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The Nuts and Bolts of Proofs - An Introduction to Mathematical Proofs (Paperback, 4th edition)
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The Nuts and Bolts of Proofs - An Introduction to Mathematical Proofs (Paperback, 4th edition)
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The Nuts and Bolts of Proofs: An Introduction to Mathematical
Proofs provides basic logic of mathematical proofs and shows how
mathematical proofs work. It offers techniques for both reading and
writing proofs. The second chapter of the book discusses the
techniques in proving if/then statements by contrapositive and
proofing by contradiction. It also includes the negation statement,
and/or. It examines various theorems, such as the if and only-if,
or equivalence theorems, the existence theorems, and the uniqueness
theorems. In addition, use of counter examples, mathematical
induction, composite statements including multiple hypothesis and
multiple conclusions, and equality of numbers are covered in this
chapter. 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 invaluable.
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