{"product_id":"transition-to-advanced-mathematics-danilo-r-diedrichs-9780367494445","title":"Transition to Advanced Mathematics","description":"\u003cp\u003eThis unique and contemporary text not only offers an introduction to proofs with a view towards algebra and analysis, a standard fare for a transition course, but also presents practical skills for upper-level mathematics coursework and exposes undergraduate students to the context and culture of contemporary mathematics. \u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003eThe authors implement the practice recommended by the Committee on the Undergraduate Program in Mathematics (CUPM) curriculum guide, that a modern mathematics program should include cognitive goals and offer a broad perspective of the discipline.\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003ePart I offers: \u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003col\u003e \u003cp\u003e \u003c\/p\u003e\n\u003cli\u003eAn introduction to logic and set theory.\u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e\n\u003cli\u003eProof methods as a vehicle leading to topics useful for analysis, topology, algebra, and probability. \u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e\n\u003cli\u003eMany illustrated examples, often drawing on what students already know, that minimize conversation about \"doing proofs.\"\u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e\n\u003cli\u003eAn appendix that provides an annotated rubric with feedback codes for assessing proof writing.\u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e\n\u003c\/ol\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003ePart II presents the context and culture aspects of the transition experience, including: \u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003col\u003e \u003cp\u003e \u003c\/p\u003e\n\u003cli\u003e21\u003csup\u003est\u003c\/sup\u003e century mathematics, including the current mathematical culture, vocations, and careers.\u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e\n\u003cli\u003eHistory and philosophical issues in mathematics.\u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e\n\u003cli\u003eApproaching, reading, and learning from journal articles and other primary sources.\u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e\n\u003cli\u003eMathematical writing and typesetting in LaTeX.\u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e\n\u003c\/ol\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003eTogether, these Parts provide a complete introduction to modern mathematics, both in content and practice. \u003c\/p\u003e \u003cp\u003e\u003cstrong\u003eTable of Contents\u003c\/strong\u003e\u003c\/p\u003e\u003cb\u003e \u003c\/b\u003e\u003cp\u003e Part I - Introduction to Proofs\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003col\u003e\n\u003cb\u003e \u003c\/b\u003e\u003cp\u003e \u003c\/p\u003e\n\u003cli\u003eLogic and Sets\u003c\/li\u003e \u003cli\u003e\u003cb\u003eArguments and Proofs\u003c\/b\u003e\u003c\/li\u003e \u003cli\u003e\u003cb\u003eFunctions\u003c\/b\u003e\u003c\/li\u003e \u003cli\u003e\u003cb\u003eProperties of the Integers\u003c\/b\u003e\u003c\/li\u003e \u003cli\u003e\u003cb\u003eCounting and Combinatorial Arguments\u003c\/b\u003e\u003c\/li\u003e \u003cli\u003e\n\u003cstrong\u003eRelations \u003cp\u003e\u003c\/p\u003ePart II - Culture, History, Reading, and Writing\u003c\/strong\u003e\u003cbr\u003e\n\u003c\/li\u003e \u003cli\u003e\u003cb\u003eMathematical Culture, Vocation, and Careers\u003c\/b\u003e\u003c\/li\u003e \u003cli\u003e\u003cb\u003eHistory and Philosophy of Mathematics\u003c\/b\u003e\u003c\/li\u003e \u003cli\u003e\u003cb\u003eReading and Researching Mathematics\u003c\/b\u003e\u003c\/li\u003e \u003cli\u003e\u003cb\u003eWriting and Presenting Mathematics\u003c\/b\u003e\u003c\/li\u003e\n\u003c\/ol\u003e \u003cp\u003e\u003cb\u003eAppendix A. Rubric for Assessing Proofs\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix B. Index of Theorems and Definitions from Calculus and Linear Algebra\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eBibliography\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIndex\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e\u003cb\u003e \u003c\/b\u003e\u003cp\u003eBiographies\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e\u003cb\u003e \u003c\/b\u003e\u003cp\u003eDanilo R. Diedrichs is an Associate Professor of Mathematics at Wheaton College in Illinois.　 Raised and educated in Switzerland, he holds a PhD in applied mathematical and computational sciences from the University of Iowa, as well as a master's degree in civil engineering from the Ecole Polytechnique F馘駻ale in Lausanne, Switzerland. His research interests are in dynamical systems modeling applied to biology, ecology, and epidemiology.\u003c\/p\u003e \u003cp\u003e\u003cstrong\u003eStephen Lovett \u003c\/strong\u003eis a Professor of Mathematics at Wheaton College in Illinois. He holds a PhD in representation theory from Northeastern University. His other books include \u003ci\u003eAbstract Algebra: Structures and Applications \u003c\/i\u003e(2015), \u003ci\u003eDifferential Geometry of Curves and Surfaces, \u003c\/i\u003e with Tom Banchoff (2016), and \u003ci\u003eDifferential Geometry of Manifolds\u003c\/i\u003e (2019).\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e　\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e\u003cbr\u003e \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Danilo R. Diedrichs, Stephen Lovett\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0367494442\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780367494445\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e CRC Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 05\/27\/2022\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 552\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 2.08lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 1.19d","brand":"Danilo R. Diedrichs","offers":[{"title":"Hardcover","offer_id":44128210977023,"sku":"9780367494445","price":110.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_c8a65382-cb77-49e9-8f09-4cbb98c0ba3e.jpg?v=1687457546","url":"https:\/\/www.whiterainbookhouse.com\/products\/transition-to-advanced-mathematics-danilo-r-diedrichs-9780367494445","provider":"WR Book House","version":"1.0","type":"link"}