TY - BOOK AU - Hammack, Richard H. AU - Richard H. Hammack. TI - Book of proof SN - 9780989472128 U1 - 511.3 HAM PY - 2018/// CY - , Richmond, Virginia PB - : Richard Hammack KW - Topology KW - Abstract algebra KW - Proof by contradiction KW - Mathematical induction N1 - Sets Logic Counting Direct proof Contrapostivie proof Proof by contradiction Proving non-conditional statements Proofs involving sets Disproof Mathematical induction Relations Functions Cardinality of sets Conclusion Solutions N2 - "This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality." ER -