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100   $a20160413d2016      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aUniversity of Toronto Mathematics Competition (2001?2015) /$fby Edward J. Barbeau
205   $a1st ed. 2016.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016.
215   $a1 online resource (VIII, 207 p. 5 illus., 1 illus. in color.)
225 1 $aProblem Books in Mathematics,$x0941-3502
300   $aIncludes index.
311   $a3-319-28104-6 
327   $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. .
330   $aThis text records the problems given for the first 15 annual undergraduate mathematics competitions, held in March each year since 2001 at the University of Toronto. Problems cover areas of single-variable differential and integral calculus, linear algebra, advanced algebra, analytic geometry, combinatorics, basic group theory, and number theory. The problems of the competitions are given in chronological order as presented to the students. The solutions appear in subsequent chapters according to subject matter. Appendices recall some background material and list the names of students who did well. The University of Toronto Undergraduate Competition was founded to provide additional competition experience for undergraduates preparing for the Putnam competition, and is particularly useful for the freshman or sophomore undergraduate. Lecturers, instructors, and coaches for mathematics competitions will find this presentation useful. Many of the problems are of intermediate difficulty and relate to the first two years of the undergraduate curriculum. The problems presented may be particularly useful for regular class assignments. Moreover, this text contains problems that lie outside the regular syllabus and may interest students who are eager to learn beyond the classroom.
410  0$aProblem Books in Mathematics,$x0941-3502
606   $aFunctions of real variables
606   $aGeometry
606   $aGroup theory
606   $aDifferential equations
606   $aReal Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12171
606   $aGeometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21006
606   $aGroup Theory and Generalizations$3https://scigraph.springernature.com/ontologies/product-market-codes/M11078
606   $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147
615  0$aFunctions of real variables.
615  0$aGeometry.
615  0$aGroup theory.
615  0$aDifferential equations.
615 14$aReal Functions.
615 24$aGeometry.
615 24$aGroup Theory and Generalizations.
615 24$aOrdinary Differential Equations.
676   $a510.79
700   $aBarbeau$b Edward$f1938-$4aut$4http://id.loc.gov/vocabulary/relators/aut$067749
801  0$bMiAaPQ
801  1$bMiAaPQ
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906   $aBOOK
912   $a9910254069203321
996   $aUniversity of Toronto mathematics competition (2001?2015)$91523714
997   $aUNINA