TY - BOOK AU - Solow,Daniel TI - How to read and do proofs: an introduction to mathematical thought processes SN - 9780470392164 (pbk.) AV - QA9.54 .S65 2010 U1 - 511.3 SOL/How 22 PY - 2010/// CY - Hoboken, N.J. PB - Wiley KW - Proof theory KW - Textbooks KW - Logic, Symbolic and mathematical N1 - Includes bibliographical references and index; 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 ER -