{"product_id":"logic-for-mathematicians-paperback-9780521368650","title":"Logic for Mathematicians (Paperback) 9780521368650","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eLogic for Mathematicians\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis is an introductory textbook which is designed to be useful not only to intending logicians but also to mathematicians in general.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eA. G. Hamilton (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521368650, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 29 September 1988\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e240 pages\u003cbr\u003e22.9 x 15.4 x 2.4 cm, 0.345 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\"\u003eHere is an introductory textbook which is designed to be useful not only to intending logicians but also to mathematicians in general. Based on Dr Hamilton's lectures to third and fourth year undergraduate mathematicians at the University of Stirling it has been written to introduce student or professional mathematicians, whose background need cover no more than a typical first year undergraduate mathematics course, to the techniques and principal results of mathematical logic. In presenting the subject matter without bias towards particular aspects, applications or developments, an attempt has been made to place it in the context of mathematics and to emphasise the relevance of logic to the mathematician. Starting at an elementart level, the text progresses from informal discussion to the precise description and use of formal mathematical and logical systems. The early chapters cover propositional and predicate calculus. The later chapters deal with Gödel's theorem on the incompleteness of arithmetic and with various undecidability and unsolvability results, including a discussion of Turing machines and abstract computability. Each section ends with exercises designed to clarify and consolidate the material in that section. Hints or solutions to many of these are provided at the end of the book. The revision of this very successful textbook includes new sections on Skolemisation and applying well-formed formulas to logic programming. Some corrections have been made and extra exercises added.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Informal statement calculus\u003cbr\u003e 2. Formal statement calculus\u003cbr\u003e 3. Informal predicate calculus\u003cbr\u003e 4. Formal predicate calculus\u003cbr\u003e 5. Mathematical systems\u003cbr\u003e 6. The Gödel incompleteness theorem\u003cbr\u003e 7. Computability, unsolvability, undecidability\u003cbr\u003e Appendix\u003cbr\u003e Hints and solutions to selected exercises\u003cbr\u003e References and further reading\u003cbr\u003e Glossary of symbols\u003cbr\u003e Index.\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":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46002514690328,"sku":"9780521368650","price":51.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521368650i_b1691256-4a7c-48b7-9bf3-27cab8f28553.jpg?v=1691375821","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/logic-for-mathematicians-paperback-9780521368650","provider":"Freshly Printed Books","version":"1.0","type":"link"}