In the physical world, many seemingly basic things turn out to be built from even more basic things. Molecules are made of atoms, atoms are made of protons, neutrons, and electrons. So what are numbers made of?

Infinities come in different sizes. There's a whole tower of progressively larger "sizes of infinity". So what's the right way to describe the size of the whole tower?

A beutiful derivation of a formula for pi. At first, 1-1/3+1/5-1/7+1/9-.... seems unrelated to circles, but in fact there is a circle hiding here, as well as some interesting facts about prime numbers in the context of complex numbers.

What is the Riemann zeta function? What is analytic continuation? This video lays out the complex analysis needed to answer these questions.

What is the Riemann zeta function? What is analytic continuation? This video lays out the complex analysis needed to answer these questions.

Peano arithmetic proves many theories in mathematics but does have its limits. In order to prove certain things you have to step beyond these axioms. Sometimes you need infinity.

If Fermat had a little more room in his margin, what proof would he have written there?

Pupil outcome: I can appreciate the accuracy in leaving an answer without carrying out the final operation. Key learning points: - There is always a choice regarding how you represent a value. - You need to consider the most suitable way...

In this video, we define sequences and establish some common vocabulary to be used in the following videos.

How can you evaluate an arithmetic series for the first n terms? This video derives the rule/equation, and then includes a few practice problems. We begin by investigating how to the the sum of the first "n" natural numbers, then we...

This video will give you a clear and concise overview of the different types of numbers you'll encounter in mathematics. We focus on the different types of numbers within the Real Number category, including natural, whole, integers,...

In this video, we will discuss a solution on the For loop operator where you will be doing sum of natural numbers in JavaScript from the previous video.
<
br/>
This clip is from the chapter "Introduction to Programming and...

This is an exercise video on For loop operator where you will be doing sum of natural numbers in JavaScript.
<
br/>
This clip is from the chapter "Introduction to Programming and JavaScript Basics for Absolute Beginners" of the...

Equations: Fractions and Mixed Numbers solves real-world problems involving multiplication of fractions and mixed numbers by using equations.

This video explores the concept of Infinity and how it is not a number but a representation of the size of a never-ending number line. It delves into countable and uncountable infinities, and even touches on the practical applications of...

Marcus du Sautoy takes us on a tour of the mathematical universe - from zero to infinity - and shows us how weird and wonderful numbers can be. In this programme, Marcus explains how humans first started counting with the whole numbers,...

In this lesson, students will learn about imaginary numbers by exploring the concept of the imaginary unit, denoted by the letter "I." They will understand that imaginary numbers, such as I, exist outside of the real number system and...

Roman numerals are an ancient base-10 natural number system. Understanding Roman numerals (a sign-value notation) can shed light on our modern number system which uses positional notation.

It explains the concept of sequence and series and the difference between the two. It also explains the method to identify the general term of a sequence.

In this video, the concept of infinity is explored through the Infinite Hotel Paradox. The video also discusses scenarios involving an infinite number of passengers arriving on buses and how the manager assigns them to rooms using...

In this video we will learn some mistakes we make in real numbers

Compare two multi-digit whole numbers in base-ten numerals.

Read and write multi-digit whole numbers in base-ten numerals.

Use words (number names) to read and write whole numbers!