Book of Proof

The language and common mathematical proving techniques are introduced in this work. It serves as a transition from the computational courses (such as calculus or differential equations) that first-year college students normally take to a more abstract perspective. It lays the groundwork for more theoretical courses like topology, analysis, and abstract algebra. There is essentially no prerequisite other than a certain level of mathematical maturity, though it might be more meaningful to the student who has taken some calculus.

The language and common mathematical proving techniques are introduced in this work. It serves as a transition from the computational courses (such as calculus or differential equations) that first-year college students normally take to a more abstract perspective. It lays the groundwork for more theoretical courses like topology, analysis, and abstract algebra. There is essentially no prerequisite other than a certain level of mathematical maturity, though it might be more meaningful to the student who has taken some calculus.

Sets, logic, counting, conditional and non-conditional proof techniques, disproof, inuction, relations, functions, calculus proofs, and infinite cardinality are among the topics covered.”

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