Preface
Chapter 1 Set,Structure of Operation on Set
1.1 Sets,the Relations and Operations between Sets
1.1.1 Relations between sets
1.1.2 Operations between sets
1.1.3 Mappings between sets
1.2 Structures of Operations on Sets
1.2.1 Groups,rings,fields,and linear spaces
1.2.2 Group theory,some important groups
1.2.3 Subgroups,product groups,quotient groups
Exercise 1
Chapter 2 Linear Spaces and Linear Transformations
2.1 Linear Spaces
2.1.1 Examples
2.1.2 Bases of linear spaces
2.1.3 Subspaces and product/direct-sum/quitient spaces
2.1.4 Inner product spaces
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