University of Toronto mathematics co...
Barbeau, Edward J.

 

  • University of Toronto mathematics competition (2001-2015)[electronic resource] /
  • 紀錄類型: 書目-語言資料,印刷品 : Monograph/item
    杜威分類號: 510.79
    書名/作者: University of Toronto mathematics competition (2001-2015)/ by Edward J. Barbeau.
    作者: Barbeau, Edward J.
    出版者: Cham : : Springer International Publishing :, 2016.
    面頁冊數: viii, 207 p. : : ill. (some col.), digital ;; 24 cm.
    Contained By: Springer eBooks
    標題: Mathematics - Competitions - Ontario
    標題: Mathematics.
    標題: Real Functions.
    標題: Geometry.
    標題: Group Theory and Generalizations.
    標題: Ordinary Differential Equations.
    ISBN: 9783319281063
    ISBN: 9783319281049
    內容註: Preface -- 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.
    摘要、提要註: This 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.
    電子資源: http://dx.doi.org/10.1007/978-3-319-28106-3
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