The Nuts and Bolts of Proofs

- An Introduction to Mathematical Proofs

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The Nuts and Bolts of Proofs
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Format:
Bog, paperback
Udgivelsesdato:
05-01-2012
Sprog:
Engelsk
Udgave:
4th edition.
  • Beskrivelse
  • Yderligere info
  • Anmeldelser

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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Udgivelsesdato:
05-01-2012
ISBN13:
9780123822178
Vægt:
620 g
Dybde:
20 mm
Bredde:
191 mm
Højde:
235 mm
Format:
Paperback
  • Forfattere

  • Bibliotekernes beskrivelse

    Instructs students on the primary basic logic of mathematical proofs, showing how proofs of mathematical statements work. The title provides basic core techniques of how to read and write proofs through examples.

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