How to read and do proofs : an introduction to mathematical thought processes
Başlık:
How to read and do proofs : an introduction to mathematical thought processes
ISBN:
9780470392164
Personal Author:
Edition:
5th ed.
Yayın Bilgileri:
Hoboken, N.J. : Wiley, c2010.
Fiziksel Tanımlama:
xviii, 301 p. : ill. ; 23 cm.
Contents:
The truth of it all -- The forward-backward method -- On definitions and mathematical terminology -- Quantifiers 1: the construction method -- Quantifiers II: the choose method -- Quantifiers III: specialization -- Quantifiers IV: nested quantifiers -- Nots of nots lead to knots -- the contradiction method -- The contrapositive method -- The uniqueness methods -- Induction -- The either/or methods -- The max/min methods -- Summary -- Appendices: Examples of proofs from discrete mathematics ; Examples of proofs from linear algebra ; Examples of proofs from modern algebra ; Examples of proofs from real analysis.
Dil:
English