The Nuts and Bolts of Proofs
An Introduction to Mathematical Proofs
- Antonella Cupillari, Pennsylvania State Erie, Behrend College, U.S.A.
The Nuts and Bolts of Proof instructs students on the basic logic of mathematical proofs, showing how and why proofs of mathematical statements work. It provides them with techniques they can use to gain an inside view of the subject, reach other results, remember results more easily, or rederive them if the results are forgotten.A flow chart graphically demonstrates the basic steps in the construction of any proof and numerous examples illustrate the method and detail necessary to prove various kinds of theorems.
Intended as a supplement for undergraduate courses in higher mathematics (including Linear Algebra and Geometry), discrete mathematics courses in computer science, and as a primer to assist engineering and physical science students on fundamental proof techniques