{"product_id":"9783319342689","title":"Springer Monographs in Mathematics: A Gentle Introduction","description":"\u003ch1\u003eSpringer Monographs in Mathematics: A Gentle Introduction\u003c\/h1\u003e \u003ch2\u003ePudlák, Pavel\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe two main themes of this book, logic and complexity, are both essential for understanding the main problems about the foundations of mathematics. \u003ci\u003eLogical Foundations of Mathematics and Computational Complexity\u003c\/i\u003e covers a broad spectrum of results in logic and set theory that are relevant to the foundations, as well as the results in computational complexity and the interdisciplinary area of proof complexity. The author presents his ideas on how these areas are connected, what are the most fundamental problems and how they should be approached. In particular, he argues that complexity is as important for foundations as are the more traditional concepts of computability and provability.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eEmphasis is on explaining the essence of concepts and the ideas of proofs, rather than presenting precise formal statements and full proofs. Each section starts with concepts and results easily explained, and gradually proceeds to more difficult ones. The notes after each section present some formal definitions, theorems and proofs.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003ci\u003eLogical Foundations of Mathematics and Computational Complexity\u003c\/i\u003e is aimed at graduate students of all fields of mathematics who are interested in logic, complexity and foundations. It will also be of interest for both physicists and philosophers who are curious to learn the basics of logic and complexity theory.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2016-08-23\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319342689\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-00119-7\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 695\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":44521601007756,"sku":"9783319342689","price":179.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319342689.jpg?v=1775706102","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783319342689","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}