====== Chapter 02: Groups ====== {{ :bsc:notes_of_mathematical_method:ch02-methods-ads.jpg?nolink&640x800|Chapter 02: Groups}} Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. ====Contents and summary==== * Definition (axioms of 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 ) * Cosets-Lagrange’s Theorem * Permutations * Cycles * Transpositions * Order of a Permutation * Rings and Fields * Properties of Rings ====View online or download==== **Notes by Shahzad Ahmed Khan:** * **Exercise 2.1** | VIEW [[:BSc:Notes of Mathematical Method:Ch02 Groups:Viewer?f=ch02/Chap-02-Solutions-Ex-2-1-Method-SAK|View online]] | [[pdf>files/bsc/method/dn.php?file=ch02/Chap-02-Solutions-Ex-2-1-Method-SAK.pdf|Download PDF]] * **Exercise 2.2** | VIEW [[:BSc:Notes of Mathematical Method:Ch02 Groups:Viewer?f=ch02/Chap-02-Solutions-Ex-2-2-Method-SAK|View online]] | [[pdf>files/bsc/method/dn.php?file=ch02/Chap-02-Solutions-Ex-2-2-Method-SAK.pdf|Download PDF]] * **Exercise 2.3** | VIEW [[:BSc:Notes of Mathematical Method:Ch02 Groups:Viewer?f=ch02/Chap-02-Solutions-Ex-2-3-Method-SAK|View online]] | [[pdf>files/bsc/method/dn.php?file=ch02/Chap-02-Solutions-Ex-2-3-Method-SAK.pdf|Download PDF]] **Notes by Shariq Mehtab Syed:** * **Exercise 2.1** | VIEW [[:BSc:Notes of Mathematical Method:Ch02 Groups:Viewer?f=ch02/Chap-02-Solutions-Ex-2-1-Method|View online]] | [[pdf>files/bsc/method/dn.php?file=ch02/Chap-02-Solutions-Ex-2-1-Method.pdf|Download PDF]] * **Exercise 2.2** | VIEW [[:BSc:Notes of Mathematical Method:Ch02 Groups:Viewer?f=ch02/Chap-02-Solutions-Ex-2-2-Method|View online]] | [[pdf>files/bsc/method/dn.php?file=ch02/Chap-02-Solutions-Ex-2-2-Method.pdf|Download PDF]] * **Exercise 2.3** | VIEW [[:BSc:Notes of Mathematical Method:Ch02 Groups:Viewer?f=ch02/Chap-02-Solutions-Ex-2-3-Method|View online]] | [[pdf>files/bsc/method/dn.php?file=ch02/Chap-02-Solutions-Ex-2-3-Method.pdf|Download PDF]] {{tag>BSc_Mathematical_Method}}