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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
EXERCISES WITHOUT SOLUTIONS
Discuss the truth of the following statements. Prove the ones that are true; find a counterexample for each one
of the false statements. Exercises with the symbol (*) require knowledge of calculus and/or linear algebra.
General Topics
1. I. Write each of the following statements in the form If A, then B.
II. Construct the contrapositive of each statement:
Every differentiable function is continuous.
The sum of two consecutive numbers is always an odd number.
The product of two consecutive numbers is always an even number.
No integer of the form n
2
+ 1 is a multiple of 7.
Two parabolas having three points in common ...
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Publisher Resources

ISBN: 9780123822178