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The Nuts and Bolts of Proofs, 4th Edition
book

The Nuts and Bolts of Proofs, 4th Edition

by Antonella Cupillari
January 2011
Beginner content levelBeginner
296 pages
11h 43m
English
Academic Press
Content preview from The Nuts and Bolts of Proofs, 4th Edition
Then, which one of the two principles should be used in a proof by induction? The first answer is that
since the two principles are logically equivalent, it really does not make any difference. One could always
use the Stro ng Principle of Mathemati cal Inductio n si nce its inductive hypothe sis seems to co ver more
ground. In general, when proving equalities, the Principle of Mathematical Induction is sufficient. For
some mathematicians it is a matter of elegance and beauty to use as little mathematical machinery as pos-
sible when constructing a proof, and therefore t hey prefer to use the Principle of Mathematical Induction
whenever possible. ...
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Publisher Resources

ISBN: 9780123822178