Book of Proof -

Richard Hammack

Creative Commons

2018

368 páginas

12h 16m

ISBN-13: 9780989472135

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 theorical 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, calculus proofs and infinite cardinality.
Richard Hammack is a Professor of Mathematics at Virginia Commonwealth University in Richmond, Virginia.