{"title":"Iosif Il'ich Gol'dman","description":null,"products":[{"product_id":"problems-in-quantum-mechanics-book-iosif-il-ich-gol-dman-9780486675275","title":"Problems in Quantum Mechanics","description":"\u003cp\u003eThe field of weak arithmetics is an application of logical methods to number theory that was developed by mathematicians, philosophers, and theoretical computer scientists. In this volume, after a general presentation of weak arithmetics, the following topics are studied: the properties of integers of a real closed field equipped with exponentiation; conservation results for the induction schema restricted to first-order formulas with a finite number of alternations of quantifiers; a survey on a class of tools called pebble games; the fact that the reals \u003ci\u003ee\u003c\/i\u003e and pi have approximations expressed by first-order formulas using bounded quantifiers; properties of infinite pictures depending on the universe of sets used; a language that simulates in a sufficiently nice manner all algorithms of a certain restricted class; the logical complexity of the axiom of infinity in some variants of set theory without the axiom of foundation; and the complexity to determine whether a trace is included in another one.\u003cb\u003e\u003c\/b\u003e\u003c\/p\u003e","brand":"WoB","offers":[{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":49510946111761,"sku":"GOR007372813","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":49530437992721,"sku":"CIN0486675270G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ WELL_READ \/ SBYB","offer_id":50913688060177,"sku":"CIN0486675270A","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":53054172299537,"sku":"CIN0486675270VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0486675270.jpg?v=1751293565"}],"url":"https:\/\/www.worldofbooks.com\/collections\/author-books-by-iosif-il-ich-gol-dman.oembed","provider":"World of Books ","version":"1.0","type":"link"}