{"product_id":"the-nuts-and-bolts-of-proofs-an-introduction-to-mathematical-proofs-paperback-9780323990202","title":"The Nuts and Bolts of Proofs; An Introduction to Mathematical Proofs (Paperback \/ softback) 9780323990202","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThe Nuts and Bolts of Proofs\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eAn Introduction to Mathematical Proofs\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eDemonstrates the construction of proofs to help students develop the skills they need to transition to higher-level, more abstract math courses\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eAntonella Cupillari (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780323990202\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 21 March 2023\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e416 pages\u003cbr\u003e23.5 x 19 x 2.6 cm, 0.86 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\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\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Getting Started\u003cbr\u003e2. Basic Techniques to Prove If\/Then Statements\u003cbr\u003e3. Special Kinds of Theorems\u003cbr\u003e4. Some Mathematical Topics on Which to Practice Proof Techniques\u003cbr\u003e5. Review Exercises\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical logic [\u003ca title=\"See our other books on Mathematical logic\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20logic%20%5BPBCD%5D%22\"\u003ePBCD\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Freshly Printed Books","offers":[{"title":"Default Title","offer_id":46648827150616,"sku":"9780323990202","price":40.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780323990202_6aa68d9a-fd66-483c-9823-dcf11e1cde1b.jpg?v=1694976318","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/the-nuts-and-bolts-of-proofs-an-introduction-to-mathematical-proofs-paperback-9780323990202","provider":"Freshly Printed Books","version":"1.0","type":"link"}