Arithmologia

Trigonometry: What Is It?

This video shows how trigonometry is both interesting and useful. Its history, practical uses, place in mathematics and wide use are all covered. If you are wondering why you might want to learn trigonometry, start here!

From playlist Trigonometry

Pythagorean Trig Identity: Illustrated via Areas

From playlist Trigonometry TikToks

What is a Radian?

From playlist Trigonometry TikToks

Greek Physics: Calculating the distance to the Sun and Moon

This video looks at the method of Aristarchus for determining the distance to the Sun and Moon. This video takes inspiration from the book 'To Explain the World' by Steven Weinberg, which provides an excellent commentary on the discovery of modern science. You can help support this channe

From playlist Pen and Paper

Trigonometry 1 Pythagorean Theorem

Discover the Theorem of Pythagoras.

From playlist Trigonometry

Orthogonality and Orthonormality

We know that the word orthogonal is kind of like the word perpendicular. It implies that two vectors have an angle of ninety degrees or half pi radians between them. But this term means much more than this, as we can have orthogonal matrices, or entire subspaces that are orthogonal to one

From playlist Mathematics (All Of It)

Trigonometry 4 The Area of a Triangle

Various ways of using trigonometry to determine the area of a triangle.

From playlist Trigonometry

Number theory and algebra in Asia (a) | Math History | NJ Wildberger

After the later Alexandrian mathematicians Ptolemy and Diophantus, Greek mathematics went into decline and the focus shifted eastward. This lecture discusses some aspects of Chinese, Indian and Arab mathematics, in particular the interest in number theory: Pell's equation, the Chinese rema

From playlist MathHistory: A course in the History of Mathematics

Linear Transformations: Onto

Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.

From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics

Group Definition (expanded) - Abstract Algebra

The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical sets: the integers, symmetries of shapes, modular arithmetic, NxM matrices, and much more. After learning about groups in detail, you will then be ready to contin

From playlist Abstract Algebra