A bridge into mathematical proof
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A bridge into mathematical proof
Book of Proof introduces the language and standard methods used to construct and assess mathematical arguments. Its topics progress from foundational ideas—including sets, logic, and counting—to proof techniques such as induction, conditional and non-conditional proof, and disproof. Relations, functions, calculus proofs, and infinite cardinality extend the scope. The book is positioned as a transition from computational college mathematics toward the more abstract foundations used in subjects such as topology, analysis, and abstract algebra. The description identifies mathematical maturity as the main prerequisite, while noting that prior calculus may make the material more meaningful.
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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.
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