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Constructing and Comparing the Natural Integers

How to count up to infinity and compare natural integers between them

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That course is an introduction to the first tool for mathematics: the simpler numbers that are the natural integers.

These are the numbers we use to count, and they are introduced in a progressive way, beginning with counting on our fingers, then counting with the computer, in Python coding sessions, and ending with the biggest numbers we can imagine.

By the end of that course, you will be able to compare two natural integers, to order a list of them, and even to define and draw a sequence of natural integers.

You will also be ready for the rest of our series about Practical Mathematics, the math that are taught from a practical point of view, based on Python coding sessions, and bringing you from arithmetics and number theory up to Calculus.

To enter that course, you will need only the knowledge of a child of sixth degree.

There are two main sections, one with the construction of the natural integers set, beginning with the plain counting operation, and the second one that structures the natural integers set as an increasing sequence from 0 to… infinity!

And, last but not least, you will become the owner of a downloadable recapitulative documents, with the knowledge given by the videos fixed as rigorously proven theorems.


Your Instructor


Fabienne Chaplais
Fabienne Chaplais

Fabienne holds the “Agrégation de Mathématiques“
, the French Highest Degree to teach math in Secondary Schools.

After a career of 26 years as a R&D engineer in applied mathematics, she founded Mathedu (Re-engineering Mathematics) with her husband and collaborator François, 
to teach mathematics from a practical point of view, based on Python coding.

She is both an expert in teaching math and a passionated woman and will help you to experiment the joyce of increasing your mastery in mathematics.

Course Curriculum


  First Section
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  Section 2 - Count and Construct the Natural Integers set
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  Section 3 - Order the Natural Integers Set
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  Section 4: Conclusion
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Frequently Asked Questions


When does the course start and finish?
The course starts now and never ends! It is a completely self-paced online course - you decide when you start and when you finish.
How long do I have access to the course?
How does lifetime access sound? After enrolling, you have unlimited access to this course for as long as you like - across any and all devices you own.
What if I am unhappy with the course?
We would never want you to be unhappy! If you are unsatisfied with your purchase, contact us in the first 30 days and we will give you a full refund.

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