{"product_id":"9781631894596","title":"Constructing Numbers: An Inquiry-Based Capstone Mathematics Course (First Edition)","description":"\"The discovery-based \u003ci\u003eConstructing Numbers: An Inquiry-Based Capstone Mathematics Course\u003c\/i\u003e helps students synthesize material from elementary analysis, linear algebra, algebraic structures, and geometry while providing perspective on how mathematical thought has developed.\u003cp\u003eThe book opens with the history of numbers. It moves on to cover axiomatic systems, real, complex, and constructible numbers, and an algebraic formulation of field construction. The final chapters are devoted to finite fields, probability, and permutation groups. \u003c\/p\u003e\u003cp\u003eBy actively participating in the exercises and proofs, students learn how the material progresses in a logical way. They master the content by doing the work and presenting their results. \u003c\/p\u003e\u003cp\u003eWorking through \u003ci\u003eConstructing Numbers\u003c\/i\u003e gives students a deeper understanding of the discipline of mathematics. They understand the importance of moving beyond a strictly mechanical approach to \"doing\" mathematics and to instead ask \"why\" mathematical processes are as they are. \u003c\/p\u003e\u003cp\u003eIntended for one-semester upper-division classes, \u003ci\u003eConstructing Numbers\u003c\/i\u003e can be used in capstone courses in the major, or classes for pre-service secondary mathematics teachers.\u003c\/p\u003e\u003cp\u003e\u003cb\u003eMark L. Daniels\u003c\/b\u003e is a clinical professor of mathematics in the UTeach Natural Sciences Program at the University of Texas, Austin. Professor Daniels' mathematical interests include discrete deterministic chaos, inquiry-based instruction in undergraduate mathematics, and the development of secondary mathematics teachers.\u003c\/p\u003e\u003cp\u003e\u003cb\u003eEfraim P. Armendariz\u003c\/b\u003e (1938 - 2013) was an algebraist and professor of mathematics at the University of Texas, Austin. Professor Armendariz devoted much of his career to enhancing the content knowledge of undergraduate and graduate mathematics students as well as both pre-service and in-service mathematics teachers.\u003c\/p\u003e","brand":"Cognella Inc.","offers":[{"title":"Default Title","offer_id":47031894507760,"sku":"9781631894596","price":58.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9781631894596_p0.jpg?v=1763673361","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9781631894596","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}