{"product_id":"history-of-western-society-volume-c-book-university-john-p-mckay-9780312640637","title":"A History of Western Society, Volume C","description":"An admirable introduction to the rigorous theory of the continuum. -- \u003ci\u003eScience Progress\u003cbr\u003e\u003c\/i\u003eExtremely readable . . . a clear axiomatically constructed introduction. -- \u003ci\u003eElemente der Mathematik\u003cbr\u003e\u003c\/i\u003eThis classic of mathematics presents the best systematic elementary account of the modern theory of the continuum as a type of serial order. Based on the Dedekind-Cantor ordinal theory, this text is suitable for advanced undergraduates and graduate students in mathematics and requires no knowledge of higher mathematics.\u003cbr\u003eThe treatment begins with a historical introduction, followed by chapters on classes in general; simply ordered classes, or series; discrete series, especially the type of the natural numbers; and dense series, especially the type of the rational numbers. Subsequent chapters explore continuous series, especially the type of the real numbers; continuous series of more than one dimension, with a note on multiply ordered classes; and well-ordered series, with an introduction to Cantor's transfinite numbers. An Index of Technical Terms concludes the text.","brand":"WoB","offers":[{"title":"US \/ WELL_READ \/ SBYB","offer_id":50298679820561,"sku":"CIN0312640633A","price":29.94,"currency_code":"USD","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":50347560435985,"sku":"CIN0312640633G","price":9.34,"currency_code":"USD","in_stock":true},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":51323632353553,"sku":"CIN0312640633VG","price":8.1,"currency_code":"USD","in_stock":false}],"url":"https:\/\/www.worldofbooks.com\/products\/history-of-western-society-volume-c-book-university-john-p-mckay-9780312640637","provider":"World of Books ","version":"1.0","type":"link"}