Classical Spherical Trigonometry - Universal Hyperbolic Geometry
Comprehensive overview of classical spherical trigonometry, covering key concepts, laws, and theorems. Introduces a new algebraic approach to simplify and enhance the traditional framework.
GCSE Maths Exam Question Compilations
Comprehensive GCSE Maths exam question compilations covering various topics, offering in-depth revision and exam preparation through analysis of past questions and effective problem-solving strategies.
AQA Higher Paper 2 - Advance Information and Additional Resources - GCSE Maths June 7th 2022
Comprehensive GCSE Maths Higher Paper 2 preparation, covering key topics with exam-style questions and topic tests for effective revision and exam success.
O Level Trigonometry
Comprehensive coverage of trigonometry concepts for O Level Math, including right-angled triangles, Pythagoras theorem, trigonometric ratios, sine and cosine rules, and practical applications.
Trigonometry O Level
Comprehensive trigonometry coverage for O Level, including right-angled triangles, Pythagoras theorem, trigonometric ratios, sine and cosine rules, area calculations, and practical applications.
GCSE Maths Revision - Geometry and Measures
Comprehensive revision of geometry and measures for GCSE maths, covering trigonometry, circle theorems, angles, areas, volumes, and more. Essential exam preparation for various exam boards.
Triangles - CBSE Class 10 Mathematics
Comprehensive tutorial on triangle geometry covering similarity, theorems, and problem-solving for 10th grade mathematics, with emphasis on CBSE curriculum and exam preparation.
Essential Mathematics for Aspiring Game Developers
Learn core principles for dynamic game development: vectors, angles, and motion. Understand relationships between concepts and their practical applications in game programming.
Neil Turok Public Lecture - The Astonishing Simplicity of Everything
Explore the universe's simplicity at largest and tiniest scales, uncovering new physics avenues and potential technological breakthroughs with renowned physicist Neil Turok.
The Relativistic Dot Product - Wild Linear Algebra B
Explore the relativistic dot product in Einstein's Special Relativity, comparing it to the Euclidean dot product and examining its applications in geometry and physics.
Circles and Spheres via Dot Products II - Wild Linear Algebra A
Explore 3D Euclidean dot products, quadrance, linear functionals, and spheres. Learn about projections, Pythagoras' theorem, and perpendicularity in three-dimensional space.
Dot Products, Pythagoras' Theorem, and Generalizations - Wild Linear Algebra A - NJ Wildberger
Algebraic approach to metrical geometry using dot products and quadrance. Introduces symmetric bilinear forms for understanding relativistic geometry, with applications to linear algebra and physics.
Geometry with Linear Algebra - Wild Linear Algebra A - NJ Wildberger
Explore the connection between linear algebra and geometry, focusing on Pythagoras' theorem and perpendicularity. Learn how linear algebra provides a solid framework for understanding Euclidean and other geometries.
The Area of a Triangle and Archimedes' Formula - Famous Math Problems
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.
Trigonometry in Elliptic Geometry II - Universal Hyperbolic Geometry - NJ Wildberger
Explore elliptic trigonometry laws, including Spread, Cross, and Dual cross, using linear algebra. Learn proofs for Thales', Pythagoras', and Triple Quad formulas in elliptic geometry.
The General Rational Laws of Trigonometry - WildTrig: Intro to Rational Trigonometry
Explore general rational trigonometry laws in a planar setting, deriving elegant algebraic formulas without transcendental functions or real numbers. Learn key mathematical principles efficiently.
Trigonometric Dual Laws and the Parallax Formula - Universal Hyperbolic Geometry
Explore trigonometric dual laws and the Right parallax formula in Universal Hyperbolic Geometry. Learn about Pythagoras' theorem, Cross dual law, and zero quadrance/spread theorems.
Thales' Theorem, Right Triangles + Napier's Rules - Universal Hyperbolic Geometry
Explores Thales' theorem and Napier's rules in universal hyperbolic geometry, focusing on right triangles. Covers key concepts like quadrea, spreads, and proofs, with practical exercises for deeper understanding.
Pythagoras' Theorem in Universal Hyperbolic Geometry
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.
Rational Trigonometry in Three Dimensions - Universal Hyperbolic Geometry
Extending rational trigonometry to 3D using vectors and dot products. Explores quadrance, spread, and key trigonometric laws. Introduces solid spread and determinants for three vectors.
Rational Trigonometry - An Overview - Universal Hyperbolic Geometry
Introduces rational trigonometry using vectors, replacing distance and angle with quadrance and spread. Covers key concepts, formulas, and laws, offering a purely algebraic approach to trigonometry and geometry.