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· 제목 : Proofs and Ideas : A Prelude to Advanced Mathematics (Paperback)
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 일반
· ISBN : 9781470465148
· 쪽수 : 339쪽
· 출판일 : 2022-01-01
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 일반
· ISBN : 9781470465148
· 쪽수 : 339쪽
· 출판일 : 2022-01-01
목차
- Introduction
- The pigeonhole principle
- Statements
- Counting, combinations
- Sets and functions
- Interlude: So, how to prove it? An essay
- Induction
- Cardinality of sets
- Equivalence relations
- Unique prime factorization in the integers
- Sequences, series, continuity, limits
- The completeness of $\mathbb{R}$
- Groups and symmetry
- Graphs: An introduction
- Index
