Natural Numbers Course
Enhance your number theory expertise through this comprehensive Natural Numbers course, covering prime factorisation, GCD via Euclidean algorithm, induction, well-ordering principles, and concepts of infinity. Designed to refine proof techniques, organise logical reasoning, and bolster skills for advanced mathematical pursuits, ensuring precision and clarity in all computations and presentations.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course builds a strong foundation in primes, unique factorisation, divisibility, GCD, and the Euclidean algorithm, progressing to order, well-ordering, and induction with practical examples. It further covers infinity, bijections, and cardinality, while enhancing proof-writing skills for clear, structured mathematical arguments and projects.
Elevify advantages
Develop skills
- Master prime factorisation to quickly break down integers and utilise GCD and LCM effectively.
- Gain fluency in the Euclidean algorithm for accurate GCD calculations and linear combinations.
- Develop proficiency in induction and well-ordering to construct solid proofs over natural numbers.
- Understand infinity and cardinality by applying bijections to assess infinite set sizes.
- Hone proof-writing skills to deliver clear, precise arguments suitable for professional mathematicians.
Suggested summary
Before starting, you can change the chapters and workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
FAQs
Who is Elevify? How does it work?
Do the courses have certificates?
Are the courses free?
What is the course workload?
What are the courses like?
How do the courses work?
What is the duration of the courses?
What is the cost or price of the courses?
What is an EAD or online course and how does it work?
PDF Course