Elements modern algebra 8e linda gilbert

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Nội dung chi tiết: Elements modern algebra 8e linda gilbert

Elements modern algebra 8e linda gilbert

Elements ofMO D E RN ALGEBRAGilbert ♦ GilbertSpecial Notationsrhe following is a list of the special notations used in this text, arranged in order of

Elements modern algebra 8e linda gilbert f their first appearance in the text. Numbers refer to the pages where the notations arc defined.{a}set with a as its only element 1xG.AX is an elemen

t of the set A. 2X&AX is not an element of the set A, 2A c Ifuiif □ AA is a subset of If, 2AGifA is a proper subset of R. 3AU Runion of A and R, 3AOBi Elements modern algebra 8e linda gilbert

ntersection of A and 2Í, 30empty set. 4y(A)power set of A, 4uuniversal set 5A ifcomplement of if in A. 5A' 7.complement of A, 5 set of all integers. 6

Elements modern algebra 8e linda gilbert

set of all positive integers, 6Qset of all rational numbers. 6Rset of all real numbers, 6Rset of all positive real numbers, 6cset of all complex numb

Elements ofMO D E RN ALGEBRAGilbert ♦ GilbertSpecial Notationsrhe following is a list of the special notations used in this text, arranged in order of

Elements modern algebra 8e linda gilbert ent a under/. 14f: A —* R or A-> R/is a mapping from A to R, 14/(.V)image of ll>e set 5 under/.15/-■(r)inverse image of lite set Ỉ under/.15Eset of al

l even integers, 18composition mapping, 205(A)set of all permutations on A. 38,M(A)set of all mappings from A to A. 38identity mapping from A to A, 3X Elements modern algebra 8e linda gilbert

?’inverse of a mapping, 42matrix with m rows, n columns, and elements fly. 44A/mx„(5)set of all m X n matrices over 5, 45

Elements ofMO D E RN ALGEBRAGilbert ♦ GilbertSpecial Notationsrhe following is a list of the special notations used in this text, arranged in order of