Course MA2C03, Michaelmas Term 2014 Section 2: Abstract Algebra
نویسنده
چکیده
2 Abstract Algebra 24 2.1 Binary Operations on Sets . . . . . . . . . . . . . . . . . . . . 24 2.2 Commutative Binary Operations . . . . . . . . . . . . . . . . 24 2.3 Associative Binary Operations . . . . . . . . . . . . . . . . . . 24 2.4 Semigroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 2.5 The General Associative Law . . . . . . . . . . . . . . . . . . 26 2.6 Identity elements . . . . . . . . . . . . . . . . . . . . . . . . . 27 2.7 Monoids . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 2.8 Inverses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 2.9 Groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 2.10 Homomorphisms and Isomorphisms . . . . . . . . . . . . . . . 33
منابع مشابه
Course MA2C03, Michaelmas Term 2013 Section 3: Abstract Algebra
3 Abstract Algebra 33 3.1 Binary Operations on Sets . . . . . . . . . . . . . . . . . . . . 33 3.2 Commutative Binary Operations . . . . . . . . . . . . . . . . 33 3.3 Associative Binary Operations . . . . . . . . . . . . . . . . . . 33 3.4 Semigroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 3.5 The General Associative Law . . . . . . . . . . . . . . . . . . 35 3.6 Identity el...
متن کاملCourse MA2C01, Michaelmas Term 2012 Section 3: Abstract Algebra
3 Abstract Algebra 32 3.1 Binary Operations on Sets . . . . . . . . . . . . . . . . . . . . 32 3.2 Commutative Binary Operations . . . . . . . . . . . . . . . . 32 3.3 Associative Binary Operations . . . . . . . . . . . . . . . . . . 32 3.4 Semigroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 3.5 The General Associative Law . . . . . . . . . . . . . . . . . . 34 3.6 Identity el...
متن کاملCourse MA2C03, Michaelmas Term 2014 Section 1: Sets and Functions
1 Sets and Functions 1 1.1 Sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Unions, Intersections and Complements of Sets . . . . . . . . . 1 1.3 Subsets and Power Sets . . . . . . . . . . . . . . . . . . . . . . 3 1.4 The Specification of Sets . . . . . . . . . . . . . . . . . . . . . 5 1.5 Binary Relations . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.6 Congr...
متن کاملCourse MA2C03, Michaelmas Term 2013 Section 2: Sets and Functions
2 Sets and Functions 10 2.1 Sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.2 Unions, Intersections and Complements of Sets . . . . . . . . . 10 2.3 Subsets and Power Sets . . . . . . . . . . . . . . . . . . . . . . 12 2.4 The Specification of Sets . . . . . . . . . . . . . . . . . . . . . 14 2.5 Binary Relations . . . . . . . . . . . . . . . . . . . . . . . . . 15 2.6...
متن کاملCourse Ma2c03, Hilary Term 2014 Section 7: Periodic Series and Functions
7 Periodic Series and Functions 128 7.1 Basic Trigonometric Identities . . . . . . . . . . . . . . . . . . 128 7.2 Basic Trigonometric Integrals . . . . . . . . . . . . . . . . . . 130 7.3 Basic Properties of Complex Numbers . . . . . . . . . . . . . 131 7.4 Complex Numbers and Trigonometrical Identities . . . . . . . 133 7.5 The Exponential of a Complex Number . . . . . . . . . . . . . 133 7.6...
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