{"product_id":"the-nuts-and-bolts-of-antonella-cupillari-9780323990202","title":"The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs","description":"\u003cp\u003e\u003ci\u003eThe Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs, Fifth Edition\u003c\/i\u003e 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.\u003c\/p\u003e \u003cp\u003eIncluded 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.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Antonella Cupillari\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0323990207\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780323990202\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Academic Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 02\/06\/2023\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 416\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback","brand":"Antonella Cupillari","offers":[{"title":"Paperback","offer_id":44080259268863,"sku":"9780323990202","price":59.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_3406c031-54ae-4de5-8a18-ba620114abef.jpg?v=1685485814","url":"https:\/\/www.whiterainbookhouse.com\/products\/the-nuts-and-bolts-of-antonella-cupillari-9780323990202","provider":"WR Book House","version":"1.0","type":"link"}