{"product_id":"9780486161075","title":"The Continuum and Other Types of Serial Order","description":"\"An admirable introduction to the rigorous theory of the continuum.\"—\u003ci\u003eScience Progress\u003c\/i\u003e\u003cbr\u003e\u003cbr\u003e\"Extremely readable . . . a clear axiomatically constructed introduction.\"—\u003ci\u003eElemente der Mathematik\u003c\/i\u003e\u003cbr\u003e\u003cbr\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 requires no knowledge of higher mathematics. Contents include a historical introduction and chapters on classes in general; simply ordered classes, or series; discrete series, especially the type of the natural numbers; dense series, especially the type of the rational numbers; 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. 1917 edition. 119 footnotes, mostly bibliographical.","brand":"Dover Publications","offers":[{"title":"Default Title","offer_id":47120103964912,"sku":"9780486161075","price":10.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9780486161075_p0.jpg?v=1763708573","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9780486161075","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}