University of Toronto Mathematics Competition (2001–2015)
Springer International Publishing (Verlag)
978-3-319-28104-9 (ISBN)
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.
Ed Barbeau is professor emeritus at the University of Toronto. Dr. Barbeau is a life member of the MAA, the AMS, and the CMS, and has served all three societies on various committees, particularly having to do with mathematics education. He has published a number of books directed to students of mathematics and their teachers, including "Polynomials" (Springer), "Pell's Equation" (Springer). Ed Barbeau has frequently given talks and workshops at professional meetings and in schools, has worked with high school students preparing for Olympiad competitions and has on five occasions accompanied the Canadian team to the International Mathematical Olympiad. He is currently associate editor in charge of the Fallacies, Flaws and Flimflam column in the College Mathematics Journal and education editor for the Notes of the Canadian Mathematical Society. He is a former chairman of the Education Committee of the Canadian Mathematical Society. Honors include the Fellowship of the Ontario Institute for Studies in Education, the David Hilbert Award from the World Federation of National Mathematics Competitions and the Adrien Pouliot Award from the Canadian Mathematical Society.
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.
"The book under review is mainly intended for undergraduate and graduate students in mathematics, as well as for researchers engaged in the interplay among applied analysis, mathematical physics, and numerical analysis." (Teodora-Liliana Radulescu, zbMATH 1357.97001, 2017)
"This book is the compilation of the problems from those competitions from 2001 to 2015, along with their solutions, an appendix of notation and key results, and an appendix listing the top ranking students. ... This books seems most useful as a supplementary resource for a problem solving or Putnam prep group, class, or math club." (Megan Patnott, MAA Reviews, maa.org, August, 2016)
| Erscheinungsdatum | 30.03.2016 |
|---|---|
| Reihe/Serie | Problem Books in Mathematics |
| Zusatzinfo | VIII, 207 p. 5 illus., 1 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Schlagworte | advanced algebra • analytic geometry • combinatorics • Differential Equations • fundamental group theory • Geometry • Group Theory and Generalizations • linear algebra • mathematics and statistics • Ordinary differential equations • Putnam competition preparation • real functions • single-variable calculus • Toronto math competition • undergraduate problems mathematics • university mathematics competition |
| ISBN-10 | 3-319-28104-6 / 3319281046 |
| ISBN-13 | 978-3-319-28104-9 / 9783319281049 |
| Zustand | Neuware |
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