Natural Numbers Course
Enhance your expertise in number theory through this comprehensive Natural Numbers course. Master prime factorisation, GCD computations using the Euclidean algorithm, induction proofs, well-ordering principles, and concepts of infinity with bijections and cardinality. The course is designed to refine your proof techniques, organise your logical reasoning effectively, and prepare you for advanced mathematical studies with precision and clarity.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
This course provides a strong foundation in prime numbers, unique factorisation, divisibility, GCD, and the Euclidean algorithm. It then advances to order, well-ordering principle, and mathematical induction with detailed examples. You will also delve into concepts of infinity, bijections, and cardinality, while honing proof-writing skills to ensure your arguments, calculations, and final project are accurate, well-structured, and persuasive.
Elevify advantages
Develop skills
- Master prime factorisation to break down integers quickly and utilise GCD and LCM effectively.
- Gain fluency in the Euclidean algorithm for computing GCDs and linear combinations accurately.
- Develop skills in induction and well-ordering to construct solid proofs over natural numbers.
- Understand infinity and cardinality by applying bijections to analyse infinite sets.
- Learn to write clear, precise proofs suitable for professional mathematical communication.
Suggested summary
Before starting, you can change the chapters and the 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