Mathematical Method Notes: Chapter 02 – Groups
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A set and a binary operation come together to form a group. As an illustration, the collection of integers with an addition operation forms a group, as does the set of real numbers with a binary addition process.
Course Contents

Definition (axioms of the group)

Definition ( commutative group )

Definition (idempotent)

Properties of Group

Theorem (The Cancellation Law)

Theorem (Solution of Linear Equations )

Subgroups

Definition ( subgroup )

Cyclic Groups

Definition ( cyclic group )

CosetsLagrange’s Theorem

Permutations

Cycles

Transpositions

Order of a Permutation

Rings and Fields

Properties of Rings
Mathematical Method Notes By S.M Yusuf
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Mathematical Method Notes By Prof NaeemUlHaq
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