Natural Numbers Course
Enhance your expertise in number theory through this comprehensive Natural Numbers course. Master prime factorization, GCD via Euclidean algorithm, induction, well-ordering principles, and infinity with bijections and cardinality. The program focuses on developing rigorous proof skills, logical reasoning structure, and capabilities essential for advanced mathematical studies and professional work.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course provides a strong foundation in prime numbers, unique factorization, divisibility, greatest common divisor, and the Euclidean algorithm. It then advances to ordering principles, well-ordering, mathematical induction with detailed examples. Additionally, it covers concepts of infinity, bijections, and cardinality, while enhancing proof-writing techniques to ensure precise, structured, and persuasive arguments, computations, and projects.
Elevify advantages
Develop skills
- Master prime factorization to quickly factor integers and use GCD and LCM effectively.
- Gain fluency in the Euclidean algorithm for computing GCDs and linear combinations.
- Develop skills in induction and well-ordering to construct solid proofs on natural numbers.
- Understand infinity and cardinality by applying bijections to infinite sets.
- Improve proof writing to deliver clear, precise arguments suitable for mathematicians.
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
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