{"product_id":"set-theory-the-structure-of-arithmetic-9780486824727","title":"Set Theory: The Structure of Arithmetic","description":"This text is formulated on the fundamental idea that much of mathematics, including the classical number systems, can best be based on set theory. Beginning with a discussion of the rudiments of set theory, authors Norman T. Hamilton and Joseph Landin lead readers through a construction of the natural number system, discussing the integers and the rational numbers, and concluding with an in-depth examination of the real numbers. \u003cbr\u003eDrawn from lecture notes for a course intended primarily for high school mathematics teachers, this volume was designed to answer the question, \"What is a number?\" and to provide a foundation for the study of abstract algebra, elementary Euclidean geometry, and analysis. Upon completion of this treatment -- which is suitable for high school mathematics teachers and advanced high school students -- readers should be well prepared for introductory courses in abstract algebra and real variables.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAbout the Author\u003c\/b\u003e\u003cbr\u003eNorman Hamilton and Joseph Landin were both on the faculty at The University of Illinois. Dover also publishes Prof. Landin's \u003ci\u003eIntroduction to Algebraic Structures\u003c\/i\u003e.\u003cbr\u003e","brand":"Dover Publications","offers":[{"title":"Default Title","offer_id":50324858306834,"sku":"9780486824727","price":14.99,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0831\/4771\/8930\/files\/img_b133efc8-bdfa-4714-bd17-b913ad4bdd8b.jpg?v=1727676620","url":"https:\/\/surprise-castle.myshopify.com\/products\/set-theory-the-structure-of-arithmetic-9780486824727","provider":"Surprise Castle","version":"1.0","type":"link"}