into Mathematics

Complex Numbers and Algebra - Math History - NJ Wildberger

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Explore complex numbers' history, applications in cubic equations, and geometric representations. Delve into the Fundamental Theorem of Algebra and its proofs by d'Alembert and Gauss.
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11 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Insights into Mathematics

Apollonius and Polarity Revisited - Universal Hyperbolic Geometry

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Explores Apollonius' polarity in hyperbolic geometry, focusing on null points, quadrangles, and the relationship between poles and polars. Includes explicit formulas and computational examples.
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8 Lesons
27 minutes
On-Demand
Free-Video
Michael Penn

Sums of Squares - Number Theory

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Explore number theory concepts focusing on sums of squares, including a theorem and its proof, enhancing mathematical understanding and problem-solving skills.
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5 Lesons
35 minutes
On-Demand
Free-Video
Michael Penn

Square Roots Mod P - Number Theory

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Explore square roots in modular arithmetic, a key concept in number theory. Learn proofs, work through examples, and gain practical problem-solving skills in this engaging mathematical exploration.
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5 Lesons
20 minutes
On-Demand
Free-Video
Michael Penn

Quadratic Reciprocity Proof - Number Theory

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Explore an in-depth proof of quadratic reciprocity in number theory, covering Legendre symbols, Gauss limits, and key concepts essential for understanding this fundamental theorem.
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7 Lesons
41 minutes
On-Demand
Free-Video
Michael Penn

Wilson's Theorem - Number Theory

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Explore Wilson's Theorem in number theory, including its proof, examples, and applications. Gain insights into this fundamental concept and its significance in mathematical reasoning.
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5 Lesons
29 minutes
On-Demand
Free-Video
Michael Penn

Multivariable Calculus - Stoke's Theorem

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Explore Stoke's Theorem in multivariable calculus, including its description and a proof outline, enhancing understanding of vector calculus and its applications in physics and engineering.
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1 Lesons
21 minutes
On-Demand
Free-Video
Michael Penn

Abstract Algebra - Eisenstein's Criterion

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Proof and examples of Eisenstein's criterion in abstract algebra, demonstrating its application in determining polynomial irreducibility over rational numbers.
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1 Lesons
23 minutes
On-Demand
Free-Video
Michael Penn

Pi Is Irrational

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Explore a simple proof demonstrating pi's irrationality, delving into mathematical concepts and reasoning behind this fundamental property of the famous constant.
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6 Lesons
23 minutes
On-Demand
Free-Video
Michael Penn

Real Analysis - Subsequences

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Explore subsequences in Real Analysis, including the Bolzano-Weirstrass Theorem. Learn key concepts and proofs to deepen your understanding of this fundamental mathematical topic.
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1 Lesons
22 minutes
On-Demand
Free-Video
Michael Penn

Real Analysis - Algebraic Properties of Limits

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Explore algebraic properties of limits in real analysis, proving classic theorems and enhancing understanding of fundamental mathematical concepts.
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5 Lesons
21 minutes
On-Demand
Free-Video
Michael Penn

Real Analysis - The Countability of the Rational Numbers

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Explore a rigorous proof demonstrating the countability of rational numbers using a unique approach of representing them as a countable union of disjoint finite sets in real analysis.
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5 Lesons
21 minutes
On-Demand
Free-Video
Michael Penn

Abstract Algebra - If D is a UFD then D[x] is a UFD

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Explore the proof that polynomial rings over unique factorization domains are also UFDs, covering key concepts like Gauss' lemma and polynomial factorization in integral domains.
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6 Lesons
26 minutes
On-Demand
Free-Video
Michael Penn

Mathematical Induction - Number Theory

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Explore mathematical induction in number theory through examples, proofs, and practice problems. Learn to apply this powerful technique to prove statements about integers and sequences.
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9 Lesons
32 minutes
On-Demand
Free-Video
Michael Penn

Proofs by Mathematical Induction

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Explore the principle of mathematical induction through clear explanations and diverse examples, enhancing your ability to construct rigorous proofs in mathematics.
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1 Lesons
24 minutes
On-Demand
Free-Video
Michael Penn

