{"product_id":"models-and-ultraproducts-an-introduction-dover-books-on-mathematics","title":"Models and Ultraproducts: An Introduction (Dover Books on Mathematics)","description":"\u003ch3\u003eBook Details:\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e: Dover\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eAuthor\u003c\/strong\u003e: J L Bell\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eLanguage\u003c\/strong\u003e: English\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eEdition\u003c\/strong\u003e: Illustrated Edition\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eISBN\u003c\/strong\u003e: 9780486449791\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003ePages\u003c\/strong\u003e: 336\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eBinding\u003c\/strong\u003e: Paperback\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eRelease Date\u003c\/strong\u003e: 26-05-2006\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003ePackage Dimensions\u003c\/strong\u003e: 8.4 x 5.4 x 0.7 inches\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch3\u003eAbout The Book:\u003c\/h3\u003e\n\u003cp\u003e\u003cem\u003eModel Theory: An Introduction\u003c\/em\u003e by J L Bell is an accessible and thorough introduction to the fundamental concepts of model theory, making it ideal for first-year graduate students. The book focuses on the ultraproduct construction, offering a detailed examination of its properties and the areas in which it is most useful.\u003c\/p\u003e\n\u003cp\u003eBeginning with foundational topics such as Boolean algebra, propositional calculus, and predicate calculus, the book then delves into the core of model theory. The fourth chapter introduces model theory proper, with in-depth discussions on ultraproduct construction, elementary equivalence, and algebraic descriptions of elementary classes.\u003c\/p\u003e\n\u003cp\u003eThe text also covers completeness, as well as key results from the works of Jónsson, Morley, and Vaught on homogeneous universal models, and Keisler’s contributions to the concept of saturated structures. Classical results from Gödel and Skolem are explored, and the book extends classical first-order logic to include generalized quantifiers and infinitary languages.\u003c\/p\u003e\n\u003cp\u003eWith numerous exercises throughout, \u003cem\u003eModel Theory: An Introduction\u003c\/em\u003e offers both theoretical insights and practical problems to reinforce understanding, making it an invaluable resource for students in logic and mathematical theory.\u003c\/p\u003e","brand":"Dover","offers":[{"title":"Default Title","offer_id":49931487183152,"sku":"Sarat_9780486449791","price":1422.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0690\/9968\/4144\/files\/dover-book-default-title-models-and-ultraproducts-an-introduction-dover-books-on-mathematics-41261369753904.jpg?v=1775941458","url":"https:\/\/www.retailmaharaj.com\/products\/models-and-ultraproducts-an-introduction-dover-books-on-mathematics","provider":"Retail Maharaj","version":"1.0","type":"link"}