000754867 000__ 03318cam\a2200457Ii\4500 000754867 001__ 754867 000754867 005__ 20230306141731.0 000754867 006__ m\\\\\o\\d\\\\\\\\ 000754867 007__ cr\cn\nnnunnun 000754867 008__ 160420s2016\\\\sz\a\\\\o\\\\\001\0\eng\d 000754867 020__ $$a9783319281063$$q(electronic book) 000754867 020__ $$a3319281062$$q(electronic book) 000754867 020__ $$z9783319281049 000754867 0247_ $$a10.1007/978-3-319-28106-3$$2doi 000754867 035__ $$aSP(OCoLC)ocn946988824 000754867 035__ $$aSP(OCoLC)946988824 000754867 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDXCP$$dOCLCF$$dVT2$$dCOO 000754867 043__ $$an-cn-on 000754867 049__ $$aISEA 000754867 050_4 $$aQA43 000754867 08204 $$a510.79$$223 000754867 1001_ $$aBarbeau, Edward,$$d1938-$$eauthor. 000754867 24510 $$aUniversity of Toronto mathematics competition (2001-2015)$$h[electronic resource] /$$cby Edward J. Barbeau. 000754867 264_1 $$aSwitzerland :$$bSpringer,$$c2016. 000754867 300__ $$a1 online resource (viii, 207 pages) :$$billustrations. 000754867 336__ $$atext$$btxt$$2rdacontent 000754867 337__ $$acomputer$$bc$$2rdamedia 000754867 338__ $$aonline resource$$bcr$$2rdacarrier 000754867 4901_ $$aProblem books in mathematics,$$x0941-3502 000754867 500__ $$aIncludes index. 000754867 5050_ $$aPreface -- 1. Problems of the Contests -- 2. Algebra -- 3. Inequalities -- 4. Sequences and Series -- 5. Calculus and its Applications -- 6. Other Topics in Analysis -- 7. Linear Algebra -- 8. Geometry -- 9. Group Theory -- 10. Combinatorics and Finite Mathematics -- 11. Number Theory -- Appendix A: Definitions, Conventions, Notation, and Basics -- Appendix B: Top-Ranking Students -- Index. . 000754867 506__ $$aAccess limited to authorized users. 000754867 520__ $$aThis text records the problems given for the first 15 annual undergraduate mathematics competitions, held in March each year since 2001 at the University of Toronto. Problems cover areas of single-variable differential and integral calculus, linear algebra, advanced algebra, analytic geometry, combinatorics, basic group theory, and number theory. The problems of the competitions are given in chronological order as presented to the students. The solutions appear in subsequent chapters according to subject matter. Appendices recall some background material and list the names of students who did well. The University of Toronto Undergraduate Competition was founded to provide additional competition experience for undergraduates preparing for the Putnam competition, and is particularly useful for the freshman or sophomore undergraduate. Lecturers, instructors, and coaches for mathematics competitions will find this presentation useful. Many of the problems are of intermediate difficulty and relate to the first two years of the undergraduate curriculum. The problems presented may be particularly useful for regular class assignments. Moreover, this text contains problems that lie outside the regular syllabus and may interest students who are eager to learn beyond the classroom. 000754867 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed April 20, 2016). 000754867 650_0 $$aMathematics$$xCompetitions$$zOntario$$zToronto. 000754867 77608 $$iPrint version:$$z9783319281049 000754867 830_0 $$aProblem books in mathematics. 000754867 852__ $$bebk 000754867 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-28106-3$$zOnline Access$$91397441.1 000754867 909CO $$ooai:library.usi.edu:754867$$pGLOBAL_SET 000754867 980__ $$aEBOOK 000754867 980__ $$aBIB 000754867 982__ $$aEbook 000754867 983__ $$aOnline 000754867 994__ $$a92$$bISE