A Cornucopia of Proofs

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Learn various proof-writing techniques with Michael Penn in less than an hour. Randolph College Math and Science.
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1 Lesons
24 minutes
On-Demand
Free-Video
Michael Penn

Real Analysis - The Fundamental Theorem of Calculus

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Comprehensive proof of both parts of the Fundamental Theorem of Calculus, demonstrating the relationship between differentiation and integration in real analysis.
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1 Lesons
23 minutes
On-Demand
Free-Video
Michael Penn

Real Analysis - L'Hospital's Rule - Infinity-Infinity Case

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Rigorous proof of L'Hospital's rule for infinity/infinity case, demonstrating its application in calculating limits of indeterminate forms in real analysis.
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7 Lesons
20 minutes
On-Demand
Free-Video
International Mathematical Union

Composing and Decomposing Surfaces in R^n

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Explore surface decomposition in R^n, Lipschitz functions, nonorientability, and their applications in mathematics, with insights on the Heisenberg group.
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12 Lesons
44 minutes
On-Demand
Free-Video
International Mathematical Union

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

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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.
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37 Lesons
47 minutes
On-Demand
Free-Video
International Mathematical Union

Oded Regev: The Reverse Minkowski Theorem

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Explore the Reverse Minkowski Theorem, its applications, and open questions in lattice theory with mathematician Oded Regev in this insightful mathematical lecture.
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16 Lesons
44 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Borsuk-Ulam Theorems into Higher-Dimensional Codomains

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Exploration of Borsuk-Ulam theorems in higher dimensions, generalizing results and discussing open questions related to optimal diameters and Schur polynomials.
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9 Lesons
50 minutes
On-Demand
Free-Video
ICTP Mathematics

Solving the 4NLS with White Noise Initial Data

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Explore white noise initial data in solving 4NLS, covering Hamiltonian PDE, globalization arguments, and limit equations. Gain insights into complex mathematical concepts and proofs.
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16 Lesons
1 hour 3 minutes
On-Demand
Free-Video
3Blue1Brown

The Wallis Product for Pi - A Geometric Proof

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Explore a geometric proof of the famous Wallis product for pi in this engaging 27-minute video. Discover the mathematical beauty behind this intriguing formula through clear explanations and visual animations.
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1 Lesons
27 minutes
On-Demand
Free-Video
Fields Institute

Generators of C0-Semigroups of Weighted Composition Operators

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Explore generators of C0-semigroups and weighted composition operators in analytic function spaces, examining key assumptions, proofs, and recent developments in the field.
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14 Lesons
52 minutes
On-Demand
Free-Video
Fields Institute

Non-Vanishing of Poincare Series

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Explore the non-vanishing of Poincaré series in number theory, examining proofs, relationships between functions, and kernel functions in this advanced mathematical seminar.
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9 Lesons
51 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

On the Rational Topological Complexity of Coformal Elliptic Spaces

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Explore rational topological complexity bounds for elliptic spaces, focusing on coformal cases where it aligns with rational homotopy dimension.
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1 Lesons
47 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

A Counter-Example to Hausmann's Conjecture

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Explore a counter-example to Hausmann's conjecture on Vietoris-Rips complexes, challenging long-held beliefs in algebraic topology using persistent homology.
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1 Lesons
53 minutes
On-Demand
Free-Video
IMSA

The Nilpotent Orbit Theorem, New and Old

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Explore Schmid's proof and a new approach to the nilpotent orbit theorem for polarized complex variations of Hodge structure, with insights on local monodromy.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
IMSA

On Mapping Class Groups of Non-Orientable Surfaces

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Exploración de grupos de clases de mapeo en superficies no orientables, abordando el problema de realización de Nielsen y la periodicidad p, con aplicaciones en cohomología de Farrell.
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1 Lesons
55 minutes
On-Demand
Free-Video
Professor Leonard

Proving the Double and Half Angle Formulas for Trigonometry

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Explore proofs of double and half angle formulas for sine, cosine, and tangent, enhancing understanding of trigonometric identities and their derivations.
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1 Lesons
27 minutes
On-Demand
Free-Video
Professor Leonard

