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The Nuts and Bolts of Proofs - An Introduction to Mathematical Proofs (Paperback, 5th edition)
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The Nuts and Bolts of Proofs - An Introduction to Mathematical Proofs (Paperback, 5th edition)
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The Nuts and Bolts of Proofs: An Introduction to Mathematical
Proofs, Fifth Edition provides basic logic of mathematical proofs
and how they work. The book offers techniques for both reading and
writing proofs, discusses techniques in proving if/then statements
by contrapositive and proofing by contradiction, includes the
negation statement, and/or, examines various theorems, such as the
if and only-if, equivalence theorems, existence theorems, and the
uniqueness theorems. In addition, the use of counter examples,
mathematical induction, composite statements including multiple
hypothesis and multiple conclusions, and equality of numbers are
also covered. The book also provides mathematical topics for
practicing proof techniques. Included here are the Cartesian
products, indexed families, functions, and relations. The last
chapter of the book provides review exercises on various topics.
Undergraduate students in engineering and physical science will
find this book accessible as well as invaluable.
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