The Nuts and Bolts of Proofs
An Introduction to Mathematical Proofs
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18 228 Ft
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Product details:
- Edition number 4
- Publisher Elsevier Science
- Date of Publication 14 February 2012
- ISBN 9780123822178
- Binding Paperback
- No. of pages296 pages
- Size 234x190 mm
- Weight 620 g
- Language English 0
Categories
Long description:
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.
MoreTable of Contents:
1. Getting Started2. Basic Techniques to Prove If/Then Statements3. Special kinds of Theorems4. Some mathematical topics on which to practice proof techniques5. Review Exercises
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