Proof by Mathematical Induction - Precalculus - College Algebra

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Learn to prove summation formulas using Mathematical Induction, a powerful technique for verifying mathematical statements across infinite sets of natural numbers.
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1 Lesons
23 minutes
On-Demand
Free-Video
Mathologer

The Fix-the-Wobbly-Table Theorem

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Explore the fascinating wobbly table theorem, its history, and mathematical proof. Learn how rotating rectangular tables can stabilize them on uneven surfaces, with insights into the underlying principles.
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1 Lesons
23 minutes
On-Demand
Free-Video
Mathologer

Euler's and Fermat's Last Theorems, the Simpsons and CDC6600

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Explore Fermat's last theorem, Euler's conjecture, and their connections to pop culture and computing history. Delve into mathematical proofs and historical insights.
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1 Lesons
32 minutes
On-Demand
Free-Video
Mathologer

Visualising Pythagoras - Ultimate Proofs and Crazy Contortions

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Explore visually stunning Pythagorean proofs and related theorems, including unique variations and lesser-known facts, in this engaging mathematical journey.
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1 Lesons
21 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Algorithm and Abstraction in Formal Mathematics - IPAM at UCLA

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Explore the paradox of formalized proofs, blending abstraction and computation in mathematics. Discover a new aesthetic that embraces algorithms and cross-referencing in formal mathematical discourse.
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1 Lesons
50 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

How to Prove a Calculation Correct? - IPAM at UCLA

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Explore alternative methods for proving calculation correctness, focusing on real algebraic geometry and using intermediate information as hints for proof engines.
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1 Lesons
52 minutes
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Free-Video
International Mathematical Union

Lower Bounds on the Top Lyapunov Exponent of Stochastic Systems

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Explore lower bounds on top Lyapunov exponents in stochastic systems, examining mathematical techniques and implications for understanding system behavior and stability.
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1 Lesons
49 minutes
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International Mathematical Union

Ofer Gabber- Bounding the Torsion in the L-adic Cohomology of Smooth Projective Varieties Without

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Explore advanced mathematical concepts in l-adic cohomology, focusing on torsion bounds in smooth projective varieties, presented by renowned mathematician Ofer Gabber.
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1 Lesons
45 minutes
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Hausdorff Center for Mathematics

Green Function vs. Geometry

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Explore the relationship between Green functions and geometry in higher dimensions, focusing on regular sets and elliptic operators in mathematical analysis.
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1 Lesons
48 minutes
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Applied Algebraic Topology Network

Higher Topological Complexity of Seifert Fibered Manifolds

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Explore LS-category and topological complexity of Seifert fibered manifolds, examining lower bounds for higher TC using cohomology class weights and deriving TC_n ranges.
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1 Lesons
49 minutes
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ICTP Mathematics

Do Limit Sets Move Continuously? - C. Series

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Explore the continuity of limit set movement in dynamical systems, examining mathematical concepts and their implications for understanding complex behaviors.
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1 Lesons
1 hour 3 minutes
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ICTP Mathematics

Characterization of Free Boundary CMC Surfaces in the Ball

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Exploration of compact stable CMC surfaces with free boundary in convex domains, focusing on classification in the unit Euclidean three-ball and characterization of equatorial disk and critical catenoid.
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1 Lesons
50 minutes
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ICTP Mathematics

Bounds on the Number of Generators of Prime Ideals

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Explore prime ideals and their generators, focusing on mathematical bounds and theoretical implications in algebraic geometry and commutative algebra.
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1 Lesons
35 minutes
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Fields Institute

Primes, Postdocs and Pretentiousness - 2021 CRM-Fields-PIMS Prize Lecture

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Explore prime numbers, academic careers, and mathematical concepts in this engaging lecture by renowned mathematician Andrew Granville, offering insights into number theory and research.
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1 Lesons
59 minutes
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Free-Video
Hausdorff Center for Mathematics

An Overview Over Least Fixed Points in Weak Set Theories

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Explore least fixed points in weak set theories, comparing standard constructions and their implications in Kripke Platek Set Theory extensions without the powerset axiom.
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1 Lesons
27 minutes
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