Abstract Algebra Course
Master groups, rings, fields, and modular arithmetic, then apply them to real cryptographic algorithms. This Abstract Algebra Course turns theory into concrete computations, security insights, and proof techniques for working mathematicians.
from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This Abstract Algebra Course gives you a fast, practical path from core group, ring, and field concepts to real cryptographic algorithms. You will work with permutation and modular structures, finite fields, and concrete protocols like RSA, Diffie–Hellman, and elliptic curves, while learning proofs, complexity insights, and implementation details that improve both correctness and security in your daily work.
Elevify advantages
Develop skills
- Finite group mastery: model permutations and bitwise groups for fast code.
- Modular arithmetic fluency: implement Z/nZ, fields, and secure number routines.
- Cryptography foundations: build toy RSA, Diffie–Hellman, and ECC by hand.
- Algorithmic algebra: use group and field structure to cut search and prove correctness.
- Security insight: analyze algebraic attacks, parameters, and complexity tradeoffs.
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
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