{"product_id":"transition-to-advanced-mathematics","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\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\u003ePart I offers:\u003c\/p\u003e\u003col\u003e \u003cp\u003e \u003c\/p\u003e \u003cli\u003eAn introduction to logic and set theory.\u003c\/li\u003e \u003cp\u003e \u003c\/p\u003e \u003cli\u003eProof methods as a vehicle leading to topics useful for analysis, topology, algebra, and probability. \u003c\/li\u003e \u003cp\u003e \u003c\/p\u003e \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 \u003cli\u003eAn appendix that provides an annotated rubric with feedback codes for assessing proof writing.\u003c\/li\u003e \u003c\/ol\u003e\u003cp\u003ePart II presents the context and culture aspects of the transition experience, including:\u003c\/p\u003e\u003col\u003e \u003cp\u003e \u003c\/p\u003e \u003cli\u003e21st century mathematics, including the current mathematical culture, vocations, and careers.\u003c\/li\u003e \u003cp\u003e \u003c\/p\u003e \u003cli\u003eHistory and philosophical issues in mathematics.\u003c\/li\u003e \u003cp\u003e \u003c\/p\u003e \u003cli\u003eApproaching, reading, and learning from journal articles and other primary sources.\u003c\/li\u003e \u003cp\u003e \u003c\/p\u003e \u003cli\u003eMathematical writing and typesetting in LaTeX.\u003c\/li\u003e \u003c\/ol\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\u003cp\u003e Part I - Introduction to Proofs\u003c\/p\u003e\u003col\u003e \u003cb\u003e \u003c\/b\u003e\u003cp\u003e \u003c\/p\u003e \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 \u003cstrong\u003eRelations\u003cbr\u003e\u003cbr\u003ePart II - Culture, History, Reading, and Writing\u003c\/strong\u003e\u003cbr\u003e \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 \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\u003eBiographies\u003c\/p\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 Fédérale 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","brand":"Taylor \u0026 Francis","offers":[{"title":"Default Title","offer_id":45542411960558,"sku":"9780367494445","price":152.15,"currency_code":"AUD","in_stock":true}],"url":"https:\/\/bookland.com.au\/products\/transition-to-advanced-mathematics","provider":"Book Land AU","version":"1.0","type":"link"}