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.Download
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