{"product_id":"9783031924323","title":"Theory and Applications of Computability: A Unified Approach","description":"\u003ch1\u003eTheory and Applications of Computability: A Unified Approach\u003c\/h1\u003e \u003ch2\u003eDowney, Rodney G.; Melnikov, Alexander\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis is the first book which gives a unified theory for countable and uncountable computable structures.\u003c\/p\u003e\n\u003cp\u003eThe work treats computable linear orderings, graphs, groups and Boolean algebras unified with computable metric and Banach spaces, profinite groups, and the like. Further, it provides the first account of these that exploits effective versions of dualities, such as Stone and Pontryagin dualities. The themes are effective classification and enumeration.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eTopics and features:\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp style=\"margin-left: 1.0in; text-indent: -.25in; mso-list: l0 level1 lfo1;\"\u003e\u003c!-- [if !supportLists]--\u003e\u003cspan style=\"font-family: Symbol; mso-fareast-font-family: Symbol; mso-bidi-font-family: Symbol;\"\u003e\u003cspan style=\"mso-list: Ignore;\"\u003e·\u003cspan style=\"font: 7.0pt 'Times New Roman';\"\u003e       \u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c!--[endif]--\u003eDelivers a self-contained, gentle introduction to priority arguments, directly applying them in algebraic contexts\u003c\/p\u003e\n\u003cp style=\"margin-left: 1.0in; text-indent: -.25in; mso-list: l0 level1 lfo1;\"\u003e\u003c!-- [if !supportLists]--\u003e\u003cspan style=\"font-family: Symbol; mso-fareast-font-family: Symbol; mso-bidi-font-family: Symbol;\"\u003e\u003cspan style=\"mso-list: Ignore;\"\u003e·\u003cspan style=\"font: 7.0pt 'Times New Roman';\"\u003e       \u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c!--[endif]--\u003eIncludes extensive exercises that both cement and amplify the materials\u003c\/p\u003e\n\u003cp style=\"margin-left: 1.0in; text-indent: -.25in; mso-list: l0 level1 lfo1;\"\u003e\u003c!-- [if !supportLists]--\u003e\u003cspan style=\"font-family: Symbol; mso-fareast-font-family: Symbol; mso-bidi-font-family: Symbol;\"\u003e\u003cspan style=\"mso-list: Ignore;\"\u003e·\u003cspan style=\"font: 7.0pt 'Times New Roman';\"\u003e       \u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c!--[endif]--\u003eProvides complete introduction to the basics of computable analysis, particularly in the context of computable structures\u003c\/p\u003e\n\u003cp style=\"margin-left: 1.0in; text-indent: -.25in; mso-list: l0 level1 lfo1;\"\u003e\u003c!-- [if !supportLists]--\u003e\u003cspan style=\"font-family: Symbol; mso-fareast-font-family: Symbol; mso-bidi-font-family: Symbol;\"\u003e\u003cspan style=\"mso-list: Ignore;\"\u003e·\u003cspan style=\"font: 7.0pt 'Times New Roman';\"\u003e       \u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c!--[endif]--\u003eOffers the first monograph treatment of computable Polish groups, effective profinite groups via Stone duality, and effective abelian groups via Pontryagin duality\u003c\/p\u003e\n\u003cp style=\"margin-left: 1.0in; text-indent: -.25in; mso-list: l0 level1 lfo1;\"\u003e\u003c!-- [if !supportLists]--\u003e\u003cspan style=\"font-family: Symbol; mso-fareast-font-family: Symbol; mso-bidi-font-family: Symbol;\"\u003e\u003cspan style=\"mso-list: Ignore;\"\u003e·\u003cspan style=\"font: 7.0pt 'Times New Roman';\"\u003e       \u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c!--[endif]--\u003ePresents the first book treatment of Friedberg enumerations of structures\u003c\/p\u003e\n\u003cp\u003eThis unique volume is aimed at graduate students and researchers in computability theory, as well as mathematicians seeking to understand the algorithmic content of structure theory. Being self-contained, it provides ample opportunity for self-study.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2025-08-22\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783031924323\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-031-92433-0\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 540\u003c\/p\u003e ","brand":"Springer Nature Switzerland","offers":[{"title":"Default Title","offer_id":44309295202444,"sku":"9783031924323","price":125.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783031924323.jpg?v=1774499785","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783031924323","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}