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The Nuts and Bolts of Proofs An Introduction to Mathematical Proofs /

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 cont...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Cupillari, Antonella (Autor)
Formato: eBook
Idioma:Inglés
Publicado: Amsterdam : Academic Press, 2023.
Edición:5th edition.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario: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.
Descripción Física:1 online resource
ISBN:0323990215
9780323990202
0323990207
9780323990219