Course 2BA1, 2008–09 Section 4: Abstract Algebra
نویسنده
چکیده
4 Abstract Algebra 56 4.1 Binary Operations on Sets . . . . . . . . . . . . . . . . . . . . 56 4.2 Commutative Binary Operations . . . . . . . . . . . . . . . . 56 4.3 Associative Binary Operations . . . . . . . . . . . . . . . . . . 56 4.4 Semigroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 4.5 The General Associative Law . . . . . . . . . . . . . . . . . . 58 4.6 Identity elements . . . . . . . . . . . . . . . . . . . . . . . . . 59 4.7 Monoids . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 4.8 Inverses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 4.9 Groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 4.10 Homomorphisms and Isomorphisms . . . . . . . . . . . . . . . 65
منابع مشابه
Course 2BA1, 2008–09 Section 8: Introduction to Number Theory and Cryptography
8 Introduction to Number Theory and Cryptography 125 8.1 Subgroups of the Integers . . . . . . . . . . . . . . . . . . . . 125 8.2 Greatest Common Divisors . . . . . . . . . . . . . . . . . . . . 125 8.3 The Euclidean Algorithm . . . . . . . . . . . . . . . . . . . . . 126 8.4 Prime Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . 129 8.5 The Fundamental Theorem of Arithmetic . . . ....
متن کاملCourse 2BA1, 2008–09 Section 2: Sets and Functions
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algebra is an important course in the undergraduate mathematics curriculum. For some undergraduates, abstract algebra is the first mathematics course in which they must move beyond learning templates and procedures for solving common classes of problems (Dubinsky, Dautermann, Leron, and Zazkis, 1994). For most undergraduates, this course is one of their earliest experiences in coping with the d...
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متن کاملCourse 2BA1: Michaelmas Term 2005 Section 2: Sets and Functions
2 Sets and Functions 1 2.1 Sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2.2 Unions, Intersections and Complements of Sets . . . . . . . . . 2 2.3 Subsets and Power Sets . . . . . . . . . . . . . . . . . . . . . . 4 2.4 The Specification of Sets . . . . . . . . . . . . . . . . . . . . . 6 2.5 Binary Relations . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.6 Congr...
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تاریخ انتشار 2008